[PPT] - Guiding stars for physics beyond SM: Higgs boson and dark matter PowerPoint Presentation

SLIDE 1

Introduction Invisible SM-like Higgs boson due to X(214) and analysis fault Correlation between masses of SM-like Higgs boson and (singlet) scalar dark matter Higgs boson as the looking glass in mirror model Conclusion and discussion

Guiding stars for physics beyond SM: Higgs boson and dark matter

➪➴✉, Shou-hua Zhu ITP, Peking University January 9, 2008

➪➴✉, Shou-hua Zhu ITP, Peking University Guiding stars for physics beyond SM: Higgs boson and dark matter

SLIDE 2

Introduction Invisible SM-like Higgs boson due to X(214) and analysis fault Correlation between masses of SM-like Higgs boson and (singlet) scalar dark matter Higgs boson as the looking glass in mirror model Conclusion and discussion

Brief Introduction to Institute of Theoretical Physics (ITP)

f Peking University

➪➴✉, Shou-hua Zhu ITP, Peking University Guiding stars for physics beyond SM: Higgs boson and dark matter

SLIDE 3

Introduction Invisible SM-like Higgs boson due to X(214) and analysis fault Correlation between masses of SM-like Higgs boson and (singlet) scalar dark matter Higgs boson as the looking glass in mirror model Conclusion and discussion

String Theory and Cosmology ( > or ≫ TeV):

1

Bin Chen

➪➴✉, Shou-hua Zhu ITP, Peking University Guiding stars for physics beyond SM: Higgs boson and dark matter

SLIDE 4

Introduction Invisible SM-like Higgs boson due to X(214) and analysis fault Correlation between masses of SM-like Higgs boson and (singlet) scalar dark matter Higgs boson as the looking glass in mirror model Conclusion and discussion

TeV Physics (LHC/ILC energy scale):

1

Chong Sheng Li

2

Da-xin Zhang

3

Shou-hua Zhu

➪➴✉, Shou-hua Zhu ITP, Peking University Guiding stars for physics beyond SM: Higgs boson and dark matter

SLIDE 5

Introduction Invisible SM-like Higgs boson due to X(214) and analysis fault Correlation between masses of SM-like Higgs boson and (singlet) scalar dark matter Higgs boson as the looking glass in mirror model Conclusion and discussion

Hadronic Physics (GeV):

1

Kuang-ta Chao (director)

2

Chuan Liu

3

Bo-qiang Ma

4

Han-qing Zheng

5

Shi-lin Zhu

➪➴✉, Shou-hua Zhu ITP, Peking University Guiding stars for physics beyond SM: Higgs boson and dark matter

SLIDE 6

Introduction Invisible SM-like Higgs boson due to X(214) and analysis fault Correlation between masses of SM-like Higgs boson and (singlet) scalar dark matter Higgs boson as the looking glass in mirror model Conclusion and discussion

Nuclear Physics (MeV):

1

Wei-zhen Deng

2

Yi-an Lei

3

Yu-xin Liu

➪➴✉, Shou-hua Zhu ITP, Peking University Guiding stars for physics beyond SM: Higgs boson and dark matter

SLIDE 7

Introduction Invisible SM-like Higgs boson due to X(214) and analysis fault Correlation between masses of SM-like Higgs boson and (singlet) scalar dark matter Higgs boson as the looking glass in mirror model Conclusion and discussion

Condensed Matter Physics (Many-body, eV):

1

Ding-ping Li

2

Zhong-shui Ma

➪➴✉, Shou-hua Zhu ITP, Peking University Guiding stars for physics beyond SM: Higgs boson and dark matter

SLIDE 8

Introduction Invisible SM-like Higgs boson due to X(214) and analysis fault Correlation between masses of SM-like Higgs boson and (singlet) scalar dark matter Higgs boson as the looking glass in mirror model Conclusion and discussion

Introduction Invisible SM-like Higgs boson due to X(214) and analysis fault Correlation between masses of SM-like Higgs boson and (singlet) scalar dark matter Higgs boson as the looking glass in mirror model Conclusion and discussion Higgs sector is the least known part in SM Dark matter is required by cosmological observations! Invisible Higgs boson (Öç❶❞â❢) Higgs boson and/or dark matter as the guiding stars!

Introduction

Higgs sector is the least known part in SM Dark matter is required by cosmological

bservations!

Invisible Higgs boson (Öç❶❞â❢) Higgs boson and/or dark matter as the guiding stars!

➪➴✉, Shou-hua Zhu ITP, Peking University Guiding stars for physics beyond SM: Higgs boson and dark matter

SLIDE 15

Introduction Invisible SM-like Higgs boson due to X(214) and analysis fault Correlation between masses of SM-like Higgs boson and (singlet) scalar dark matter Higgs boson as the looking glass in mirror model Conclusion and discussion Higgs sector is the least known part in SM Dark matter is required by cosmological observations! Invisible Higgs boson (Öç❶❞â❢) Higgs boson and/or dark matter as the guiding stars!

Introduction

Higgs sector is the least known part in SM Dark matter is required by cosmological

bservations!

Invisible Higgs boson (Öç❶❞â❢) Higgs boson and/or dark matter as the guiding stars!

➪➴✉, Shou-hua Zhu ITP, Peking University Guiding stars for physics beyond SM: Higgs boson and dark matter

SLIDE 16

Introduction Invisible SM-like Higgs boson due to X(214) and analysis fault Correlation between masses of SM-like Higgs boson and (singlet) scalar dark matter Higgs boson as the looking glass in mirror model Conclusion and discussion Higgs sector is the least known part in SM Dark matter is required by cosmological observations! Invisible Higgs boson (Öç❶❞â❢) Higgs boson and/or dark matter as the guiding stars! 1

Not found yet.

2

Direct limit 114 GeV from LEP at CERN.

Q: What is direct limit? A: Limit from experiments in which Higgs boson is supposed to be produced directly.

3

Indirect information from quantum fluctuations and screening theorem: precision observables are only sensitive to log(mH) for leading quantum fluctuation effects.

Q: What is indirect limit? A: Limit from experiments in which Higgs boson can✳t be produced directly, namely shows up only as virtual states.

➪➴✉, Shou-hua Zhu ITP, Peking University Guiding stars for physics beyond SM: Higgs boson and dark matter

SLIDE 17

Introduction Invisible SM-like Higgs boson due to X(214) and analysis fault Correlation between masses of SM-like Higgs boson and (singlet) scalar dark matter Higgs boson as the looking glass in mirror model Conclusion and discussion Higgs sector is the least known part in SM Dark matter is required by cosmological observations! Invisible Higgs boson (Öç❶❞â❢) Higgs boson and/or dark matter as the guiding stars! 1

Not found yet.

2

Direct limit 114 GeV from LEP at CERN.

Q: What is direct limit? A: Limit from experiments in which Higgs boson is supposed to be produced directly.

3

Indirect information from quantum fluctuations and screening theorem: precision observables are only sensitive to log(mH) for leading quantum fluctuation effects.

Q: What is indirect limit? A: Limit from experiments in which Higgs boson can✳t be produced directly, namely shows up only as virtual states.

➪➴✉, Shou-hua Zhu ITP, Peking University Guiding stars for physics beyond SM: Higgs boson and dark matter

SLIDE 18

Introduction Invisible SM-like Higgs boson due to X(214) and analysis fault Correlation between masses of SM-like Higgs boson and (singlet) scalar dark matter Higgs boson as the looking glass in mirror model Conclusion and discussion Higgs sector is the least known part in SM Dark matter is required by cosmological observations! Invisible Higgs boson (Öç❶❞â❢) Higgs boson and/or dark matter as the guiding stars! 1

Not found yet.

2

Direct limit 114 GeV from LEP at CERN.

Q: What is direct limit? A: Limit from experiments in which Higgs boson is supposed to be produced directly.

3

Indirect information from quantum fluctuations and screening theorem: precision observables are only sensitive to log(mH) for leading quantum fluctuation effects.

Q: What is indirect limit? A: Limit from experiments in which Higgs boson can✳t be produced directly, namely shows up only as virtual states.

➪➴✉, Shou-hua Zhu ITP, Peking University Guiding stars for physics beyond SM: Higgs boson and dark matter

SLIDE 19

Introduction Invisible SM-like Higgs boson due to X(214) and analysis fault Correlation between masses of SM-like Higgs boson and (singlet) scalar dark matter Higgs boson as the looking glass in mirror model Conclusion and discussion Higgs sector is the least known part in SM Dark matter is required by cosmological observations! Invisible Higgs boson (Öç❶❞â❢) Higgs boson and/or dark matter as the guiding stars! 1

Not found yet.

2

Direct limit 114 GeV from LEP at CERN.

Q: What is direct limit? A: Limit from experiments in which Higgs boson is supposed to be produced directly.

3

Indirect information from quantum fluctuations and screening theorem: precision observables are only sensitive to log(mH) for leading quantum fluctuation effects.

Q: What is indirect limit? A: Limit from experiments in which Higgs boson can✳t be produced directly, namely shows up only as virtual states.

➪➴✉, Shou-hua Zhu ITP, Peking University Guiding stars for physics beyond SM: Higgs boson and dark matter

SLIDE 20

Introduction Invisible SM-like Higgs boson due to X(214) and analysis fault Correlation between masses of SM-like Higgs boson and (singlet) scalar dark matter Higgs boson as the looking glass in mirror model Conclusion and discussion Higgs sector is the least known part in SM Dark matter is required by cosmological observations! Invisible Higgs boson (Öç❶❞â❢) Higgs boson and/or dark matter as the guiding stars! 1

Not found yet.

2

Direct limit 114 GeV from LEP at CERN.

Q: What is direct limit? A: Limit from experiments in which Higgs boson is supposed to be produced directly.

3

Indirect information from quantum fluctuations and screening theorem: precision observables are only sensitive to log(mH) for leading quantum fluctuation effects.

Q: What is indirect limit? A: Limit from experiments in which Higgs boson can✳t be produced directly, namely shows up only as virtual states.

➪➴✉, Shou-hua Zhu ITP, Peking University Guiding stars for physics beyond SM: Higgs boson and dark matter

SLIDE 21

Introduction Invisible SM-like Higgs boson due to X(214) and analysis fault Correlation between masses of SM-like Higgs boson and (singlet) scalar dark matter Higgs boson as the looking glass in mirror model Conclusion and discussion Higgs sector is the least known part in SM Dark matter is required by cosmological observations! Invisible Higgs boson (Öç❶❞â❢) Higgs boson and/or dark matter as the guiding stars! 1

Not found yet.

2

Direct limit 114 GeV from LEP at CERN.

Q: What is direct limit? A: Limit from experiments in which Higgs boson is supposed to be produced directly.

3

Indirect information from quantum fluctuations and screening theorem: precision observables are only sensitive to log(mH) for leading quantum fluctuation effects.

Q: What is indirect limit? A: Limit from experiments in which Higgs boson can✳t be produced directly, namely shows up only as virtual states.

➪➴✉, Shou-hua Zhu ITP, Peking University Guiding stars for physics beyond SM: Higgs boson and dark matter

SLIDE 22

Introduction Invisible SM-like Higgs boson due to X(214) and analysis fault Correlation between masses of SM-like Higgs boson and (singlet) scalar dark matter Higgs boson as the looking glass in mirror model Conclusion and discussion Higgs sector is the least known part in SM Dark matter is required by cosmological observations! Invisible Higgs boson (Öç❶❞â❢) Higgs boson and/or dark matter as the guiding stars!

Consistent of direct and indirect limits?

➪➴✉, Shou-hua Zhu ITP, Peking University Guiding stars for physics beyond SM: Higgs boson and dark matter

SLIDE 23

Introduction Invisible SM-like Higgs boson due to X(214) and analysis fault Correlation between masses of SM-like Higgs boson and (singlet) scalar dark matter Higgs boson as the looking glass in mirror model Conclusion and discussion Higgs sector is the least known part in SM Dark matter is required by cosmological observations! Invisible Higgs boson (Öç❶❞â❢) Higgs boson and/or dark matter as the guiding stars!

Introduction

Higgs sector is the least known part in SM Dark matter is required by cosmological

bservations!

Invisible Higgs boson (Öç❶❞â❢) Higgs boson and/or dark matter as the guiding stars!

➪➴✉, Shou-hua Zhu ITP, Peking University Guiding stars for physics beyond SM: Higgs boson and dark matter

SLIDE 24

Introduction Invisible SM-like Higgs boson due to X(214) and analysis fault Correlation between masses of SM-like Higgs boson and (singlet) scalar dark matter Higgs boson as the looking glass in mirror model Conclusion and discussion Higgs sector is the least known part in SM Dark matter is required by cosmological observations! Invisible Higgs boson (Öç❶❞â❢) Higgs boson and/or dark matter as the guiding stars!

Q: Is dark matter relevant to weak scale physics? A: Likely because the relic density of dark matter can be naturally correlated with weak coupling alpha and weak scale 100 GeV. Q: If yes, where to insert dark matter sector? A: Most likely in Higgs sector because success

f standard model of particle physics permits

naturally the additional sector in Higgs part.

➪➴✉, Shou-hua Zhu ITP, Peking University Guiding stars for physics beyond SM: Higgs boson and dark matter

SLIDE 25

Introduction Invisible SM-like Higgs boson due to X(214) and analysis fault Correlation between masses of SM-like Higgs boson and (singlet) scalar dark matter Higgs boson as the looking glass in mirror model Conclusion and discussion Higgs sector is the least known part in SM Dark matter is required by cosmological observations! Invisible Higgs boson (Öç❶❞â❢) Higgs boson and/or dark matter as the guiding stars!

Q: Is dark matter relevant to weak scale physics? A: Likely because the relic density of dark matter can be naturally correlated with weak coupling alpha and weak scale 100 GeV. Q: If yes, where to insert dark matter sector? A: Most likely in Higgs sector because success

f standard model of particle physics permits

naturally the additional sector in Higgs part.

➪➴✉, Shou-hua Zhu ITP, Peking University Guiding stars for physics beyond SM: Higgs boson and dark matter

SLIDE 26

Introduction Invisible SM-like Higgs boson due to X(214) and analysis fault Correlation between masses of SM-like Higgs boson and (singlet) scalar dark matter Higgs boson as the looking glass in mirror model Conclusion and discussion Higgs sector is the least known part in SM Dark matter is required by cosmological observations! Invisible Higgs boson (Öç❶❞â❢) Higgs boson and/or dark matter as the guiding stars!

Q: Is dark matter relevant to weak scale physics? A: Likely because the relic density of dark matter can be naturally correlated with weak coupling alpha and weak scale 100 GeV. Q: If yes, where to insert dark matter sector? A: Most likely in Higgs sector because success

f standard model of particle physics permits

naturally the additional sector in Higgs part.

➪➴✉, Shou-hua Zhu ITP, Peking University Guiding stars for physics beyond SM: Higgs boson and dark matter

SLIDE 27

Introduction Invisible SM-like Higgs boson due to X(214) and analysis fault Correlation between masses of SM-like Higgs boson and (singlet) scalar dark matter Higgs boson as the looking glass in mirror model Conclusion and discussion Higgs sector is the least known part in SM Dark matter is required by cosmological observations! Invisible Higgs boson (Öç❶❞â❢) Higgs boson and/or dark matter as the guiding stars!

Q: Is dark matter relevant to weak scale physics? A: Likely because the relic density of dark matter can be naturally correlated with weak coupling alpha and weak scale 100 GeV. Q: If yes, where to insert dark matter sector? A: Most likely in Higgs sector because success

f standard model of particle physics permits

naturally the additional sector in Higgs part.

➪➴✉, Shou-hua Zhu ITP, Peking University Guiding stars for physics beyond SM: Higgs boson and dark matter

SLIDE 28

Introduction Invisible SM-like Higgs boson due to X(214) and analysis fault Correlation between masses of SM-like Higgs boson and (singlet) scalar dark matter Higgs boson as the looking glass in mirror model Conclusion and discussion Higgs sector is the least known part in SM Dark matter is required by cosmological observations! Invisible Higgs boson (Öç❶❞â❢) Higgs boson and/or dark matter as the guiding stars!

Introduction

Higgs sector is the least known part in SM Dark matter is required by cosmological

bservations!

Invisible Higgs boson (Öç❶❞â❢) Higgs boson and/or dark matter as the guiding stars!

