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

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


  1. Introduction Higgs sector is the least known part in SM Invisible SM-like Higgs boson due to X(214) and analysis fault Dark matter is required by cosmological observations! Correlation between masses of SM-like Higgs boson and (singlet) scalar dark matter Invisible Higgs boson ( Ö ç ❶ ❞ â ❢ ) Higgs boson as the looking glass in mirror model Higgs boson and/or dark matter as the guiding stars! Conclusion and discussion Not found yet. 1 Direct limit 114 GeV from LEP at CERN. 2 Q: What is direct limit? A: Limit from experiments in which Higgs boson is supposed to be produced directly. Indirect information from quantum fluctuations 3 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

  2. Introduction Higgs sector is the least known part in SM Invisible SM-like Higgs boson due to X(214) and analysis fault Dark matter is required by cosmological observations! Correlation between masses of SM-like Higgs boson and (singlet) scalar dark matter Invisible Higgs boson ( Ö ç ❶ ❞ â ❢ ) Higgs boson as the looking glass in mirror model Higgs boson and/or dark matter as the guiding stars! Conclusion and discussion Not found yet. 1 Direct limit 114 GeV from LEP at CERN. 2 Q: What is direct limit? A: Limit from experiments in which Higgs boson is supposed to be produced directly. Indirect information from quantum fluctuations 3 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

  3. Introduction Higgs sector is the least known part in SM Invisible SM-like Higgs boson due to X(214) and analysis fault Dark matter is required by cosmological observations! Correlation between masses of SM-like Higgs boson and (singlet) scalar dark matter Invisible Higgs boson ( Ö ç ❶ ❞ â ❢ ) Higgs boson as the looking glass in mirror model Higgs boson and/or dark matter as the guiding stars! Conclusion and discussion Not found yet. 1 Direct limit 114 GeV from LEP at CERN. 2 Q: What is direct limit? A: Limit from experiments in which Higgs boson is supposed to be produced directly. Indirect information from quantum fluctuations 3 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

  4. Introduction Higgs sector is the least known part in SM Invisible SM-like Higgs boson due to X(214) and analysis fault Dark matter is required by cosmological observations! Correlation between masses of SM-like Higgs boson and (singlet) scalar dark matter Invisible Higgs boson ( Ö ç ❶ ❞ â ❢ ) Higgs boson as the looking glass in mirror model Higgs boson and/or dark matter as the guiding stars! Conclusion and discussion Not found yet. 1 Direct limit 114 GeV from LEP at CERN. 2 Q: What is direct limit? A: Limit from experiments in which Higgs boson is supposed to be produced directly. Indirect information from quantum fluctuations 3 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

  5. Introduction Higgs sector is the least known part in SM Invisible SM-like Higgs boson due to X(214) and analysis fault Dark matter is required by cosmological observations! Correlation between masses of SM-like Higgs boson and (singlet) scalar dark matter Invisible Higgs boson ( Ö ç ❶ ❞ â ❢ ) Higgs boson as the looking glass in mirror model Higgs boson and/or dark matter as the guiding stars! Conclusion and discussion Not found yet. 1 Direct limit 114 GeV from LEP at CERN. 2 Q: What is direct limit? A: Limit from experiments in which Higgs boson is supposed to be produced directly. Indirect information from quantum fluctuations 3 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

  6. Introduction Higgs sector is the least known part in SM Invisible SM-like Higgs boson due to X(214) and analysis fault Dark matter is required by cosmological observations! Correlation between masses of SM-like Higgs boson and (singlet) scalar dark matter Invisible Higgs boson ( Ö ç ❶ ❞ â ❢ ) Higgs boson as the looking glass in mirror model Higgs boson and/or dark matter as the guiding stars! Conclusion and discussion Consistent of direct and indirect limits? ➪ ➴ ✉ , Shou-hua Zhu ITP, Peking University Guiding stars for physics beyond SM: Higgs boson and dark matter