➪➴✉, Shou-hua Zhu ITP, Peking University Guiding stars for physics beyond SM: Higgs boson and dark matter

SLIDE 29

Introduction Invisible SM-like Higgs boson due to X(214) and analysis fault Correlation between masses of SM-like Higgs boson and (singlet) scalar dark matter Higgs boson as the looking glass in mirror model Conclusion and discussion Higgs sector is the least known part in SM Dark matter is required by cosmological observations! Invisible Higgs boson (Öç❶❞â❢) Higgs boson and/or dark matter as the guiding stars!

Higgs boson may not be observed (invisible) in the modern detectors at colliders! What is the meaning of ’invisible decay’? For modern detectors, some particles which do not interact with the detector will appear as invisible signal, for example neutrino in the SM. Cold dark matter, which interacts only weakly with usual matter in detector, appears as invisible signals. Higgs boson, which are produced at colliders, may decay mainly into dark matter. Thus Higgs boson appears as invisible particle also.

➪➴✉, Shou-hua Zhu ITP, Peking University Guiding stars for physics beyond SM: Higgs boson and dark matter

SLIDE 30

Introduction Invisible SM-like Higgs boson due to X(214) and analysis fault Correlation between masses of SM-like Higgs boson and (singlet) scalar dark matter Higgs boson as the looking glass in mirror model Conclusion and discussion Higgs sector is the least known part in SM Dark matter is required by cosmological observations! Invisible Higgs boson (Öç❶❞â❢) Higgs boson and/or dark matter as the guiding stars!

Higgs boson may not be observed (invisible) in the modern detectors at colliders! What is the meaning of ’invisible decay’? For modern detectors, some particles which do not interact with the detector will appear as invisible signal, for example neutrino in the SM. Cold dark matter, which interacts only weakly with usual matter in detector, appears as invisible signals. Higgs boson, which are produced at colliders, may decay mainly into dark matter. Thus Higgs boson appears as invisible particle also.

➪➴✉, Shou-hua Zhu ITP, Peking University Guiding stars for physics beyond SM: Higgs boson and dark matter

SLIDE 31

Introduction Invisible SM-like Higgs boson due to X(214) and analysis fault Correlation between masses of SM-like Higgs boson and (singlet) scalar dark matter Higgs boson as the looking glass in mirror model Conclusion and discussion Higgs sector is the least known part in SM Dark matter is required by cosmological observations! Invisible Higgs boson (Öç❶❞â❢) Higgs boson and/or dark matter as the guiding stars!

Higgs boson may not be observed (invisible) in the modern detectors at colliders! What is the meaning of ’invisible decay’? For modern detectors, some particles which do not interact with the detector will appear as invisible signal, for example neutrino in the SM. Cold dark matter, which interacts only weakly with usual matter in detector, appears as invisible signals. Higgs boson, which are produced at colliders, may decay mainly into dark matter. Thus Higgs boson appears as invisible particle also.

➪➴✉, Shou-hua Zhu ITP, Peking University Guiding stars for physics beyond SM: Higgs boson and dark matter

SLIDE 32

Introduction Invisible SM-like Higgs boson due to X(214) and analysis fault Correlation between masses of SM-like Higgs boson and (singlet) scalar dark matter Higgs boson as the looking glass in mirror model Conclusion and discussion Higgs sector is the least known part in SM Dark matter is required by cosmological observations! Invisible Higgs boson (Öç❶❞â❢) Higgs boson and/or dark matter as the guiding stars!

Higgs boson may not be observed (invisible) in the modern detectors at colliders! What is the meaning of ’invisible decay’? For modern detectors, some particles which do not interact with the detector will appear as invisible signal, for example neutrino in the SM. Cold dark matter, which interacts only weakly with usual matter in detector, appears as invisible signals. Higgs boson, which are produced at colliders, may decay mainly into dark matter. Thus Higgs boson appears as invisible particle also.

➪➴✉, Shou-hua Zhu ITP, Peking University Guiding stars for physics beyond SM: Higgs boson and dark matter

SLIDE 33

Introduction Invisible SM-like Higgs boson due to X(214) and analysis fault Correlation between masses of SM-like Higgs boson and (singlet) scalar dark matter Higgs boson as the looking glass in mirror model Conclusion and discussion Higgs sector is the least known part in SM Dark matter is required by cosmological observations! Invisible Higgs boson (Öç❶❞â❢) Higgs boson and/or dark matter as the guiding stars!

Higgs boson may not be observed (invisible) in the modern detectors at colliders! What is the meaning of ’invisible decay’? For modern detectors, some particles which do not interact with the detector will appear as invisible signal, for example neutrino in the SM. Cold dark matter, which interacts only weakly with usual matter in detector, appears as invisible signals. Higgs boson, which are produced at colliders, may decay mainly into dark matter. Thus Higgs boson appears as invisible particle also.

➪➴✉, Shou-hua Zhu ITP, Peking University Guiding stars for physics beyond SM: Higgs boson and dark matter

SLIDE 34

Introduction Invisible SM-like Higgs boson due to X(214) and analysis fault Correlation between masses of SM-like Higgs boson and (singlet) scalar dark matter Higgs boson as the looking glass in mirror model Conclusion and discussion Higgs sector is the least known part in SM Dark matter is required by cosmological observations! Invisible Higgs boson (Öç❶❞â❢) Higgs boson and/or dark matter as the guiding stars!

Besides dark matter, the Higgs boson can be invisible due to other reasons (see next part)!

➪➴✉, Shou-hua Zhu ITP, Peking University Guiding stars for physics beyond SM: Higgs boson and dark matter

SLIDE 35

Introduction Invisible SM-like Higgs boson due to X(214) and analysis fault Correlation between masses of SM-like Higgs boson and (singlet) scalar dark matter Higgs boson as the looking glass in mirror model Conclusion and discussion Higgs sector is the least known part in SM Dark matter is required by cosmological observations! Invisible Higgs boson (Öç❶❞â❢) Higgs boson and/or dark matter as the guiding stars!

Introduction

Higgs sector is the least known part in SM Dark matter is required by cosmological

bservations!

Invisible Higgs boson (Öç❶❞â❢) Higgs boson and/or dark matter as the guiding stars!

➪➴✉, Shou-hua Zhu ITP, Peking University Guiding stars for physics beyond SM: Higgs boson and dark matter

SLIDE 36

Introduction Invisible SM-like Higgs boson due to X(214) and analysis fault Correlation between masses of SM-like Higgs boson and (singlet) scalar dark matter Higgs boson as the looking glass in mirror model Conclusion and discussion Higgs sector is the least known part in SM Dark matter is required by cosmological observations! Invisible Higgs boson (Öç❶❞â❢) Higgs boson and/or dark matter as the guiding stars!

The investigation on Higgs boson and/or dark matter can provide crucial information for deepening

ur understanding of the nature!

➪➴✉, Shou-hua Zhu ITP, Peking University Guiding stars for physics beyond SM: Higgs boson and dark matter

SLIDE 37

Introduction Invisible SM-like Higgs boson due to X(214) and analysis fault Correlation between masses of SM-like Higgs boson and (singlet) scalar dark matter Higgs boson as the looking glass in mirror model Conclusion and discussion ’SM-like’ Higgs boson HyperCP three events A new pseudoscalar X(214 MeV)? All about X(214) Consequences on Higgs physics

Invisible SM-like Higgs boson due to X(214) and analysis fault

’SM-like’ Higgs boson HyperCP three events A new pseudoscalar X(214 MeV)? All about X(214) Consequences on Higgs physics

➪➴✉, Shou-hua Zhu ITP, Peking University Guiding stars for physics beyond SM: Higgs boson and dark matter

SLIDE 38

Introduction Invisible SM-like Higgs boson due to X(214) and analysis fault Correlation between masses of SM-like Higgs boson and (singlet) scalar dark matter Higgs boson as the looking glass in mirror model Conclusion and discussion ’SM-like’ Higgs boson HyperCP three events A new pseudoscalar X(214 MeV)? All about X(214) Consequences on Higgs physics

Invisible SM-like Higgs boson due to X(214) and analysis fault

’SM-like’ Higgs boson HyperCP three events A new pseudoscalar X(214 MeV)? All about X(214) Consequences on Higgs physics

➪➴✉, Shou-hua Zhu ITP, Peking University Guiding stars for physics beyond SM: Higgs boson and dark matter

SLIDE 39

Introduction Invisible SM-like Higgs boson due to X(214) and analysis fault Correlation between masses of SM-like Higgs boson and (singlet) scalar dark matter Higgs boson as the looking glass in mirror model Conclusion and discussion ’SM-like’ Higgs boson HyperCP three events A new pseudoscalar X(214 MeV)? All about X(214) Consequences on Higgs physics

What is the ’SM-like’ Higgs boson? A: We name the Higgs boson as ’SM-like’ in case that one of the Higgs bosons in physics beyond the SM (for example MSSM) acts like the Higgs boson in the SM. Why ’SM-like’ Higgs boson? Because the SM is extremely success, the existence of one ’SM-like’ Higgs boson is the simplest way to coincide the data. Other crazy scenarios are, of course, allowed!

➪➴✉, Shou-hua Zhu ITP, Peking University Guiding stars for physics beyond SM: Higgs boson and dark matter

SLIDE 40

Introduction Invisible SM-like Higgs boson due to X(214) and analysis fault Correlation between masses of SM-like Higgs boson and (singlet) scalar dark matter Higgs boson as the looking glass in mirror model Conclusion and discussion ’SM-like’ Higgs boson HyperCP three events A new pseudoscalar X(214 MeV)? All about X(214) Consequences on Higgs physics

What is the ’SM-like’ Higgs boson? A: We name the Higgs boson as ’SM-like’ in case that one of the Higgs bosons in physics beyond the SM (for example MSSM) acts like the Higgs boson in the SM. Why ’SM-like’ Higgs boson? Because the SM is extremely success, the existence of one ’SM-like’ Higgs boson is the simplest way to coincide the data. Other crazy scenarios are, of course, allowed!

➪➴✉, Shou-hua Zhu ITP, Peking University Guiding stars for physics beyond SM: Higgs boson and dark matter

SLIDE 41

Introduction Invisible SM-like Higgs boson due to X(214) and analysis fault Correlation between masses of SM-like Higgs boson and (singlet) scalar dark matter Higgs boson as the looking glass in mirror model Conclusion and discussion ’SM-like’ Higgs boson HyperCP three events A new pseudoscalar X(214 MeV)? All about X(214) Consequences on Higgs physics

What is the ’SM-like’ Higgs boson? A: We name the Higgs boson as ’SM-like’ in case that one of the Higgs bosons in physics beyond the SM (for example MSSM) acts like the Higgs boson in the SM. Why ’SM-like’ Higgs boson? Because the SM is extremely success, the existence of one ’SM-like’ Higgs boson is the simplest way to coincide the data. Other crazy scenarios are, of course, allowed!

➪➴✉, Shou-hua Zhu ITP, Peking University Guiding stars for physics beyond SM: Higgs boson and dark matter

SLIDE 42

Introduction Invisible SM-like Higgs boson due to X(214) and analysis fault Correlation between masses of SM-like Higgs boson and (singlet) scalar dark matter Higgs boson as the looking glass in mirror model Conclusion and discussion ’SM-like’ Higgs boson HyperCP three events A new pseudoscalar X(214 MeV)? All about X(214) Consequences on Higgs physics

What is the ’SM-like’ Higgs boson? A: We name the Higgs boson as ’SM-like’ in case that one of the Higgs bosons in physics beyond the SM (for example MSSM) acts like the Higgs boson in the SM. Why ’SM-like’ Higgs boson? Because the SM is extremely success, the existence of one ’SM-like’ Higgs boson is the simplest way to coincide the data. Other crazy scenarios are, of course, allowed!

➪➴✉, Shou-hua Zhu ITP, Peking University Guiding stars for physics beyond SM: Higgs boson and dark matter

SLIDE 43

Introduction Invisible SM-like Higgs boson due to X(214) and analysis fault Correlation between masses of SM-like Higgs boson and (singlet) scalar dark matter Higgs boson as the looking glass in mirror model Conclusion and discussion ’SM-like’ Higgs boson HyperCP three events A new pseudoscalar X(214 MeV)? All about X(214) Consequences on Higgs physics

What is the ’SM-like’ Higgs boson? A: We name the Higgs boson as ’SM-like’ in case that one of the Higgs bosons in physics beyond the SM (for example MSSM) acts like the Higgs boson in the SM. Why ’SM-like’ Higgs boson? Because the SM is extremely success, the existence of one ’SM-like’ Higgs boson is the simplest way to coincide the data. Other crazy scenarios are, of course, allowed!

➪➴✉, Shou-hua Zhu ITP, Peking University Guiding stars for physics beyond SM: Higgs boson and dark matter

SLIDE 44

Introduction Invisible SM-like Higgs boson due to X(214) and analysis fault Correlation between masses of SM-like Higgs boson and (singlet) scalar dark matter Higgs boson as the looking glass in mirror model Conclusion and discussion ’SM-like’ Higgs boson HyperCP three events A new pseudoscalar X(214 MeV)? All about X(214) Consequences on Higgs physics

Invisible SM-like Higgs boson due to X(214) and analysis fault

’SM-like’ Higgs boson HyperCP three events A new pseudoscalar X(214 MeV)? All about X(214) Consequences on Higgs physics

➪➴✉, Shou-hua Zhu ITP, Peking University Guiding stars for physics beyond SM: Higgs boson and dark matter

SLIDE 45

Introduction Invisible SM-like Higgs boson due to X(214) and analysis fault Correlation between masses of SM-like Higgs boson and (singlet) scalar dark matter Higgs boson as the looking glass in mirror model Conclusion and discussion ’SM-like’ Higgs boson HyperCP three events A new pseudoscalar X(214 MeV)? All about X(214) Consequences on Higgs physics ➪➴✉, Shou-hua Zhu ITP, Peking University Guiding stars for physics beyond SM: Higgs boson and dark matter

SLIDE 46

Introduction Invisible SM-like Higgs boson due to X(214) and analysis fault Correlation between masses of SM-like Higgs boson and (singlet) scalar dark matter Higgs boson as the looking glass in mirror model Conclusion and discussion ’SM-like’ Higgs boson HyperCP three events A new pseudoscalar X(214 MeV)? All about X(214) Consequences on Higgs physics ➪➴✉, Shou-hua Zhu ITP, Peking University Guiding stars for physics beyond SM: Higgs boson and dark matter

SLIDE 47

Introduction Invisible SM-like Higgs boson due to X(214) and analysis fault Correlation between masses of SM-like Higgs boson and (singlet) scalar dark matter Higgs boson as the looking glass in mirror model Conclusion and discussion ’SM-like’ Higgs boson HyperCP three events A new pseudoscalar X(214 MeV)? All about X(214) Consequences on Higgs physics

Invisible SM-like Higgs boson due to X(214) and analysis fault

’SM-like’ Higgs boson HyperCP three events A new pseudoscalar X(214 MeV)? All about X(214) Consequences on Higgs physics

➪➴✉, Shou-hua Zhu ITP, Peking University Guiding stars for physics beyond SM: Higgs boson and dark matter

SLIDE 48

Introduction Invisible SM-like Higgs boson due to X(214) and analysis fault Correlation between masses of SM-like Higgs boson and (singlet) scalar dark matter Higgs boson as the looking glass in mirror model Conclusion and discussion ’SM-like’ Higgs boson HyperCP three events A new pseudoscalar X(214 MeV)? All about X(214) Consequences on Higgs physics

X. G. He, J. Tandean and G. Valencia, Phys.
Rev. D 72, 074003 (2005)

[arXiv:hep-ph/0506067].

X. G. He, J. Tandean and G. Valencia, Phys.
Lett. B 631, 100 (2005)

[arXiv:hep-ph/0509041].

N. G. Deshpande, G. Eilam and J. Jiang, Phys.
Lett. B 632, 212 (2006)

[arXiv:hep-ph/0509081].

➪➴✉, Shou-hua Zhu ITP, Peking University Guiding stars for physics beyond SM: Higgs boson and dark matter

SLIDE 49

Introduction Invisible SM-like Higgs boson due to X(214) and analysis fault Correlation between masses of SM-like Higgs boson and (singlet) scalar dark matter Higgs boson as the looking glass in mirror model Conclusion and discussion ’SM-like’ Higgs boson HyperCP three events A new pseudoscalar X(214 MeV)? All about X(214) Consequences on Higgs physics

C. Q. Geng and Y. K. Hsiao, Phys. Lett. B

632, 215 (2006) [arXiv:hep-ph/0509175].

D. S. Gorbunov and V. A. Rubakov, Phys. Rev.

D 73, 035002 (2006) [arXiv:hep-ph/0509147].

S. V. Demidov and D. S. Gorbunov, JETP
Lett. 84, 479 (2007) [arXiv:hep-ph/0610066].
X. G. He, J. Tandean and G. Valencia, Phys.
Rev. D 74, 115015 (2006)

[arXiv:hep-ph/0610274].

➪➴✉, Shou-hua Zhu ITP, Peking University Guiding stars for physics beyond SM: Higgs boson and dark matter

SLIDE 50

Introduction Invisible SM-like Higgs boson due to X(214) and analysis fault Correlation between masses of SM-like Higgs boson and (singlet) scalar dark matter Higgs boson as the looking glass in mirror model Conclusion and discussion ’SM-like’ Higgs boson HyperCP three events A new pseudoscalar X(214 MeV)? All about X(214) Consequences on Higgs physics

X. G. He, J. Tandean and G. Valencia, Phys.
Rev. Lett. 98, 081802 (2007)

[arXiv:hep-ph/0610362].

G. Hiller, Phys. Rev. D 70, 034018 (2004)

[arXiv:hep-ph/0404220].

C. H. Chen and C. Q. Geng, Phys. Lett. B

645, 189 (2007) [arXiv:hep-ph/0612142].

G. Xiangdong, C. S. Li, Z. Li and H. Zhang,

arXiv:0712.0257 [hep-ph].

➪➴✉, Shou-hua Zhu ITP, Peking University Guiding stars for physics beyond SM: Higgs boson and dark matter

SLIDE 51

Introduction Invisible SM-like Higgs boson due to X(214) and analysis fault Correlation between masses of SM-like Higgs boson and (singlet) scalar dark matter Higgs boson as the looking glass in mirror model Conclusion and discussion ’SM-like’ Higgs boson HyperCP three events A new pseudoscalar X(214 MeV)? All about X(214) Consequences on Higgs physics

X(214) is not Scalar Vector However X(214) can be pseudoscalar or axial vector!

➪➴✉, Shou-hua Zhu ITP, Peking University Guiding stars for physics beyond SM: Higgs boson and dark matter

SLIDE 52

Introduction Invisible SM-like Higgs boson due to X(214) and analysis fault Correlation between masses of SM-like Higgs boson and (singlet) scalar dark matter Higgs boson as the looking glass in mirror model Conclusion and discussion ’SM-like’ Higgs boson HyperCP three events A new pseudoscalar X(214 MeV)? All about X(214) Consequences on Higgs physics

X(214) is not Scalar Vector However X(214) can be pseudoscalar or axial vector!

➪➴✉, Shou-hua Zhu ITP, Peking University Guiding stars for physics beyond SM: Higgs boson and dark matter

SLIDE 53

Introduction Invisible SM-like Higgs boson due to X(214) and analysis fault Correlation between masses of SM-like Higgs boson and (singlet) scalar dark matter Higgs boson as the looking glass in mirror model Conclusion and discussion ’SM-like’ Higgs boson HyperCP three events A new pseudoscalar X(214 MeV)? All about X(214) Consequences on Higgs physics

Invisible SM-like Higgs boson due to X(214) and analysis fault

’SM-like’ Higgs boson HyperCP three events A new pseudoscalar X(214 MeV)? All about X(214) Consequences on Higgs physics

➪➴✉, Shou-hua Zhu ITP, Peking University Guiding stars for physics beyond SM: Higgs boson and dark matter

SLIDE 54

Introduction Invisible SM-like Higgs boson due to X(214) and analysis fault Correlation between masses of SM-like Higgs boson and (singlet) scalar dark matter Higgs boson as the looking glass in mirror model Conclusion and discussion ’SM-like’ Higgs boson HyperCP three events A new pseudoscalar X(214 MeV)? All about X(214) Consequences on Higgs physics

mX = 214.3 ± 0.5 MeV Dominantly decays into µ+µ−, not photons ∆m ≡ mX − 2mµ ≈ 3 MeV Likely neglected for past experiments, LEP, Tevatron etc. Reasons...

➪➴✉, Shou-hua Zhu ITP, Peking University Guiding stars for physics beyond SM: Higgs boson and dark matter

SLIDE 55

Introduction Invisible SM-like Higgs boson due to X(214) and analysis fault Correlation between masses of SM-like Higgs boson and (singlet) scalar dark matter Higgs boson as the looking glass in mirror model Conclusion and discussion ’SM-like’ Higgs boson HyperCP three events A new pseudoscalar X(214 MeV)? All about X(214) Consequences on Higgs physics ➪➴✉, Shou-hua Zhu ITP, Peking University Guiding stars for physics beyond SM: Higgs boson and dark matter

SLIDE 56

Introduction Invisible SM-like Higgs boson due to X(214) and analysis fault Correlation between masses of SM-like Higgs boson and (singlet) scalar dark matter Higgs boson as the looking glass in mirror model Conclusion and discussion ’SM-like’ Higgs boson HyperCP three events A new pseudoscalar X(214 MeV)? All about X(214) Consequences on Higgs physics ➪➴✉, Shou-hua Zhu ITP, Peking University Guiding stars for physics beyond SM: Higgs boson and dark matter

SLIDE 57

Introduction Invisible SM-like Higgs boson due to X(214) and analysis fault Correlation between masses of SM-like Higgs boson and (singlet) scalar dark matter Higgs boson as the looking glass in mirror model Conclusion and discussion ’SM-like’ Higgs boson HyperCP three events A new pseudoscalar X(214 MeV)? All about X(214) Consequences on Higgs physics ➪➴✉, Shou-hua Zhu ITP, Peking University Guiding stars for physics beyond SM: Higgs boson and dark matter

SLIDE 58

Introduction Invisible SM-like Higgs boson due to X(214) and analysis fault Correlation between masses of SM-like Higgs boson and (singlet) scalar dark matter Higgs boson as the looking glass in mirror model Conclusion and discussion ’SM-like’ Higgs boson HyperCP three events A new pseudoscalar X(214 MeV)? All about X(214) Consequences on Higgs physics ➪➴✉, Shou-hua Zhu ITP, Peking University Guiding stars for physics beyond SM: Higgs boson and dark matter

SLIDE 59

Introduction Invisible SM-like Higgs boson due to X(214) and analysis fault Correlation between masses of SM-like Higgs boson and (singlet) scalar dark matter Higgs boson as the looking glass in mirror model Conclusion and discussion ’SM-like’ Higgs boson HyperCP three events A new pseudoscalar X(214 MeV)? All about X(214) Consequences on Higgs physics

∆R ≡

(∆η)2 + (∆φ)2 approaches 0 due to

the tiny ∆m ≡ mX − 2mµ At ATLAS, ∆R > 0.01 is applied in order to suppress fake muon and separate different tracks! Similar at other detectors! X will be missing due to analysis method! Fortunately X(214) can be identified at modern detectors, like CMS at LHC, due to the strong magnetic field.

➪➴✉, Shou-hua Zhu ITP, Peking University Guiding stars for physics beyond SM: Higgs boson and dark matter

SLIDE 60

Introduction Invisible SM-like Higgs boson due to X(214) and analysis fault Correlation between masses of SM-like Higgs boson and (singlet) scalar dark matter Higgs boson as the looking glass in mirror model Conclusion and discussion ’SM-like’ Higgs boson HyperCP three events A new pseudoscalar X(214 MeV)? All about X(214) Consequences on Higgs physics

∆R ≡

(∆η)2 + (∆φ)2 approaches 0 due to

the tiny ∆m ≡ mX − 2mµ At ATLAS, ∆R > 0.01 is applied in order to suppress fake muon and separate different tracks! Similar at other detectors! X will be missing due to analysis method! Fortunately X(214) can be identified at modern detectors, like CMS at LHC, due to the strong magnetic field.

➪➴✉, Shou-hua Zhu ITP, Peking University Guiding stars for physics beyond SM: Higgs boson and dark matter

SLIDE 61

Introduction Invisible SM-like Higgs boson due to X(214) and analysis fault Correlation between masses of SM-like Higgs boson and (singlet) scalar dark matter Higgs boson as the looking glass in mirror model Conclusion and discussion ’SM-like’ Higgs boson HyperCP three events A new pseudoscalar X(214 MeV)? All about X(214) Consequences on Higgs physics

∆R ≡

(∆η)2 + (∆φ)2 approaches 0 due to

the tiny ∆m ≡ mX − 2mµ At ATLAS, ∆R > 0.01 is applied in order to suppress fake muon and separate different tracks! Similar at other detectors! X will be missing due to analysis method! Fortunately X(214) can be identified at modern detectors, like CMS at LHC, due to the strong magnetic field.

➪➴✉, Shou-hua Zhu ITP, Peking University Guiding stars for physics beyond SM: Higgs boson and dark matter

SLIDE 62

Introduction Invisible SM-like Higgs boson due to X(214) and analysis fault Correlation between masses of SM-like Higgs boson and (singlet) scalar dark matter Higgs boson as the looking glass in mirror model Conclusion and discussion ’SM-like’ Higgs boson HyperCP three events A new pseudoscalar X(214 MeV)? All about X(214) Consequences on Higgs physics

∆R ≡

(∆η)2 + (∆φ)2 approaches 0 due to

the tiny ∆m ≡ mX − 2mµ At ATLAS, ∆R > 0.01 is applied in order to suppress fake muon and separate different tracks! Similar at other detectors! X will be missing due to analysis method! Fortunately X(214) can be identified at modern detectors, like CMS at LHC, due to the strong magnetic field.

➪➴✉, Shou-hua Zhu ITP, Peking University Guiding stars for physics beyond SM: Higgs boson and dark matter

SLIDE 63

Introduction Invisible SM-like Higgs boson due to X(214) and analysis fault Correlation between masses of SM-like Higgs boson and (singlet) scalar dark matter Higgs boson as the looking glass in mirror model Conclusion and discussion ’SM-like’ Higgs boson HyperCP three events A new pseudoscalar X(214 MeV)? All about X(214) Consequences on Higgs physics

∆R ≡

(∆η)2 + (∆φ)2 approaches 0 due to

the tiny ∆m ≡ mX − 2mµ At ATLAS, ∆R > 0.01 is applied in order to suppress fake muon and separate different tracks! Similar at other detectors! X will be missing due to analysis method! Fortunately X(214) can be identified at modern detectors, like CMS at LHC, due to the strong magnetic field.

➪➴✉, Shou-hua Zhu ITP, Peking University Guiding stars for physics beyond SM: Higgs boson and dark matter

SLIDE 64

Introduction Invisible SM-like Higgs boson due to X(214) and analysis fault Correlation between masses of SM-like Higgs boson and (singlet) scalar dark matter Higgs boson as the looking glass in mirror model Conclusion and discussion ’SM-like’ Higgs boson HyperCP three events A new pseudoscalar X(214 MeV)? All about X(214) Consequences on Higgs physics

Event (X → µ+µ−) view at CMS detector by Z.C. Yang of Peking University!

➪➴✉, Shou-hua Zhu ITP, Peking University Guiding stars for physics beyond SM: Higgs boson and dark matter

SLIDE 65

Introduction Invisible SM-like Higgs boson due to X(214) and analysis fault Correlation between masses of SM-like Higgs boson and (singlet) scalar dark matter Higgs boson as the looking glass in mirror model Conclusion and discussion ’SM-like’ Higgs boson HyperCP three events A new pseudoscalar X(214 MeV)? All about X(214) Consequences on Higgs physics ➪➴✉, Shou-hua Zhu ITP, Peking University Guiding stars for physics beyond SM: Higgs boson and dark matter

SLIDE 66

Introduction Invisible SM-like Higgs boson due to X(214) and analysis fault Correlation between masses of SM-like Higgs boson and (singlet) scalar dark matter Higgs boson as the looking glass in mirror model Conclusion and discussion ’SM-like’ Higgs boson HyperCP three events A new pseudoscalar X(214 MeV)? All about X(214) Consequences on Higgs physics

Invisible SM-like Higgs boson due to X(214) and analysis fault

’SM-like’ Higgs boson HyperCP three events A new pseudoscalar X(214 MeV)? All about X(214) Consequences on Higgs physics

➪➴✉, Shou-hua Zhu ITP, Peking University Guiding stars for physics beyond SM: Higgs boson and dark matter

SLIDE 67

Introduction Invisible SM-like Higgs boson due to X(214) and analysis fault Correlation between masses of SM-like Higgs boson and (singlet) scalar dark matter Higgs boson as the looking glass in mirror model Conclusion and discussion ’SM-like’ Higgs boson HyperCP three events A new pseudoscalar X(214 MeV)? All about X(214) Consequences on Higgs physics

SM-like Higgs boson may decay dominantly into a pair of X(214)

➪➴✉, Shou-hua Zhu ITP, Peking University Guiding stars for physics beyond SM: Higgs boson and dark matter

SLIDE 68

Introduction Invisible SM-like Higgs boson due to X(214) and analysis fault Correlation between masses of SM-like Higgs boson and (singlet) scalar dark matter Higgs boson as the looking glass in mirror model Conclusion and discussion ’SM-like’ Higgs boson HyperCP three events A new pseudoscalar X(214 MeV)? All about X(214) Consequences on Higgs physics

SM-like Higgs boson h will be missing because X is missing, provided that h decays dominantly into X pair. Direct limit 114 GeV should be altered, likely shift to lower than 100 GeV, as indicated by indirect limit! LEP/Tevatron data need to be re-analyzed! LHC may adjust its searching strategies for Higgs boson!

➪➴✉, Shou-hua Zhu ITP, Peking University Guiding stars for physics beyond SM: Higgs boson and dark matter

SLIDE 69

Introduction Invisible SM-like Higgs boson due to X(214) and analysis fault Correlation between masses of SM-like Higgs boson and (singlet) scalar dark matter Higgs boson as the looking glass in mirror model Conclusion and discussion ’SM-like’ Higgs boson HyperCP three events A new pseudoscalar X(214 MeV)? All about X(214) Consequences on Higgs physics

SM-like Higgs boson h will be missing because X is missing, provided that h decays dominantly into X pair. Direct limit 114 GeV should be altered, likely shift to lower than 100 GeV, as indicated by indirect limit! LEP/Tevatron data need to be re-analyzed! LHC may adjust its searching strategies for Higgs boson!

➪➴✉, Shou-hua Zhu ITP, Peking University Guiding stars for physics beyond SM: Higgs boson and dark matter

SLIDE 70

Introduction Invisible SM-like Higgs boson due to X(214) and analysis fault Correlation between masses of SM-like Higgs boson and (singlet) scalar dark matter Higgs boson as the looking glass in mirror model Conclusion and discussion ’SM-like’ Higgs boson HyperCP three events A new pseudoscalar X(214 MeV)? All about X(214) Consequences on Higgs physics

SM-like Higgs boson h will be missing because X is missing, provided that h decays dominantly into X pair. Direct limit 114 GeV should be altered, likely shift to lower than 100 GeV, as indicated by indirect limit! LEP/Tevatron data need to be re-analyzed! LHC may adjust its searching strategies for Higgs boson!

➪➴✉, Shou-hua Zhu ITP, Peking University Guiding stars for physics beyond SM: Higgs boson and dark matter

SLIDE 71

Introduction Invisible SM-like Higgs boson due to X(214) and analysis fault Correlation between masses of SM-like Higgs boson and (singlet) scalar dark matter Higgs boson as the looking glass in mirror model Conclusion and discussion ’SM-like’ Higgs boson HyperCP three events A new pseudoscalar X(214 MeV)? All about X(214) Consequences on Higgs physics

SM-like Higgs boson h will be missing because X is missing, provided that h decays dominantly into X pair. Direct limit 114 GeV should be altered, likely shift to lower than 100 GeV, as indicated by indirect limit! LEP/Tevatron data need to be re-analyzed! LHC may adjust its searching strategies for Higgs boson!