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

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

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

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

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

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

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

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

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

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

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

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

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

  20. Introduction Higgs sector is the least known part in SM Invisible SM-like Higgs boson due to X(214) and analysis fault Dark matter is required by cosmological observations! Correlation between masses of SM-like Higgs boson and (singlet) scalar dark matter Invisible Higgs boson ( Ö ç ❶ ❞ â ❢ ) Higgs boson as the looking glass in mirror model Higgs boson and/or dark matter as the guiding stars! Conclusion and discussion The investigation on Higgs boson and/or dark matter can provide crucial information for deepening our understanding of the nature! ➪ ➴ ✉ , Shou-hua Zhu ITP, Peking University Guiding stars for physics beyond SM: Higgs boson and dark matter

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

  38. Introduction ’SM-like’ Higgs boson Invisible SM-like Higgs boson due to X(214) and analysis fault HyperCP three events Correlation between masses of SM-like Higgs boson and (singlet) scalar dark matter A new pseudoscalar X(214 MeV)? Higgs boson as the looking glass in mirror model All about X(214) Conclusion and discussion Consequences on Higgs physics m X = 214 . 3 ± 0 . 5 MeV Dominantly decays into µ + µ − , not photons ∆ m ≡ m X − 2 m µ ≈ 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

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

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

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

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

  43. Introduction ’SM-like’ Higgs boson Invisible SM-like Higgs boson due to X(214) and analysis fault HyperCP three events Correlation between masses of SM-like Higgs boson and (singlet) scalar dark matter A new pseudoscalar X(214 MeV)? Higgs boson as the looking glass in mirror model All about X(214) Conclusion and discussion Consequences on Higgs physics (∆ η ) 2 + (∆ φ ) 2 approaches 0 due to � ∆ R ≡ the tiny ∆ m ≡ m X − 2 m µ 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

  44. Introduction ’SM-like’ Higgs boson Invisible SM-like Higgs boson due to X(214) and analysis fault HyperCP three events Correlation between masses of SM-like Higgs boson and (singlet) scalar dark matter A new pseudoscalar X(214 MeV)? Higgs boson as the looking glass in mirror model All about X(214) Conclusion and discussion Consequences on Higgs physics (∆ η ) 2 + (∆ φ ) 2 approaches 0 due to � ∆ R ≡ the tiny ∆ m ≡ m X − 2 m µ 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

  45. Introduction ’SM-like’ Higgs boson Invisible SM-like Higgs boson due to X(214) and analysis fault HyperCP three events Correlation between masses of SM-like Higgs boson and (singlet) scalar dark matter A new pseudoscalar X(214 MeV)? Higgs boson as the looking glass in mirror model All about X(214) Conclusion and discussion Consequences on Higgs physics (∆ η ) 2 + (∆ φ ) 2 approaches 0 due to � ∆ R ≡ the tiny ∆ m ≡ m X − 2 m µ 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

  46. Introduction ’SM-like’ Higgs boson Invisible SM-like Higgs boson due to X(214) and analysis fault HyperCP three events Correlation between masses of SM-like Higgs boson and (singlet) scalar dark matter A new pseudoscalar X(214 MeV)? Higgs boson as the looking glass in mirror model All about X(214) Conclusion and discussion Consequences on Higgs physics (∆ η ) 2 + (∆ φ ) 2 approaches 0 due to � ∆ R ≡ the tiny ∆ m ≡ m X − 2 m µ 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

  47. Introduction ’SM-like’ Higgs boson Invisible SM-like Higgs boson due to X(214) and analysis fault HyperCP three events Correlation between masses of SM-like Higgs boson and (singlet) scalar dark matter A new pseudoscalar X(214 MeV)? Higgs boson as the looking glass in mirror model All about X(214) Conclusion and discussion Consequences on Higgs physics (∆ η ) 2 + (∆ φ ) 2 approaches 0 due to � ∆ R ≡ the tiny ∆ m ≡ m X − 2 m µ 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