➪➴✉, Shou-hua Zhu ITP, Peking University Guiding stars for physics beyond SM: Higgs boson and dark matter

SLIDE 72

Introduction Invisible SM-like Higgs boson due to X(214) and analysis fault Correlation between masses of SM-like Higgs boson and (singlet) scalar dark matter Higgs boson as the looking glass in mirror model Conclusion and discussion What determines the dark matter mass? Singlet scalar as the dark matter: the model Correlation between SM-like Higgs boson and dark matter Invisible SM-like Higgs boson decay Other supports Pause

Correlation between masses of SM-like Higgs boson and (singlet) scalar dark matter

What determines the dark matter mass? Singlet scalar as the dark matter: the model Correlation between SM-like Higgs boson and dark matter Invisible SM-like Higgs boson decay Other supports Pause

➪➴✉, Shou-hua Zhu ITP, Peking University Guiding stars for physics beyond SM: Higgs boson and dark matter

SLIDE 73

Introduction Invisible SM-like Higgs boson due to X(214) and analysis fault Correlation between masses of SM-like Higgs boson and (singlet) scalar dark matter Higgs boson as the looking glass in mirror model Conclusion and discussion What determines the dark matter mass? Singlet scalar as the dark matter: the model Correlation between SM-like Higgs boson and dark matter Invisible SM-like Higgs boson decay Other supports Pause

Correlation between masses of SM-like Higgs boson and (singlet) scalar dark matter

What determines the dark matter mass? Singlet scalar as the dark matter: the model Correlation between SM-like Higgs boson and dark matter Invisible SM-like Higgs boson decay Other supports Pause

➪➴✉, Shou-hua Zhu ITP, Peking University Guiding stars for physics beyond SM: Higgs boson and dark matter

SLIDE 74

Introduction Invisible SM-like Higgs boson due to X(214) and analysis fault Correlation between masses of SM-like Higgs boson and (singlet) scalar dark matter Higgs boson as the looking glass in mirror model Conclusion and discussion What determines the dark matter mass? Singlet scalar as the dark matter: the model Correlation between SM-like Higgs boson and dark matter Invisible SM-like Higgs boson decay Other supports Pause

No one knows! If dark matter is closely related with weak physics, why not the dark matter mass

riginates from electro-weak symmetry

breaking?

➪➴✉, Shou-hua Zhu ITP, Peking University Guiding stars for physics beyond SM: Higgs boson and dark matter

SLIDE 75

Introduction Invisible SM-like Higgs boson due to X(214) and analysis fault Correlation between masses of SM-like Higgs boson and (singlet) scalar dark matter Higgs boson as the looking glass in mirror model Conclusion and discussion What determines the dark matter mass? Singlet scalar as the dark matter: the model Correlation between SM-like Higgs boson and dark matter Invisible SM-like Higgs boson decay Other supports Pause

No one knows! If dark matter is closely related with weak physics, why not the dark matter mass

riginates from electro-weak symmetry

breaking?

➪➴✉, Shou-hua Zhu ITP, Peking University Guiding stars for physics beyond SM: Higgs boson and dark matter

SLIDE 76

Introduction Invisible SM-like Higgs boson due to X(214) and analysis fault Correlation between masses of SM-like Higgs boson and (singlet) scalar dark matter Higgs boson as the looking glass in mirror model Conclusion and discussion What determines the dark matter mass? Singlet scalar as the dark matter: the model Correlation between SM-like Higgs boson and dark matter Invisible SM-like Higgs boson decay Other supports Pause

Correlation between masses of SM-like Higgs boson and (singlet) scalar dark matter

What determines the dark matter mass? Singlet scalar as the dark matter: the model Correlation between SM-like Higgs boson and dark matter Invisible SM-like Higgs boson decay Other supports Pause

➪➴✉, Shou-hua Zhu ITP, Peking University Guiding stars for physics beyond SM: Higgs boson and dark matter

SLIDE 77

Introduction Invisible SM-like Higgs boson due to X(214) and analysis fault Correlation between masses of SM-like Higgs boson and (singlet) scalar dark matter Higgs boson as the looking glass in mirror model Conclusion and discussion What determines the dark matter mass? Singlet scalar as the dark matter: the model Correlation between SM-like Higgs boson and dark matter Invisible SM-like Higgs boson decay Other supports Pause

We require the theory to be renormalizable, thus naturally take the singlet scalar as the dark matter Lagrangian is written as L = LSM + 1 2∂µS∂µS − λS 4 S4 − λS2(Φ+Φ) LSM is the Lagrangian of the SM and Φ is the weak doublet Higgs field. L is obviously invariant under discrete transformation S → −S, which ensures S the good candidate

f cold dark matter.

➪➴✉, Shou-hua Zhu ITP, Peking University Guiding stars for physics beyond SM: Higgs boson and dark matter

SLIDE 78

Introduction Invisible SM-like Higgs boson due to X(214) and analysis fault Correlation between masses of SM-like Higgs boson and (singlet) scalar dark matter Higgs boson as the looking glass in mirror model Conclusion and discussion What determines the dark matter mass? Singlet scalar as the dark matter: the model Correlation between SM-like Higgs boson and dark matter Invisible SM-like Higgs boson decay Other supports Pause

We require the theory to be renormalizable, thus naturally take the singlet scalar as the dark matter Lagrangian is written as L = LSM + 1 2∂µS∂µS − λS 4 S4 − λS2(Φ+Φ) LSM is the Lagrangian of the SM and Φ is the weak doublet Higgs field. L is obviously invariant under discrete transformation S → −S, which ensures S the good candidate

f cold dark matter.

➪➴✉, Shou-hua Zhu ITP, Peking University Guiding stars for physics beyond SM: Higgs boson and dark matter

SLIDE 79

Introduction Invisible SM-like Higgs boson due to X(214) and analysis fault Correlation between masses of SM-like Higgs boson and (singlet) scalar dark matter Higgs boson as the looking glass in mirror model Conclusion and discussion What determines the dark matter mass? Singlet scalar as the dark matter: the model Correlation between SM-like Higgs boson and dark matter Invisible SM-like Higgs boson decay Other supports Pause

We require the theory to be renormalizable, thus naturally take the singlet scalar as the dark matter Lagrangian is written as L = LSM + 1 2∂µS∂µS − λS 4 S4 − λS2(Φ+Φ) LSM is the Lagrangian of the SM and Φ is the weak doublet Higgs field. L is obviously invariant under discrete transformation S → −S, which ensures S the good candidate

f cold dark matter.

➪➴✉, Shou-hua Zhu ITP, Peking University Guiding stars for physics beyond SM: Higgs boson and dark matter

SLIDE 80

Introduction Invisible SM-like Higgs boson due to X(214) and analysis fault Correlation between masses of SM-like Higgs boson and (singlet) scalar dark matter Higgs boson as the looking glass in mirror model Conclusion and discussion What determines the dark matter mass? Singlet scalar as the dark matter: the model Correlation between SM-like Higgs boson and dark matter Invisible SM-like Higgs boson decay Other supports Pause

m2

0S2 is simply omitted, or negligible compared

with the contribution arising from electro-weak symmetry breaking! After electro-weak symmetry breaking < Φ >= v = 246 GeV, the Higgs boson, as in the standard model, m2

h = λhv2

with λh the coefficient of (Φ+Φ)2 and m2

S = λv2.

➪➴✉, Shou-hua Zhu ITP, Peking University Guiding stars for physics beyond SM: Higgs boson and dark matter

SLIDE 81

Introduction Invisible SM-like Higgs boson due to X(214) and analysis fault Correlation between masses of SM-like Higgs boson and (singlet) scalar dark matter Higgs boson as the looking glass in mirror model Conclusion and discussion What determines the dark matter mass? Singlet scalar as the dark matter: the model Correlation between SM-like Higgs boson and dark matter Invisible SM-like Higgs boson decay Other supports Pause

m2

0S2 is simply omitted, or negligible compared

with the contribution arising from electro-weak symmetry breaking! After electro-weak symmetry breaking < Φ >= v = 246 GeV, the Higgs boson, as in the standard model, m2

h = λhv2

with λh the coefficient of (Φ+Φ)2 and m2

S = λv2.

➪➴✉, Shou-hua Zhu ITP, Peking University Guiding stars for physics beyond SM: Higgs boson and dark matter

SLIDE 82

Introduction Invisible SM-like Higgs boson due to X(214) and analysis fault Correlation between masses of SM-like Higgs boson and (singlet) scalar dark matter Higgs boson as the looking glass in mirror model Conclusion and discussion What determines the dark matter mass? Singlet scalar as the dark matter: the model Correlation between SM-like Higgs boson and dark matter Invisible SM-like Higgs boson decay Other supports Pause

It is obvious that coupling λ is determined by mS and in this model λ is the only extra free parameter relevant to our discussion, besides those in the SM. How to determine λ, namely dark matter mass mS?

➪➴✉, Shou-hua Zhu ITP, Peking University Guiding stars for physics beyond SM: Higgs boson and dark matter

SLIDE 83

Introduction Invisible SM-like Higgs boson due to X(214) and analysis fault Correlation between masses of SM-like Higgs boson and (singlet) scalar dark matter Higgs boson as the looking glass in mirror model Conclusion and discussion What determines the dark matter mass? Singlet scalar as the dark matter: the model Correlation between SM-like Higgs boson and dark matter Invisible SM-like Higgs boson decay Other supports Pause

It is obvious that coupling λ is determined by mS and in this model λ is the only extra free parameter relevant to our discussion, besides those in the SM. How to determine λ, namely dark matter mass mS?

➪➴✉, Shou-hua Zhu ITP, Peking University Guiding stars for physics beyond SM: Higgs boson and dark matter

SLIDE 84

Introduction Invisible SM-like Higgs boson due to X(214) and analysis fault Correlation between masses of SM-like Higgs boson and (singlet) scalar dark matter Higgs boson as the looking glass in mirror model Conclusion and discussion What determines the dark matter mass? Singlet scalar as the dark matter: the model Correlation between SM-like Higgs boson and dark matter Invisible SM-like Higgs boson decay Other supports Pause

Correlation between masses of SM-like Higgs boson and (singlet) scalar dark matter

What determines the dark matter mass? Singlet scalar as the dark matter: the model Correlation between SM-like Higgs boson and dark matter Invisible SM-like Higgs boson decay Other supports Pause

➪➴✉, Shou-hua Zhu ITP, Peking University Guiding stars for physics beyond SM: Higgs boson and dark matter

SLIDE 85

Introduction Invisible SM-like Higgs boson due to X(214) and analysis fault Correlation between masses of SM-like Higgs boson and (singlet) scalar dark matter Higgs boson as the looking glass in mirror model Conclusion and discussion What determines the dark matter mass? Singlet scalar as the dark matter: the model Correlation between SM-like Higgs boson and dark matter Invisible SM-like Higgs boson decay Other supports Pause

Schematic Feynman diagram for SS → SM

particles. Here f and V represent SM fermions and

weak gauge bosons respectively.

➪➴✉, Shou-hua Zhu ITP, Peking University Guiding stars for physics beyond SM: Higgs boson and dark matter

SLIDE 86

Introduction Invisible SM-like Higgs boson due to X(214) and analysis fault Correlation between masses of SM-like Higgs boson and (singlet) scalar dark matter Higgs boson as the looking glass in mirror model Conclusion and discussion What determines the dark matter mass? Singlet scalar as the dark matter: the model Correlation between SM-like Higgs boson and dark matter Invisible SM-like Higgs boson decay Other supports Pause

The current relic density of S can be written as

(C. P. Burgess, M. Pospelov and T. ter Veldhuis, Nucl. Phys. B 619, 709 (2001))

ΩSh2 = (1.07 × 109)xf √g∗Mpl[in GeV] < σvrel >, where g∗ counts the degrees of freedom in equilibrium at annihilation, xf is the inverse freeze-out temperature in units of mS, which can be obtained by solving the equation xf ≃ ln 0.038MplmS < σvrel > √g∗xf

.

➪➴✉, Shou-hua Zhu ITP, Peking University Guiding stars for physics beyond SM: Higgs boson and dark matter

SLIDE 87

Introduction Invisible SM-like Higgs boson due to X(214) and analysis fault Correlation between masses of SM-like Higgs boson and (singlet) scalar dark matter Higgs boson as the looking glass in mirror model Conclusion and discussion What determines the dark matter mass? Singlet scalar as the dark matter: the model Correlation between SM-like Higgs boson and dark matter Invisible SM-like Higgs boson decay Other supports Pause

Here vrel is the relative velocity of the two incoming dark matter particles, Mpl is the Planck mass and < ... > denotes the relevant thermal average. σvrel is σannvrel = 8λ2v2 (4m2

S − m2 h)2 + m2 hΓ2 h

FX = 8m4

S

v2 [(4m2

S − m2 h)2 + m2 hΓ2 h] FX

(1)

➪➴✉, Shou-hua Zhu ITP, Peking University Guiding stars for physics beyond SM: Higgs boson and dark matter

SLIDE 88

Introduction Invisible SM-like Higgs boson due to X(214) and analysis fault Correlation between masses of SM-like Higgs boson and (singlet) scalar dark matter Higgs boson as the looking glass in mirror model Conclusion and discussion What determines the dark matter mass? Singlet scalar as the dark matter: the model Correlation between SM-like Higgs boson and dark matter Invisible SM-like Higgs boson decay Other supports Pause

Here vrel is the relative velocity of the two incoming dark matter particles, Mpl is the Planck mass and < ... > denotes the relevant thermal average. σvrel is σannvrel = 8λ2v2 (4m2

S − m2 h)2 + m2 hΓ2 h

FX = 8m4

S

v2 [(4m2

S − m2 h)2 + m2 hΓ2 h] FX

(1)

➪➴✉, Shou-hua Zhu ITP, Peking University Guiding stars for physics beyond SM: Higgs boson and dark matter

SLIDE 89

Introduction Invisible SM-like Higgs boson due to X(214) and analysis fault Correlation between masses of SM-like Higgs boson and (singlet) scalar dark matter Higgs boson as the looking glass in mirror model Conclusion and discussion What determines the dark matter mass? Singlet scalar as the dark matter: the model Correlation between SM-like Higgs boson and dark matter Invisible SM-like Higgs boson decay Other supports Pause

Here FX = lim

m˜

h→2mS

Γ˜

h→X

m˜

h

.

(2) Γh is the Higgs total decay width and Γ˜

h→X

denotes the partial decay width for the virtual ˜ h decay into X, ˜ h → X, in the limit m˜

h → 2mS. Here X represents SM particles.

Relic density (within 3σ uncertainty) 0.093 < Ωdmh2 < 0.129 where h ≈ 0.71 is the normalized Hubble expansion rate.

➪➴✉, Shou-hua Zhu ITP, Peking University Guiding stars for physics beyond SM: Higgs boson and dark matter

SLIDE 90

Introduction Invisible SM-like Higgs boson due to X(214) and analysis fault Correlation between masses of SM-like Higgs boson and (singlet) scalar dark matter Higgs boson as the looking glass in mirror model Conclusion and discussion What determines the dark matter mass? Singlet scalar as the dark matter: the model Correlation between SM-like Higgs boson and dark matter Invisible SM-like Higgs boson decay Other supports Pause

Here FX = lim

m˜

h→2mS

Γ˜

h→X

m˜

h

.

(2) Γh is the Higgs total decay width and Γ˜

h→X

denotes the partial decay width for the virtual ˜ h decay into X, ˜ h → X, in the limit m˜

h → 2mS. Here X represents SM particles.

Relic density (within 3σ uncertainty) 0.093 < Ωdmh2 < 0.129 where h ≈ 0.71 is the normalized Hubble expansion rate.

➪➴✉, Shou-hua Zhu ITP, Peking University Guiding stars for physics beyond SM: Higgs boson and dark matter

SLIDE 91

Introduction Invisible SM-like Higgs boson due to X(214) and analysis fault Correlation between masses of SM-like Higgs boson and (singlet) scalar dark matter Higgs boson as the looking glass in mirror model Conclusion and discussion What determines the dark matter mass? Singlet scalar as the dark matter: the model Correlation between SM-like Higgs boson and dark matter Invisible SM-like Higgs boson decay Other supports Pause

Here FX = lim

m˜

h→2mS

Γ˜

h→X

m˜

h

.

(2) Γh is the Higgs total decay width and Γ˜

h→X

denotes the partial decay width for the virtual ˜ h decay into X, ˜ h → X, in the limit m˜

h → 2mS. Here X represents SM particles.

Relic density (within 3σ uncertainty) 0.093 < Ωdmh2 < 0.129 where h ≈ 0.71 is the normalized Hubble expansion rate.

➪➴✉, Shou-hua Zhu ITP, Peking University Guiding stars for physics beyond SM: Higgs boson and dark matter

SLIDE 92

Introduction Invisible SM-like Higgs boson due to X(214) and analysis fault Correlation between masses of SM-like Higgs boson and (singlet) scalar dark matter Higgs boson as the looking glass in mirror model Conclusion and discussion What determines the dark matter mass? Singlet scalar as the dark matter: the model Correlation between SM-like Higgs boson and dark matter Invisible SM-like Higgs boson decay Other supports Pause ➪➴✉, Shou-hua Zhu ITP, Peking University Guiding stars for physics beyond SM: Higgs boson and dark matter

SLIDE 93

Introduction Invisible SM-like Higgs boson due to X(214) and analysis fault Correlation between masses of SM-like Higgs boson and (singlet) scalar dark matter Higgs boson as the looking glass in mirror model Conclusion and discussion What determines the dark matter mass? Singlet scalar as the dark matter: the model Correlation between SM-like Higgs boson and dark matter Invisible SM-like Higgs boson decay Other supports Pause

mS [GeV] mh upper limit [GeV] mh lower limit [GeV] 50 122 119 55 134 131 60 148 144 65 162 158 70 180 174 75 204 197 80 275 261

Table: Upper and lower limits on Higgs boson for several mS in order to obtain the correct relic abundance.

➪➴✉, Shou-hua Zhu ITP, Peking University Guiding stars for physics beyond SM: Higgs boson and dark matter

SLIDE 94

Introduction Invisible SM-like Higgs boson due to X(214) and analysis fault Correlation between masses of SM-like Higgs boson and (singlet) scalar dark matter Higgs boson as the looking glass in mirror model Conclusion and discussion What determines the dark matter mass? Singlet scalar as the dark matter: the model Correlation between SM-like Higgs boson and dark matter Invisible SM-like Higgs boson decay Other supports Pause

Correlation between masses of SM-like Higgs boson and (singlet) scalar dark matter

What determines the dark matter mass? Singlet scalar as the dark matter: the model Correlation between SM-like Higgs boson and dark matter Invisible SM-like Higgs boson decay Other supports Pause

➪➴✉, Shou-hua Zhu ITP, Peking University Guiding stars for physics beyond SM: Higgs boson and dark matter

SLIDE 95

Introduction Invisible SM-like Higgs boson due to X(214) and analysis fault Correlation between masses of SM-like Higgs boson and (singlet) scalar dark matter Higgs boson as the looking glass in mirror model Conclusion and discussion What determines the dark matter mass? Singlet scalar as the dark matter: the model Correlation between SM-like Higgs boson and dark matter Invisible SM-like Higgs boson decay Other supports Pause ➪➴✉, Shou-hua Zhu ITP, Peking University Guiding stars for physics beyond SM: Higgs boson and dark matter

SLIDE 96

Introduction Invisible SM-like Higgs boson due to X(214) and analysis fault Correlation between masses of SM-like Higgs boson and (singlet) scalar dark matter Higgs boson as the looking glass in mirror model Conclusion and discussion What determines the dark matter mass? Singlet scalar as the dark matter: the model Correlation between SM-like Higgs boson and dark matter Invisible SM-like Higgs boson decay Other supports Pause

Correlation between masses of SM-like Higgs boson and (singlet) scalar dark matter

What determines the dark matter mass? Singlet scalar as the dark matter: the model Correlation between SM-like Higgs boson and dark matter Invisible SM-like Higgs boson decay Other supports Pause

➪➴✉, Shou-hua Zhu ITP, Peking University Guiding stars for physics beyond SM: Higgs boson and dark matter

SLIDE 97

Introduction Invisible SM-like Higgs boson due to X(214) and analysis fault Correlation between masses of SM-like Higgs boson and (singlet) scalar dark matter Higgs boson as the looking glass in mirror model Conclusion and discussion What determines the dark matter mass? Singlet scalar as the dark matter: the model Correlation between SM-like Higgs boson and dark matter Invisible SM-like Higgs boson decay Other supports Pause ➪➴✉, Shou-hua Zhu ITP, Peking University Guiding stars for physics beyond SM: Higgs boson and dark matter

SLIDE 98

Introduction Invisible SM-like Higgs boson due to X(214) and analysis fault Correlation between masses of SM-like Higgs boson and (singlet) scalar dark matter Higgs boson as the looking glass in mirror model Conclusion and discussion What determines the dark matter mass? Singlet scalar as the dark matter: the model Correlation between SM-like Higgs boson and dark matter Invisible SM-like Higgs boson decay Other supports Pause ➪➴✉, Shou-hua Zhu ITP, Peking University Guiding stars for physics beyond SM: Higgs boson and dark matter

SLIDE 99

Introduction Invisible SM-like Higgs boson due to X(214) and analysis fault Correlation between masses of SM-like Higgs boson and (singlet) scalar dark matter Higgs boson as the looking glass in mirror model Conclusion and discussion What determines the dark matter mass? Singlet scalar as the dark matter: the model Correlation between SM-like Higgs boson and dark matter Invisible SM-like Higgs boson decay Other supports Pause

Correlation between masses of SM-like Higgs boson and (singlet) scalar dark matter

What determines the dark matter mass? Singlet scalar as the dark matter: the model Correlation between SM-like Higgs boson and dark matter Invisible SM-like Higgs boson decay Other supports Pause

➪➴✉, Shou-hua Zhu ITP, Peking University Guiding stars for physics beyond SM: Higgs boson and dark matter

SLIDE 100

Introduction Invisible SM-like Higgs boson due to X(214) and analysis fault Correlation between masses of SM-like Higgs boson and (singlet) scalar dark matter Higgs boson as the looking glass in mirror model Conclusion and discussion What determines the dark matter mass? Singlet scalar as the dark matter: the model Correlation between SM-like Higgs boson and dark matter Invisible SM-like Higgs boson decay Other supports Pause

Seems everything is perfect: Higgs mass bounds can predict scalar CDM value and EGRET prefers the same mass region. The Higgs boson is light and may decay dominantly into ( ∼ 60 GeV)DM. Detecting invisible Higgs boson at LHC and ILC!

➪➴✉, Shou-hua Zhu ITP, Peking University Guiding stars for physics beyond SM: Higgs boson and dark matter

SLIDE 101

Introduction Invisible SM-like Higgs boson due to X(214) and analysis fault Correlation between masses of SM-like Higgs boson and (singlet) scalar dark matter Higgs boson as the looking glass in mirror model Conclusion and discussion What determines the dark matter mass? Singlet scalar as the dark matter: the model Correlation between SM-like Higgs boson and dark matter Invisible SM-like Higgs boson decay Other supports Pause

Seems everything is perfect: Higgs mass bounds can predict scalar CDM value and EGRET prefers the same mass region. The Higgs boson is light and may decay dominantly into ( ∼ 60 GeV)DM. Detecting invisible Higgs boson at LHC and ILC!

➪➴✉, Shou-hua Zhu ITP, Peking University Guiding stars for physics beyond SM: Higgs boson and dark matter

SLIDE 102

Introduction Invisible SM-like Higgs boson due to X(214) and analysis fault Correlation between masses of SM-like Higgs boson and (singlet) scalar dark matter Higgs boson as the looking glass in mirror model Conclusion and discussion What determines the dark matter mass? Singlet scalar as the dark matter: the model Correlation between SM-like Higgs boson and dark matter Invisible SM-like Higgs boson decay Other supports Pause

Seems everything is perfect: Higgs mass bounds can predict scalar CDM value and EGRET prefers the same mass region. The Higgs boson is light and may decay dominantly into ( ∼ 60 GeV)DM. Detecting invisible Higgs boson at LHC and ILC!

➪➴✉, Shou-hua Zhu ITP, Peking University Guiding stars for physics beyond SM: Higgs boson and dark matter

SLIDE 103

Introduction Invisible SM-like Higgs boson due to X(214) and analysis fault Correlation between masses of SM-like Higgs boson and (singlet) scalar dark matter Higgs boson as the looking glass in mirror model Conclusion and discussion Broken parity Parity restoration: two approaches Communication with mirror world: three ways Minimal mirror model Two kinds of vacua Higgs phenomenology for symmetric vacuum Detecting H → hh signal

Higgs boson as the looking glass in mirror model

Broken parity Parity restoration: two approaches Communication with mirror world: three ways Minimal mirror model Two kinds of vacua Higgs phenomenology for symmetric vacuum Detecting H → hh signal

➪➴✉, Shou-hua Zhu ITP, Peking University Guiding stars for physics beyond SM: Higgs boson and dark matter

SLIDE 104

Introduction Invisible SM-like Higgs boson due to X(214) and analysis fault Correlation between masses of SM-like Higgs boson and (singlet) scalar dark matter Higgs boson as the looking glass in mirror model Conclusion and discussion Broken parity Parity restoration: two approaches Communication with mirror world: three ways Minimal mirror model Two kinds of vacua Higgs phenomenology for symmetric vacuum Detecting H → hh signal

Higgs boson as the looking glass in mirror model

Broken parity Parity restoration: two approaches Communication with mirror world: three ways Minimal mirror model Two kinds of vacua Higgs phenomenology for symmetric vacuum Detecting H → hh signal

➪➴✉, Shou-hua Zhu ITP, Peking University Guiding stars for physics beyond SM: Higgs boson and dark matter

SLIDE 105

Introduction Invisible SM-like Higgs boson due to X(214) and analysis fault Correlation between masses of SM-like Higgs boson and (singlet) scalar dark matter Higgs boson as the looking glass in mirror model Conclusion and discussion Broken parity Parity restoration: two approaches Communication with mirror world: three ways Minimal mirror model Two kinds of vacua Higgs phenomenology for symmetric vacuum Detecting H → hh signal

For the pioneering work on parity-broken, T.D. Lee and C.N. Yang got Nobel Prize in 1957! Basis for the SM construction: left-handed fermions feel SU(2) gauge interaction, while right-handed ones do not. Why is parity not conserved solely for weak interaction?

➪➴✉, Shou-hua Zhu ITP, Peking University Guiding stars for physics beyond SM: Higgs boson and dark matter

SLIDE 106

Introduction Invisible SM-like Higgs boson due to X(214) and analysis fault Correlation between masses of SM-like Higgs boson and (singlet) scalar dark matter Higgs boson as the looking glass in mirror model Conclusion and discussion Broken parity Parity restoration: two approaches Communication with mirror world: three ways Minimal mirror model Two kinds of vacua Higgs phenomenology for symmetric vacuum Detecting H → hh signal

For the pioneering work on parity-broken, T.D. Lee and C.N. Yang got Nobel Prize in 1957! Basis for the SM construction: left-handed fermions feel SU(2) gauge interaction, while right-handed ones do not. Why is parity not conserved solely for weak interaction?

➪➴✉, Shou-hua Zhu ITP, Peking University Guiding stars for physics beyond SM: Higgs boson and dark matter

SLIDE 107

Introduction Invisible SM-like Higgs boson due to X(214) and analysis fault Correlation between masses of SM-like Higgs boson and (singlet) scalar dark matter Higgs boson as the looking glass in mirror model Conclusion and discussion Broken parity Parity restoration: two approaches Communication with mirror world: three ways Minimal mirror model Two kinds of vacua Higgs phenomenology for symmetric vacuum Detecting H → hh signal

For the pioneering work on parity-broken, T.D. Lee and C.N. Yang got Nobel Prize in 1957! Basis for the SM construction: left-handed fermions feel SU(2) gauge interaction, while right-handed ones do not. Why is parity not conserved solely for weak interaction?

➪➴✉, Shou-hua Zhu ITP, Peking University Guiding stars for physics beyond SM: Higgs boson and dark matter

SLIDE 108

Introduction Invisible SM-like Higgs boson due to X(214) and analysis fault Correlation between masses of SM-like Higgs boson and (singlet) scalar dark matter Higgs boson as the looking glass in mirror model Conclusion and discussion Broken parity Parity restoration: two approaches Communication with mirror world: three ways Minimal mirror model Two kinds of vacua Higgs phenomenology for symmetric vacuum Detecting H → hh signal

Higgs boson as the looking glass in mirror model

Broken parity Parity restoration: two approaches Communication with mirror world: three ways Minimal mirror model Two kinds of vacua Higgs phenomenology for symmetric vacuum Detecting H → hh signal

➪➴✉, Shou-hua Zhu ITP, Peking University Guiding stars for physics beyond SM: Higgs boson and dark matter

SLIDE 109

Introduction Invisible SM-like Higgs boson due to X(214) and analysis fault Correlation between masses of SM-like Higgs boson and (singlet) scalar dark matter Higgs boson as the looking glass in mirror model Conclusion and discussion Broken parity Parity restoration: two approaches Communication with mirror world: three ways Minimal mirror model Two kinds of vacua Higgs phenomenology for symmetric vacuum Detecting H → hh signal

L-R models (For a review to see, R. Mohapatra, ’Unification and Supersymmtry’) Parity is restored at energy scale higher than weak interaction (represented by mW ∼ 100 GeV) Predict generically WR and ZR which are non-singlet fields for right-handed usual SM fermions. Gauge structure other than the SM one has not been experimentally established. On the contrary, WR has been pushed up to 1.6TeV or higher in minimal L-R model. LHC can detect O(5 TeV) ZR.

➪➴✉, Shou-hua Zhu ITP, Peking University Guiding stars for physics beyond SM: Higgs boson and dark matter

SLIDE 110

Introduction Invisible SM-like Higgs boson due to X(214) and analysis fault Correlation between masses of SM-like Higgs boson and (singlet) scalar dark matter Higgs boson as the looking glass in mirror model Conclusion and discussion Broken parity Parity restoration: two approaches Communication with mirror world: three ways Minimal mirror model Two kinds of vacua Higgs phenomenology for symmetric vacuum Detecting H → hh signal

L-R models (For a review to see, R. Mohapatra, ’Unification and Supersymmtry’) Parity is restored at energy scale higher than weak interaction (represented by mW ∼ 100 GeV) Predict generically WR and ZR which are non-singlet fields for right-handed usual SM fermions. Gauge structure other than the SM one has not been experimentally established. On the contrary, WR has been pushed up to 1.6TeV or higher in minimal L-R model. LHC can detect O(5 TeV) ZR.

➪➴✉, Shou-hua Zhu ITP, Peking University Guiding stars for physics beyond SM: Higgs boson and dark matter

SLIDE 111

Introduction Invisible SM-like Higgs boson due to X(214) and analysis fault Correlation between masses of SM-like Higgs boson and (singlet) scalar dark matter Higgs boson as the looking glass in mirror model Conclusion and discussion Broken parity Parity restoration: two approaches Communication with mirror world: three ways Minimal mirror model Two kinds of vacua Higgs phenomenology for symmetric vacuum Detecting H → hh signal

L-R models (For a review to see, R. Mohapatra, ’Unification and Supersymmtry’) Parity is restored at energy scale higher than weak interaction (represented by mW ∼ 100 GeV) Predict generically WR and ZR which are non-singlet fields for right-handed usual SM fermions. Gauge structure other than the SM one has not been experimentally established. On the contrary, WR has been pushed up to 1.6TeV or higher in minimal L-R model. LHC can detect O(5 TeV) ZR.

➪➴✉, Shou-hua Zhu ITP, Peking University Guiding stars for physics beyond SM: Higgs boson and dark matter

SLIDE 112

Introduction Invisible SM-like Higgs boson due to X(214) and analysis fault Correlation between masses of SM-like Higgs boson and (singlet) scalar dark matter Higgs boson as the looking glass in mirror model Conclusion and discussion Broken parity Parity restoration: two approaches Communication with mirror world: three ways Minimal mirror model Two kinds of vacua Higgs phenomenology for symmetric vacuum Detecting H → hh signal

L-R models (For a review to see, R. Mohapatra, ’Unification and Supersymmtry’) Parity is restored at energy scale higher than weak interaction (represented by mW ∼ 100 GeV) Predict generically WR and ZR which are non-singlet fields for right-handed usual SM fermions. Gauge structure other than the SM one has not been experimentally established. On the contrary, WR has been pushed up to 1.6TeV or higher in minimal L-R model. LHC can detect O(5 TeV) ZR.

➪➴✉, Shou-hua Zhu ITP, Peking University Guiding stars for physics beyond SM: Higgs boson and dark matter

SLIDE 113

Introduction Invisible SM-like Higgs boson due to X(214) and analysis fault Correlation between masses of SM-like Higgs boson and (singlet) scalar dark matter Higgs boson as the looking glass in mirror model Conclusion and discussion Broken parity Parity restoration: two approaches Communication with mirror world: three ways Minimal mirror model Two kinds of vacua Higgs phenomenology for symmetric vacuum Detecting H → hh signal

Mirror models (For a review to see, L.B. Okun, hep-ph/0606202 ) Parity is restored in a general sense, as

riginated in Lee-Yang✳s 1956 paper

Current experiments disfavor the case that mirror particles are non-singlet under SM gauge group. Singlet mirror particles = dark matter particles?

➪➴✉, Shou-hua Zhu ITP, Peking University Guiding stars for physics beyond SM: Higgs boson and dark matter

SLIDE 114

Introduction Invisible SM-like Higgs boson due to X(214) and analysis fault Correlation between masses of SM-like Higgs boson and (singlet) scalar dark matter Higgs boson as the looking glass in mirror model Conclusion and discussion Broken parity Parity restoration: two approaches Communication with mirror world: three ways Minimal mirror model Two kinds of vacua Higgs phenomenology for symmetric vacuum Detecting H → hh signal

Mirror models (For a review to see, L.B. Okun, hep-ph/0606202 ) Parity is restored in a general sense, as

riginated in Lee-Yang✳s 1956 paper

Current experiments disfavor the case that mirror particles are non-singlet under SM gauge group. Singlet mirror particles = dark matter particles?

➪➴✉, Shou-hua Zhu ITP, Peking University Guiding stars for physics beyond SM: Higgs boson and dark matter

SLIDE 115

Introduction Invisible SM-like Higgs boson due to X(214) and analysis fault Correlation between masses of SM-like Higgs boson and (singlet) scalar dark matter Higgs boson as the looking glass in mirror model Conclusion and discussion Broken parity Parity restoration: two approaches Communication with mirror world: three ways Minimal mirror model Two kinds of vacua Higgs phenomenology for symmetric vacuum Detecting H → hh signal

Mirror models (For a review to see, L.B. Okun, hep-ph/0606202 ) Parity is restored in a general sense, as

riginated in Lee-Yang✳s 1956 paper

Current experiments disfavor the case that mirror particles are non-singlet under SM gauge group. Singlet mirror particles = dark matter particles?

➪➴✉, Shou-hua Zhu ITP, Peking University Guiding stars for physics beyond SM: Higgs boson and dark matter

SLIDE 116

Introduction Invisible SM-like Higgs boson due to X(214) and analysis fault Correlation between masses of SM-like Higgs boson and (singlet) scalar dark matter Higgs boson as the looking glass in mirror model Conclusion and discussion Broken parity Parity restoration: two approaches Communication with mirror world: three ways Minimal mirror model Two kinds of vacua Higgs phenomenology for symmetric vacuum Detecting H → hh signal

Okun said: ✴Mirsy (mirror symmetry) cannot compete with SUSY in the depth of its concept and

mathematics. But I believe it can compete in the

breadth and diversity of its phenomenological

predictions. Certainly, mirror matter is richer than

the dark matter of SUSY✵

➪➴✉, Shou-hua Zhu ITP, Peking University Guiding stars for physics beyond SM: Higgs boson and dark matter

SLIDE 117

Introduction Invisible SM-like Higgs boson due to X(214) and analysis fault Correlation between masses of SM-like Higgs boson and (singlet) scalar dark matter Higgs boson as the looking glass in mirror model Conclusion and discussion Broken parity Parity restoration: two approaches Communication with mirror world: three ways Minimal mirror model Two kinds of vacua Higgs phenomenology for symmetric vacuum Detecting H → hh signal

Higgs boson as the looking glass in mirror model

Broken parity Parity restoration: two approaches Communication with mirror world: three ways Minimal mirror model Two kinds of vacua Higgs phenomenology for symmetric vacuum Detecting H → hh signal

➪➴✉, Shou-hua Zhu ITP, Peking University Guiding stars for physics beyond SM: Higgs boson and dark matter

SLIDE 118

Introduction Invisible SM-like Higgs boson due to X(214) and analysis fault Correlation between masses of SM-like Higgs boson and (singlet) scalar dark matter Higgs boson as the looking glass in mirror model Conclusion and discussion Broken parity Parity restoration: two approaches Communication with mirror world: three ways Minimal mirror model Two kinds of vacua Higgs phenomenology for symmetric vacuum Detecting H → hh signal ➪➴✉, Shou-hua Zhu ITP, Peking University Guiding stars for physics beyond SM: Higgs boson and dark matter

SLIDE 119

Introduction Invisible SM-like Higgs boson due to X(214) and analysis fault Correlation between masses of SM-like Higgs boson and (singlet) scalar dark matter Higgs boson as the looking glass in mirror model Conclusion and discussion Broken parity Parity restoration: two approaches Communication with mirror world: three ways Minimal mirror model Two kinds of vacua Higgs phenomenology for symmetric vacuum Detecting H → hh signal ➪➴✉, Shou-hua Zhu ITP, Peking University Guiding stars for physics beyond SM: Higgs boson and dark matter

SLIDE 120

Introduction Invisible SM-like Higgs boson due to X(214) and analysis fault Correlation between masses of SM-like Higgs boson and (singlet) scalar dark matter Higgs boson as the looking glass in mirror model Conclusion and discussion Broken parity Parity restoration: two approaches Communication with mirror world: three ways Minimal mirror model Two kinds of vacua Higgs phenomenology for symmetric vacuum Detecting H → hh signal ➪➴✉, Shou-hua Zhu ITP, Peking University Guiding stars for physics beyond SM: Higgs boson and dark matter

SLIDE 121

Introduction Invisible SM-like Higgs boson due to X(214) and analysis fault Correlation between masses of SM-like Higgs boson and (singlet) scalar dark matter Higgs boson as the looking glass in mirror model Conclusion and discussion Broken parity Parity restoration: two approaches Communication with mirror world: three ways Minimal mirror model Two kinds of vacua Higgs phenomenology for symmetric vacuum Detecting H → hh signal

Higgs boson as the looking glass in mirror model

Broken parity Parity restoration: two approaches Communication with mirror world: three ways Minimal mirror model Two kinds of vacua Higgs phenomenology for symmetric vacuum Detecting H → hh signal

➪➴✉, Shou-hua Zhu ITP, Peking University Guiding stars for physics beyond SM: Higgs boson and dark matter

SLIDE 122

Introduction Invisible SM-like Higgs boson due to X(214) and analysis fault Correlation between masses of SM-like Higgs boson and (singlet) scalar dark matter Higgs boson as the looking glass in mirror model Conclusion and discussion Broken parity Parity restoration: two approaches Communication with mirror world: three ways Minimal mirror model Two kinds of vacua Higgs phenomenology for symmetric vacuum Detecting H → hh signal ➪➴✉, Shou-hua Zhu ITP, Peking University Guiding stars for physics beyond SM: Higgs boson and dark matter

SLIDE 123

Introduction Invisible SM-like Higgs boson due to X(214) and analysis fault Correlation between masses of SM-like Higgs boson and (singlet) scalar dark matter Higgs boson as the looking glass in mirror model Conclusion and discussion Broken parity Parity restoration: two approaches Communication with mirror world: three ways Minimal mirror model Two kinds of vacua Higgs phenomenology for symmetric vacuum Detecting H → hh signal

The minimal gauge group of the new mirror model is GSM ⊗ G′ = SU(3) ⊗ SU(2) ⊗ U(1) ⊗ SU(3)′ ⊗ SU(2)′ ⊗ U(1)′. The gauge quantum numbers under GSM ⊗ G′ for the usual and mirror fermion fields are

➪➴✉, Shou-hua Zhu ITP, Peking University Guiding stars for physics beyond SM: Higgs boson and dark matter

SLIDE 124

Introduction Invisible SM-like Higgs boson due to X(214) and analysis fault Correlation between masses of SM-like Higgs boson and (singlet) scalar dark matter Higgs boson as the looking glass in mirror model Conclusion and discussion Broken parity Parity restoration: two approaches Communication with mirror world: three ways Minimal mirror model Two kinds of vacua Higgs phenomenology for symmetric vacuum Detecting H → hh signal

The minimal gauge group of the new mirror model is GSM ⊗ G′ = SU(3) ⊗ SU(2) ⊗ U(1) ⊗ SU(3)′ ⊗ SU(2)′ ⊗ U(1)′. The gauge quantum numbers under GSM ⊗ G′ for the usual and mirror fermion fields are

➪➴✉, Shou-hua Zhu ITP, Peking University Guiding stars for physics beyond SM: Higgs boson and dark matter

SLIDE 125

Introduction Invisible SM-like Higgs boson due to X(214) and analysis fault Correlation between masses of SM-like Higgs boson and (singlet) scalar dark matter Higgs boson as the looking glass in mirror model Conclusion and discussion Broken parity Parity restoration: two approaches Communication with mirror world: three ways Minimal mirror model Two kinds of vacua Higgs phenomenology for symmetric vacuum Detecting H → hh signal

Li

L ∼ (1, 2, −1)(1, 1, 0) , (L′ R)i ∼ (1, 1, 0)(1, 2, −1)

ei

R ∼ (1, 1, −2)(1, 1, 0) , (e′ L)i ∼ (1, 1, 0)(1, 1, −2)

Qi

L ∼ (3, 2, 1

3)(1, 1, 0) , (q′

R)i ∼ (1, 1, 0)(3, 2, 1

3) ui

R ∼ (3, 1, 4

3)(1, 1, 0) , (u′

L)i ∼ (1, 1, 0)(3, 1, 4

3) di

R ∼ (3, 1, −2

3)(1, 1, 0) , (d′

L)i ∼ (1, 1, 0)(3, 1, −2

3) with i the family index.

➪➴✉, Shou-hua Zhu ITP, Peking University Guiding stars for physics beyond SM: Higgs boson and dark matter

SLIDE 126

Introduction Invisible SM-like Higgs boson due to X(214) and analysis fault Correlation between masses of SM-like Higgs boson and (singlet) scalar dark matter Higgs boson as the looking glass in mirror model Conclusion and discussion Broken parity Parity restoration: two approaches Communication with mirror world: three ways Minimal mirror model Two kinds of vacua Higgs phenomenology for symmetric vacuum Detecting H → hh signal

The Z2 parity symmetry that we define now is

r ↔ −

r, t ↔ t, Gµ ↔ G′

µ

W µ ↔ W ′

µ, Bµ ↔ B′ µ

LL ↔ L′

R, eR ↔ e′ L, QL ↔ Q′ R,

uR ↔ u′

L, dR ↔ d′ L.

One of the advantages of this model is that there are natural candidates of non-baryonic dark matter in addition to restore parity. Focus on Higgs sector!

➪➴✉, Shou-hua Zhu ITP, Peking University Guiding stars for physics beyond SM: Higgs boson and dark matter

SLIDE 127

Introduction Invisible SM-like Higgs boson due to X(214) and analysis fault Correlation between masses of SM-like Higgs boson and (singlet) scalar dark matter Higgs boson as the looking glass in mirror model Conclusion and discussion Broken parity Parity restoration: two approaches Communication with mirror world: three ways Minimal mirror model Two kinds of vacua Higgs phenomenology for symmetric vacuum Detecting H → hh signal

The Z2 parity symmetry that we define now is

r ↔ −

r, t ↔ t, Gµ ↔ G′

µ

W µ ↔ W ′

µ, Bµ ↔ B′ µ

LL ↔ L′

R, eR ↔ e′ L, QL ↔ Q′ R,

uR ↔ u′

L, dR ↔ d′ L.

One of the advantages of this model is that there are natural candidates of non-baryonic dark matter in addition to restore parity. Focus on Higgs sector!

➪➴✉, Shou-hua Zhu ITP, Peking University Guiding stars for physics beyond SM: Higgs boson and dark matter

SLIDE 128

Introduction Invisible SM-like Higgs boson due to X(214) and analysis fault Correlation between masses of SM-like Higgs boson and (singlet) scalar dark matter Higgs boson as the looking glass in mirror model Conclusion and discussion Broken parity Parity restoration: two approaches Communication with mirror world: three ways Minimal mirror model Two kinds of vacua Higgs phenomenology for symmetric vacuum Detecting H → hh signal

The Z2 parity symmetry that we define now is

r ↔ −

r, t ↔ t, Gµ ↔ G′

µ

W µ ↔ W ′

µ, Bµ ↔ B′ µ

LL ↔ L′

R, eR ↔ e′ L, QL ↔ Q′ R,

uR ↔ u′

L, dR ↔ d′ L.

One of the advantages of this model is that there are natural candidates of non-baryonic dark matter in addition to restore parity. Focus on Higgs sector!

➪➴✉, Shou-hua Zhu ITP, Peking University Guiding stars for physics beyond SM: Higgs boson and dark matter

SLIDE 129

Introduction Invisible SM-like Higgs boson due to X(214) and analysis fault Correlation between masses of SM-like Higgs boson and (singlet) scalar dark matter Higgs boson as the looking glass in mirror model Conclusion and discussion Broken parity Parity restoration: two approaches Communication with mirror world: three ways Minimal mirror model Two kinds of vacua Higgs phenomenology for symmetric vacuum Detecting H → hh signal

Higgs boson as the looking glass in mirror model

Broken parity Parity restoration: two approaches Communication with mirror world: three ways Minimal mirror model Two kinds of vacua Higgs phenomenology for symmetric vacuum Detecting H → hh signal

➪➴✉, Shou-hua Zhu ITP, Peking University Guiding stars for physics beyond SM: Higgs boson and dark matter

SLIDE 130

Introduction Invisible SM-like Higgs boson due to X(214) and analysis fault Correlation between masses of SM-like Higgs boson and (singlet) scalar dark matter Higgs boson as the looking glass in mirror model Conclusion and discussion Broken parity Parity restoration: two approaches Communication with mirror world: three ways Minimal mirror model Two kinds of vacua Higgs phenomenology for symmetric vacuum Detecting H → hh signal

One assumes that the Higgs potential is invariant under the discrete symmetry φ1 → φ2 to keep the parity in a broader sense. The Higgs potential is very simply given by V (φ1, φ2) = −µ2 φ†

1φ1 + φ† 2φ2

+ λ
φ†

1φ1 + φ† 2φ2

2 + ηφ†

1φ1φ† 2φ2.

(3)

➪➴✉, Shou-hua Zhu ITP, Peking University Guiding stars for physics beyond SM: Higgs boson and dark matter

SLIDE 131

Introduction Invisible SM-like Higgs boson due to X(214) and analysis fault Correlation between masses of SM-like Higgs boson and (singlet) scalar dark matter Higgs boson as the looking glass in mirror model Conclusion and discussion Broken parity Parity restoration: two approaches Communication with mirror world: three ways Minimal mirror model Two kinds of vacua Higgs phenomenology for symmetric vacuum Detecting H → hh signal

One assumes that the Higgs potential is invariant under the discrete symmetry φ1 → φ2 to keep the parity in a broader sense. The Higgs potential is very simply given by V (φ1, φ2) = −µ2 φ†

1φ1 + φ† 2φ2

+ λ
φ†

1φ1 + φ† 2φ2

2 + ηφ†

1φ1φ† 2φ2.

(3)

➪➴✉, Shou-hua Zhu ITP, Peking University Guiding stars for physics beyond SM: Higgs boson and dark matter

SLIDE 132

Introduction Invisible SM-like Higgs boson due to X(214) and analysis fault Correlation between masses of SM-like Higgs boson and (singlet) scalar dark matter Higgs boson as the looking glass in mirror model Conclusion and discussion Broken parity Parity restoration: two approaches Communication with mirror world: three ways Minimal mirror model Two kinds of vacua Higgs phenomenology for symmetric vacuum Detecting H → hh signal

After electro-weak symmetry breaking, the Higgs fields can be written as φi =

ϕi

1 √ 2(vi + Hi + χi)

,

(4) where ϕ†

i, χi are Goldstone bosons, which will be

absorbed by corresponding gauge fields.

➪➴✉, Shou-hua Zhu ITP, Peking University Guiding stars for physics beyond SM: Higgs boson and dark matter

SLIDE 133

Introduction Invisible SM-like Higgs boson due to X(214) and analysis fault Correlation between masses of SM-like Higgs boson and (singlet) scalar dark matter Higgs boson as the looking glass in mirror model Conclusion and discussion Broken parity Parity restoration: two approaches Communication with mirror world: three ways Minimal mirror model Two kinds of vacua Higgs phenomenology for symmetric vacuum Detecting H → hh signal

The vacuum may not be invariant under Z2 transformation although the Higgs potential is invariant under this discrete transformation. In fact there are two ways of spontaneous symmetry breaking, depending on the choice of the sign of η

(R. Foot, H. Lew, R. R. Volkas, JHEP 032, 0007 (2000)). ➪➴✉, Shou-hua Zhu ITP, Peking University Guiding stars for physics beyond SM: Higgs boson and dark matter

SLIDE 134

Introduction Invisible SM-like Higgs boson due to X(214) and analysis fault Correlation between masses of SM-like Higgs boson and (singlet) scalar dark matter Higgs boson as the looking glass in mirror model Conclusion and discussion Broken parity Parity restoration: two approaches Communication with mirror world: three ways Minimal mirror model Two kinds of vacua Higgs phenomenology for symmetric vacuum Detecting H → hh signal

η < 0: symmetric vacua: Vacuum is invariant under transformation φ1 ↔ φ2. v2 = v2

1 = v2 2 =

2µ2 4λ + η. (5) Define Higgs boson mass eigenstates as H, h (assume H is heavier than h), H1 = 1 √ 2 (H + h) (6) H2 = 1 √ 2 (H − h). (7)

➪➴✉, Shou-hua Zhu ITP, Peking University Guiding stars for physics beyond SM: Higgs boson and dark matter

SLIDE 135

Introduction Invisible SM-like Higgs boson due to X(214) and analysis fault Correlation between masses of SM-like Higgs boson and (singlet) scalar dark matter Higgs boson as the looking glass in mirror model Conclusion and discussion Broken parity Parity restoration: two approaches Communication with mirror world: three ways Minimal mirror model Two kinds of vacua Higgs phenomenology for symmetric vacuum Detecting H → hh signal

η < 0: symmetric vacua: Vacuum is invariant under transformation φ1 ↔ φ2. v2 = v2

1 = v2 2 =

2µ2 4λ + η. (5) Define Higgs boson mass eigenstates as H, h (assume H is heavier than h), H1 = 1 √ 2 (H + h) (6) H2 = 1 √ 2 (H − h). (7)

➪➴✉, Shou-hua Zhu ITP, Peking University Guiding stars for physics beyond SM: Higgs boson and dark matter

SLIDE 136

Introduction Invisible SM-like Higgs boson due to X(214) and analysis fault Correlation between masses of SM-like Higgs boson and (singlet) scalar dark matter Higgs boson as the looking glass in mirror model Conclusion and discussion Broken parity Parity restoration: two approaches Communication with mirror world: three ways Minimal mirror model Two kinds of vacua Higgs phenomenology for symmetric vacuum Detecting H → hh signal

The Higgs boson mass can be expressed as m2

H = (4λ + η)v2

(8) m2

h = −ηv2.

(9)

➪➴✉, Shou-hua Zhu ITP, Peking University Guiding stars for physics beyond SM: Higgs boson and dark matter

SLIDE 137

Introduction Invisible SM-like Higgs boson due to X(214) and analysis fault Correlation between masses of SM-like Higgs boson and (singlet) scalar dark matter Higgs boson as the looking glass in mirror model Conclusion and discussion Broken parity Parity restoration: two approaches Communication with mirror world: three ways Minimal mirror model Two kinds of vacua Higgs phenomenology for symmetric vacuum Detecting H → hh signal

η > 0: non-symmetric vacuum: Requiring the minimum of Higgs potential is stable, then v1

2 = µ2

λ , v2

2 = 0.

(10) The Higgs boson masses are mh

2 = µ2

2 , m2

H = ηv2 1

8 (11)

➪➴✉, Shou-hua Zhu ITP, Peking University Guiding stars for physics beyond SM: Higgs boson and dark matter

SLIDE 138

Introduction Invisible SM-like Higgs boson due to X(214) and analysis fault Correlation between masses of SM-like Higgs boson and (singlet) scalar dark matter Higgs boson as the looking glass in mirror model Conclusion and discussion Broken parity Parity restoration: two approaches Communication with mirror world: three ways Minimal mirror model Two kinds of vacua Higgs phenomenology for symmetric vacuum Detecting H → hh signal

η > 0: non-symmetric vacuum: Requiring the minimum of Higgs potential is stable, then v1

2 = µ2

λ , v2

2 = 0.

(10) The Higgs boson masses are mh

2 = µ2

2 , m2

H = ηv2 1

8 (11)

➪➴✉, Shou-hua Zhu ITP, Peking University Guiding stars for physics beyond SM: Higgs boson and dark matter

SLIDE 139

Introduction Invisible SM-like Higgs boson due to X(214) and analysis fault Correlation between masses of SM-like Higgs boson and (singlet) scalar dark matter Higgs boson as the looking glass in mirror model Conclusion and discussion Broken parity Parity restoration: two approaches Communication with mirror world: three ways Minimal mirror model Two kinds of vacua Higgs phenomenology for symmetric vacuum Detecting H → hh signal

It seems that all the mirror particles must be

massless. However mirror particle can obtain

tiny mass through mirror QCD condensation, but we don’t discuss this case further.

➪➴✉, Shou-hua Zhu ITP, Peking University Guiding stars for physics beyond SM: Higgs boson and dark matter

SLIDE 140

Introduction Invisible SM-like Higgs boson due to X(214) and analysis fault Correlation between masses of SM-like Higgs boson and (singlet) scalar dark matter Higgs boson as the looking glass in mirror model Conclusion and discussion Broken parity Parity restoration: two approaches Communication with mirror world: three ways Minimal mirror model Two kinds of vacua Higgs phenomenology for symmetric vacuum Detecting H → hh signal

Higgs boson as the looking glass in mirror model

Broken parity Parity restoration: two approaches Communication with mirror world: three ways Minimal mirror model Two kinds of vacua Higgs phenomenology for symmetric vacuum Detecting H → hh signal

➪➴✉, Shou-hua Zhu ITP, Peking University Guiding stars for physics beyond SM: Higgs boson and dark matter

SLIDE 141

Introduction Invisible SM-like Higgs boson due to X(214) and analysis fault Correlation between masses of SM-like Higgs boson and (singlet) scalar dark matter Higgs boson as the looking glass in mirror model Conclusion and discussion Broken parity Parity restoration: two approaches Communication with mirror world: three ways Minimal mirror model Two kinds of vacua Higgs phenomenology for symmetric vacuum Detecting H → hh signal ➪➴✉, Shou-hua Zhu ITP, Peking University Guiding stars for physics beyond SM: Higgs boson and dark matter

SLIDE 142

Introduction Invisible SM-like Higgs boson due to X(214) and analysis fault Correlation between masses of SM-like Higgs boson and (singlet) scalar dark matter Higgs boson as the looking glass in mirror model Conclusion and discussion Broken parity Parity restoration: two approaches Communication with mirror world: three ways Minimal mirror model Two kinds of vacua Higgs phenomenology for symmetric vacuum Detecting H → hh signal

Lighter Higgs boson (h ) decay Br(h → b¯ b) = Γ(h → b¯ b) Γ(h → SM) + Γ(h → Mirror) = 1 2Br(hSM → b¯ b), (12)

➪➴✉, Shou-hua Zhu ITP, Peking University Guiding stars for physics beyond SM: Higgs boson and dark matter

SLIDE 143

Introduction Invisible SM-like Higgs boson due to X(214) and analysis fault Correlation between masses of SM-like Higgs boson and (singlet) scalar dark matter Higgs boson as the looking glass in mirror model Conclusion and discussion Broken parity Parity restoration: two approaches Communication with mirror world: three ways Minimal mirror model Two kinds of vacua Higgs phenomenology for symmetric vacuum Detecting H → hh signal

Heavier Higgs boson (H) decay Br(H → hh)

Br(H → b¯

b)

=

Γ(H → hh)

Γ(H → b¯

b)

Γ(H → SM) + Γ(H → Mirror) + Γ(H → hh)

= Γ(H → hh)

Γ(H → b¯

b)

2Γ(H → SM) + Γ(H → hh).

(13)

➪➴✉, Shou-hua Zhu ITP, Peking University Guiding stars for physics beyond SM: Higgs boson and dark matter

SLIDE 144

Introduction Invisible SM-like Higgs boson due to X(214) and analysis fault Correlation between masses of SM-like Higgs boson and (singlet) scalar dark matter Higgs boson as the looking glass in mirror model Conclusion and discussion Broken parity Parity restoration: two approaches Communication with mirror world: three ways Minimal mirror model Two kinds of vacua Higgs phenomenology for symmetric vacuum Detecting H → hh signal ➪➴✉, Shou-hua Zhu ITP, Peking University Guiding stars for physics beyond SM: Higgs boson and dark matter

SLIDE 145

Introduction Invisible SM-like Higgs boson due to X(214) and analysis fault Correlation between masses of SM-like Higgs boson and (singlet) scalar dark matter Higgs boson as the looking glass in mirror model Conclusion and discussion Broken parity Parity restoration: two approaches Communication with mirror world: three ways Minimal mirror model Two kinds of vacua Higgs phenomenology for symmetric vacuum Detecting H → hh signal

Higgs bosons production For the case mH < 2mh, each Higgs boson acts like the SM one except with only half production rate in MM model. Moreover each Higgs boson decays into SM matter with branching ratio half of SM case in MM model. For the case mH > 2mh, new decay channel

pens up. Thus provides unique signal to

investigate such model. (We focus on this scenario!)

➪➴✉, Shou-hua Zhu ITP, Peking University Guiding stars for physics beyond SM: Higgs boson and dark matter

SLIDE 146

Introduction Invisible SM-like Higgs boson due to X(214) and analysis fault Correlation between masses of SM-like Higgs boson and (singlet) scalar dark matter Higgs boson as the looking glass in mirror model Conclusion and discussion Broken parity Parity restoration: two approaches Communication with mirror world: three ways Minimal mirror model Two kinds of vacua Higgs phenomenology for symmetric vacuum Detecting H → hh signal

Higgs bosons production For the case mH < 2mh, each Higgs boson acts like the SM one except with only half production rate in MM model. Moreover each Higgs boson decays into SM matter with branching ratio half of SM case in MM model. For the case mH > 2mh, new decay channel

pens up. Thus provides unique signal to

investigate such model. (We focus on this scenario!)

➪➴✉, Shou-hua Zhu ITP, Peking University Guiding stars for physics beyond SM: Higgs boson and dark matter

SLIDE 147

Introduction Invisible SM-like Higgs boson due to X(214) and analysis fault Correlation between masses of SM-like Higgs boson and (singlet) scalar dark matter Higgs boson as the looking glass in mirror model Conclusion and discussion Broken parity Parity restoration: two approaches Communication with mirror world: three ways Minimal mirror model Two kinds of vacua Higgs phenomenology for symmetric vacuum Detecting H → hh signal

Higgs boson as the looking glass in mirror model

Broken parity Parity restoration: two approaches Communication with mirror world: three ways Minimal mirror model Two kinds of vacua Higgs phenomenology for symmetric vacuum Detecting H → hh signal

➪➴✉, Shou-hua Zhu ITP, Peking University Guiding stars for physics beyond SM: Higgs boson and dark matter

SLIDE 148

Introduction Invisible SM-like Higgs boson due to X(214) and analysis fault Correlation between masses of SM-like Higgs boson and (singlet) scalar dark matter Higgs boson as the looking glass in mirror model Conclusion and discussion Broken parity Parity restoration: two approaches Communication with mirror world: three ways Minimal mirror model Two kinds of vacua Higgs phenomenology for symmetric vacuum Detecting H → hh signal ➪➴✉, Shou-hua Zhu ITP, Peking University Guiding stars for physics beyond SM: Higgs boson and dark matter

SLIDE 149

Introduction Invisible SM-like Higgs boson due to X(214) and analysis fault Correlation between masses of SM-like Higgs boson and (singlet) scalar dark matter Higgs boson as the looking glass in mirror model Conclusion and discussion Broken parity Parity restoration: two approaches Communication with mirror world: three ways Minimal mirror model Two kinds of vacua Higgs phenomenology for symmetric vacuum Detecting H → hh signal

Detail simulation for p p → g g → H → h(→ b+b−) + hinv The most important irreducible background arises from Zb¯ b production, where Z decays into neutrinos. Moreover QCD multi-jet production, such as p p → Z(→ ν¯ ν)jj, are also the sources of the large backgrounds. In our analysis we require two b-tagged jets in

rder to suppress these backgrounds.

Other backgrounds can arise from ZZ, WZ, Wb¯ b, single top and t¯ t production

➪➴✉, Shou-hua Zhu ITP, Peking University Guiding stars for physics beyond SM: Higgs boson and dark matter

SLIDE 150

Introduction Invisible SM-like Higgs boson due to X(214) and analysis fault Correlation between masses of SM-like Higgs boson and (singlet) scalar dark matter Higgs boson as the looking glass in mirror model Conclusion and discussion Broken parity Parity restoration: two approaches Communication with mirror world: three ways Minimal mirror model Two kinds of vacua Higgs phenomenology for symmetric vacuum Detecting H → hh signal

Detail simulation for p p → g g → H → h(→ b+b−) + hinv The most important irreducible background arises from Zb¯ b production, where Z decays into neutrinos. Moreover QCD multi-jet production, such as p p → Z(→ ν¯ ν)jj, are also the sources of the large backgrounds. In our analysis we require two b-tagged jets in

rder to suppress these backgrounds.

Other backgrounds can arise from ZZ, WZ, Wb¯ b, single top and t¯ t production

➪➴✉, Shou-hua Zhu ITP, Peking University Guiding stars for physics beyond SM: Higgs boson and dark matter

SLIDE 151

Introduction Invisible SM-like Higgs boson due to X(214) and analysis fault Correlation between masses of SM-like Higgs boson and (singlet) scalar dark matter Higgs boson as the looking glass in mirror model Conclusion and discussion Broken parity Parity restoration: two approaches Communication with mirror world: three ways Minimal mirror model Two kinds of vacua Higgs phenomenology for symmetric vacuum Detecting H → hh signal

Detail simulation for p p → g g → H → h(→ b+b−) + hinv The most important irreducible background arises from Zb¯ b production, where Z decays into neutrinos. Moreover QCD multi-jet production, such as p p → Z(→ ν¯ ν)jj, are also the sources of the large backgrounds. In our analysis we require two b-tagged jets in

rder to suppress these backgrounds.

Other backgrounds can arise from ZZ, WZ, Wb¯ b, single top and t¯ t production

➪➴✉, Shou-hua Zhu ITP, Peking University Guiding stars for physics beyond SM: Higgs boson and dark matter

SLIDE 152

Introduction Invisible SM-like Higgs boson due to X(214) and analysis fault Correlation between masses of SM-like Higgs boson and (singlet) scalar dark matter Higgs boson as the looking glass in mirror model Conclusion and discussion Broken parity Parity restoration: two approaches Communication with mirror world: three ways Minimal mirror model Two kinds of vacua Higgs phenomenology for symmetric vacuum Detecting H → hh signal

Detail simulation for p p → g g → H → h(→ b+b−) + hinv The most important irreducible background arises from Zb¯ b production, where Z decays into neutrinos. Moreover QCD multi-jet production, such as p p → Z(→ ν¯ ν)jj, are also the sources of the large backgrounds. In our analysis we require two b-tagged jets in

rder to suppress these backgrounds.

Other backgrounds can arise from ZZ, WZ, Wb¯ b, single top and t¯ t production

➪➴✉, Shou-hua Zhu ITP, Peking University Guiding stars for physics beyond SM: Higgs boson and dark matter

SLIDE 153

Introduction Invisible SM-like Higgs boson due to X(214) and analysis fault Correlation between masses of SM-like Higgs boson and (singlet) scalar dark matter Higgs boson as the looking glass in mirror model Conclusion and discussion Broken parity Parity restoration: two approaches Communication with mirror world: three ways Minimal mirror model Two kinds of vacua Higgs phenomenology for symmetric vacuum Detecting H → hh signal

Basic cuts: PT(j1), PT(j2) > 20GeV, 15GeV (14) |ηj| < 2 (15) △R(jj) > 0.4 (16) mjj > 10GeV, (17)

➪➴✉, Shou-hua Zhu ITP, Peking University Guiding stars for physics beyond SM: Higgs boson and dark matter

SLIDE 154

Introduction Invisible SM-like Higgs boson due to X(214) and analysis fault Correlation between masses of SM-like Higgs boson and (singlet) scalar dark matter Higgs boson as the looking glass in mirror model Conclusion and discussion Broken parity Parity restoration: two approaches Communication with mirror world: three ways Minimal mirror model Two kinds of vacua Higgs phenomenology for symmetric vacuum Detecting H → hh signal

To suppress the backgrounds from Wb¯ b, WZ, single top with t → bW and t¯ t → bW¯

bW. For

these backgrounds, the final state charge leptons or jets from W escape from the detection. We suppress these contributions by vetoing events from W decay with follow cuts PT(j) > 15GeV, |η(j)| < 2.0 (18) PT(l±) > 10GeV, |η(l±)| < 2.5 (19)

➪➴✉, Shou-hua Zhu ITP, Peking University Guiding stars for physics beyond SM: Higgs boson and dark matter

SLIDE 155

Introduction Invisible SM-like Higgs boson due to X(214) and analysis fault Correlation between masses of SM-like Higgs boson and (singlet) scalar dark matter Higgs boson as the looking glass in mirror model Conclusion and discussion Broken parity Parity restoration: two approaches Communication with mirror world: three ways Minimal mirror model Two kinds of vacua Higgs phenomenology for symmetric vacuum Detecting H → hh signal

The numerical results after imposing cuts Eqs. 14-19

Channel Zb¯ b Zb¯ c Zbj Zc¯ c Zcj Zjj σ(pb) 3.250 0.011 0.107 0.001 0.027 0.063 Channel ZZ W −b¯ b W −Z t¯ b t¯ t σ(pb) 0.072 0.417 0.032 0.017 0.346 Table: The cross sections (in pb) of backgrounds for b¯ b+ PT after basic kinematical cuts Eqs. 14-19 and tagging efficiencies where j = u, ¯ u, d, ¯ d, s, ¯ s, g.

➪➴✉, Shou-hua Zhu ITP, Peking University Guiding stars for physics beyond SM: Higgs boson and dark matter

SLIDE 156

Introduction Invisible SM-like Higgs boson due to X(214) and analysis fault Correlation between masses of SM-like Higgs boson and (singlet) scalar dark matter Higgs boson as the looking glass in mirror model Conclusion and discussion Broken parity Parity restoration: two approaches Communication with mirror world: three ways Minimal mirror model Two kinds of vacua Higgs phenomenology for symmetric vacuum Detecting H → hh signal

The signals and backgrounds for b¯ b+ PT as a function of PT

➪➴✉, Shou-hua Zhu ITP, Peking University Guiding stars for physics beyond SM: Higgs boson and dark matter

SLIDE 157

Introduction Invisible SM-like Higgs boson due to X(214) and analysis fault Correlation between masses of SM-like Higgs boson and (singlet) scalar dark matter Higgs boson as the looking glass in mirror model Conclusion and discussion Broken parity Parity restoration: two approaches Communication with mirror world: three ways Minimal mirror model Two kinds of vacua Higgs phenomenology for symmetric vacuum Detecting H → hh signal

In order to suppress the backgrounds, we impose the further cuts as following |mjj − mh| < 15GeV (20) 40GeV < PT < 80GeV. (21)

➪➴✉, Shou-hua Zhu ITP, Peking University Guiding stars for physics beyond SM: Higgs boson and dark matter

SLIDE 158

Introduction Invisible SM-like Higgs boson due to X(214) and analysis fault Correlation between masses of SM-like Higgs boson and (singlet) scalar dark matter Higgs boson as the looking glass in mirror model Conclusion and discussion Broken parity Parity restoration: two approaches Communication with mirror world: three ways Minimal mirror model Two kinds of vacua Higgs phenomenology for symmetric vacuum Detecting H → hh signal

The signals and backgrounds as the function of |ηj1 − ηj2|

➪➴✉, Shou-hua Zhu ITP, Peking University Guiding stars for physics beyond SM: Higgs boson and dark matter

SLIDE 159

Introduction Invisible SM-like Higgs boson due to X(214) and analysis fault Correlation between masses of SM-like Higgs boson and (singlet) scalar dark matter Higgs boson as the looking glass in mirror model Conclusion and discussion Broken parity Parity restoration: two approaches Communication with mirror world: three ways Minimal mirror model Two kinds of vacua Higgs phenomenology for symmetric vacuum Detecting H → hh signal

We require |ηj1 − ηj2| < 1.5, (22) and this cut would improve significance of the signals by a factor of 1.2.

➪➴✉, Shou-hua Zhu ITP, Peking University Guiding stars for physics beyond SM: Higgs boson and dark matter

SLIDE 160

Introduction Invisible SM-like Higgs boson due to X(214) and analysis fault Correlation between masses of SM-like Higgs boson and (singlet) scalar dark matter Higgs boson as the looking glass in mirror model Conclusion and discussion Broken parity Parity restoration: two approaches Communication with mirror world: three ways Minimal mirror model Two kinds of vacua Higgs phenomenology for symmetric vacuum Detecting H → hh signal

In order to suppress the largest Zb¯ b background, we can utilize the precise measurement of Z(→ µ+µ−)b¯ b. σZb¯

b,imp bkg

= σZb¯

b bkg − R × σb¯ bµ+µ−.

(23) In Eq. 23, σb¯

bµ+µ− is the cross section for

Z(→ µ+µ−)b¯ b production which adopts the same kinematical cuts for Z(→ ν¯ ν)b¯ b.

➪➴✉, Shou-hua Zhu ITP, Peking University Guiding stars for physics beyond SM: Higgs boson and dark matter

SLIDE 161

Introduction Invisible SM-like Higgs boson due to X(214) and analysis fault Correlation between masses of SM-like Higgs boson and (singlet) scalar dark matter Higgs boson as the looking glass in mirror model Conclusion and discussion Broken parity Parity restoration: two approaches Communication with mirror world: three ways Minimal mirror model Two kinds of vacua Higgs phenomenology for symmetric vacuum Detecting H → hh signal

R is a ratio which is defined as R =

i Br(Z → νi ¯

νi) Br(Z → µ+µ−) , (24) and in our case R = 5.94. Note that σZb¯

b,imp bkg

≈ 0 if we can measure all final states b¯ bµ+µ− in any kinematical region.

➪➴✉, Shou-hua Zhu ITP, Peking University Guiding stars for physics beyond SM: Higgs boson and dark matter

SLIDE 162

Introduction Invisible SM-like Higgs boson due to X(214) and analysis fault Correlation between masses of SM-like Higgs boson and (singlet) scalar dark matter Higgs boson as the looking glass in mirror model Conclusion and discussion Broken parity Parity restoration: two approaches Communication with mirror world: three ways Minimal mirror model Two kinds of vacua Higgs phenomenology for symmetric vacuum Detecting H → hh signal

Cuts s(fb) b(fb) S/B S/ √ B1 S/ √ B2 basic cuts 26.6 4948 0.0054 1.19 2.07 |mjj − mh| < 30GeV 26.6 1133 0.023 2.50 4.32 |mjj − mh| < 15GeV 26.6 492 0.054 3.79 6.56 20 < PT < 120GeV 25.0 401 0.062 3.94 6.83 40 < PT < 80GeV 19.4 202 0.096 4.33 7.49 |ηj1 − ηj2| < 1.5 15.2 95 0.16 4.93 8.54 improved backg 15.2 18 0.83 11.4 19.8 Table: The significance S/ √ B1 is for the luminosity of 10fb−1 and S/ √ B2 is for the luminosity of 30fb−1. Here mH = 260 GeV and mh = 115 GeV.

➪➴✉, Shou-hua Zhu ITP, Peking University Guiding stars for physics beyond SM: Higgs boson and dark matter

SLIDE 163

Introduction Invisible SM-like Higgs boson due to X(214) and analysis fault Correlation between masses of SM-like Higgs boson and (singlet) scalar dark matter Higgs boson as the looking glass in mirror model Conclusion and discussion Broken parity Parity restoration: two approaches Communication with mirror world: three ways Minimal mirror model Two kinds of vacua Higgs phenomenology for symmetric vacuum Detecting H → hh signal

mh = 100GeV mh = 115GeV mh = 130GeV mH = 250 GeV 8.2(40,80) 8.3(10,60) −− mH = 300 GeV 9.0(80,130) 9.6(60,110) 17.5(40,80) mH = 350 GeV 5.5(100,150) 6.6(90,140) 11.6(80,120) Table: The integrated luminosity [in fb−1], which is required to observe H → hh → b¯ b+ PT with 5σ significance at the

LHC. The numbers in bracket are mass window of PT. Note

the Eq. 23 is not applied.

➪➴✉, Shou-hua Zhu ITP, Peking University Guiding stars for physics beyond SM: Higgs boson and dark matter

SLIDE 164

Introduction Invisible SM-like Higgs boson due to X(214) and analysis fault Correlation between masses of SM-like Higgs boson and (singlet) scalar dark matter Higgs boson as the looking glass in mirror model Conclusion and discussion Broken parity Parity restoration: two approaches Communication with mirror world: three ways Minimal mirror model Two kinds of vacua Higgs phenomenology for symmetric vacuum Detecting H → hh signal

Detail simulation for gg → H → hh → 4b.

➪➴✉, Shou-hua Zhu ITP, Peking University Guiding stars for physics beyond SM: Higgs boson and dark matter

SLIDE 165

Introduction Invisible SM-like Higgs boson due to X(214) and analysis fault Correlation between masses of SM-like Higgs boson and (singlet) scalar dark matter Higgs boson as the looking glass in mirror model Conclusion and discussion

Conclusion and discussion

➪➴✉, Shou-hua Zhu ITP, Peking University Guiding stars for physics beyond SM: Higgs boson and dark matter

SLIDE 166

Introduction Invisible SM-like Higgs boson due to X(214) and analysis fault Correlation between masses of SM-like Higgs boson and (singlet) scalar dark matter Higgs boson as the looking glass in mirror model Conclusion and discussion

Provided that there are physics beyond the SM, we find them likely via the investigation on Higgs boson(s) and/or dark matter. The importance of combination of cosmology and particle physics. The coming LHC may/should open the new chapter of particle physics!

➪➴✉, Shou-hua Zhu ITP, Peking University Guiding stars for physics beyond SM: Higgs boson and dark matter

SLIDE 167

Introduction Invisible SM-like Higgs boson due to X(214) and analysis fault Correlation between masses of SM-like Higgs boson and (singlet) scalar dark matter Higgs boson as the looking glass in mirror model Conclusion and discussion

Provided that there are physics beyond the SM, we find them likely via the investigation on Higgs boson(s) and/or dark matter. The importance of combination of cosmology and particle physics. The coming LHC may/should open the new chapter of particle physics!

➪➴✉, Shou-hua Zhu ITP, Peking University Guiding stars for physics beyond SM: Higgs boson and dark matter

SLIDE 168

Introduction Invisible SM-like Higgs boson due to X(214) and analysis fault Correlation between masses of SM-like Higgs boson and (singlet) scalar dark matter Higgs boson as the looking glass in mirror model Conclusion and discussion

Provided that there are physics beyond the SM, we find them likely via the investigation on Higgs boson(s) and/or dark matter. The importance of combination of cosmology and particle physics. The coming LHC may/should open the new chapter of particle physics!

➪➴✉, Shou-hua Zhu ITP, Peking University Guiding stars for physics beyond SM: Higgs boson and dark matter

SLIDE 169

Introduction Invisible SM-like Higgs boson due to X(214) and analysis fault Correlation between masses of SM-like Higgs boson and (singlet) scalar dark matter Higgs boson as the looking glass in mirror model Conclusion and discussion

Thanks for your attention!

➪➴✉, Shou-hua Zhu ITP, Peking University Guiding stars for physics beyond SM: Higgs boson and dark matter

Guiding stars for physics beyond SM: Higgs boson and dark matter

➪➴✉, Shou-hua Zhu ITP, Peking University January 9, 2008

Brief Introduction to Institute of Theoretical Physics (ITP)

String Theory and Cosmology ( > or ≫ TeV):

Bin Chen

TeV Physics (LHC/ILC energy scale):

Chong Sheng Li

Da-xin Zhang

Shou-hua Zhu

Hadronic Physics (GeV):

Kuang-ta Chao (director)

Chuan Liu

Bo-qiang Ma

Han-qing Zheng

Shi-lin Zhu

Nuclear Physics (MeV):

Wei-zhen Deng

Yi-an Lei

Yu-xin Liu

Condensed Matter Physics (Many-body, eV):

Ding-ping Li

Zhong-shui Ma

Contents

Introduction

Invisible SM-like Higgs boson due to X(214) and analysis fault

Correlation between masses of SM-like Higgs boson and (singlet) scalar dark matter

Higgs boson as the looking glass in mirror model

Conclusion and discussion

Contents

Introduction

Invisible SM-like Higgs boson due to X(214) and analysis fault

Correlation between masses of SM-like Higgs boson and (singlet) scalar dark matter

Higgs boson as the looking glass in mirror model

Conclusion and discussion

Contents

Introduction

Invisible SM-like Higgs boson due to X(214) and analysis fault

Correlation between masses of SM-like Higgs boson and (singlet) scalar dark matter

Higgs boson as the looking glass in mirror model

Conclusion and discussion

Contents

Introduction

Invisible SM-like Higgs boson due to X(214) and analysis fault

Correlation between masses of SM-like Higgs boson and (singlet) scalar dark matter

Higgs boson as the looking glass in mirror model

Conclusion and discussion

Contents

Introduction

Invisible SM-like Higgs boson due to X(214) and analysis fault

Correlation between masses of SM-like Higgs boson and (singlet) scalar dark matter

Higgs boson as the looking glass in mirror model

Conclusion and discussion

Based on

76, 095012 (2007) [arXiv:0709.1586 [hep-ph]].

arXiv:hep-ph/0601224.

[arXiv:hep-ph/0701001]. P.f. Yin and S. h. Zhu, arXiv:hep-ph/0611270.

[arXiv:hep-ph/0512055].

Introduction

Higgs sector is the least known part in SM Dark matter is required by cosmological

Invisible Higgs boson (Öç❶❞â❢) Higgs boson and/or dark matter as the guiding stars!

Introduction

Higgs sector is the least known part in SM Dark matter is required by cosmological

Invisible Higgs boson (Öç❶❞â❢) Higgs boson and/or dark matter as the guiding stars!

Not found yet.

Direct limit 114 GeV from LEP at CERN.

Q: What is direct limit? A: Limit from experiments in which Higgs boson is supposed to be produced directly.

Indirect information from quantum fluctuations and screening theorem: precision observables are only sensitive to log(mH) for leading quantum fluctuation effects.

Q: What is indirect limit? A: Limit from experiments in which Higgs boson can✳t be produced directly, namely shows up only as virtual states.

Not found yet.

Direct limit 114 GeV from LEP at CERN.

Q: What is direct limit? A: Limit from experiments in which Higgs boson is supposed to be produced directly.

Indirect information from quantum fluctuations and screening theorem: precision observables are only sensitive to log(mH) for leading quantum fluctuation effects.

Q: What is indirect limit? A: Limit from experiments in which Higgs boson can✳t be produced directly, namely shows up only as virtual states.

Not found yet.

Direct limit 114 GeV from LEP at CERN.

Q: What is direct limit? A: Limit from experiments in which Higgs boson is supposed to be produced directly.

Indirect information from quantum fluctuations and screening theorem: precision observables are only sensitive to log(mH) for leading quantum fluctuation effects.

Q: What is indirect limit? A: Limit from experiments in which Higgs boson can✳t be produced directly, namely shows up only as virtual states.

Not found yet.

Direct limit 114 GeV from LEP at CERN.