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

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

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

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

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

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

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

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

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

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

  58. What determines the dark matter mass? Introduction Singlet scalar as the dark matter: the model Invisible SM-like Higgs boson due to X(214) and analysis fault Correlation between SM-like Higgs boson and dark matter Correlation between masses of SM-like Higgs boson and (singlet) scalar dark matter Invisible SM-like Higgs boson decay Higgs boson as the looking glass in mirror model Other supports Conclusion and discussion Pause No one knows! If dark matter is closely related with weak physics, why not the dark matter mass originates from electro-weak symmetry breaking? ➪ ➴ ✉ , Shou-hua Zhu ITP, Peking University Guiding stars for physics beyond SM: Higgs boson and dark matter

  59. What determines the dark matter mass? Introduction Singlet scalar as the dark matter: the model Invisible SM-like Higgs boson due to X(214) and analysis fault Correlation between SM-like Higgs boson and dark matter Correlation between masses of SM-like Higgs boson and (singlet) scalar dark matter Invisible SM-like Higgs boson decay Higgs boson as the looking glass in mirror model Other supports Conclusion and discussion Pause No one knows! If dark matter is closely related with weak physics, why not the dark matter mass originates from electro-weak symmetry breaking? ➪ ➴ ✉ , Shou-hua Zhu ITP, Peking University Guiding stars for physics beyond SM: Higgs boson and dark matter

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

  61. What determines the dark matter mass? Introduction Singlet scalar as the dark matter: the model Invisible SM-like Higgs boson due to X(214) and analysis fault Correlation between SM-like Higgs boson and dark matter Correlation between masses of SM-like Higgs boson and (singlet) scalar dark matter Invisible SM-like Higgs boson decay Higgs boson as the looking glass in mirror model Other supports Conclusion and discussion Pause We require the theory to be renormalizable, thus naturally take the singlet scalar as the dark matter Lagrangian is written as L = L SM + 1 2 ∂ µ S∂ µ S − λ S 4 S 4 − λS 2 (Φ + Φ) L SM 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 of cold dark matter. ➪ ➴ ✉ , Shou-hua Zhu ITP, Peking University Guiding stars for physics beyond SM: Higgs boson and dark matter

  62. What determines the dark matter mass? Introduction Singlet scalar as the dark matter: the model Invisible SM-like Higgs boson due to X(214) and analysis fault Correlation between SM-like Higgs boson and dark matter Correlation between masses of SM-like Higgs boson and (singlet) scalar dark matter Invisible SM-like Higgs boson decay Higgs boson as the looking glass in mirror model Other supports Conclusion and discussion Pause We require the theory to be renormalizable, thus naturally take the singlet scalar as the dark matter Lagrangian is written as L = L SM + 1 2 ∂ µ S∂ µ S − λ S 4 S 4 − λS 2 (Φ + Φ) L SM 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 of cold dark matter. ➪ ➴ ✉ , Shou-hua Zhu ITP, Peking University Guiding stars for physics beyond SM: Higgs boson and dark matter

  63. What determines the dark matter mass? Introduction Singlet scalar as the dark matter: the model Invisible SM-like Higgs boson due to X(214) and analysis fault Correlation between SM-like Higgs boson and dark matter Correlation between masses of SM-like Higgs boson and (singlet) scalar dark matter Invisible SM-like Higgs boson decay Higgs boson as the looking glass in mirror model Other supports Conclusion and discussion Pause We require the theory to be renormalizable, thus naturally take the singlet scalar as the dark matter Lagrangian is written as L = L SM + 1 2 ∂ µ S∂ µ S − λ S 4 S 4 − λS 2 (Φ + Φ) L SM 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 of cold dark matter. ➪ ➴ ✉ , Shou-hua Zhu ITP, Peking University Guiding stars for physics beyond SM: Higgs boson and dark matter

  64. What determines the dark matter mass? Introduction Singlet scalar as the dark matter: the model Invisible SM-like Higgs boson due to X(214) and analysis fault Correlation between SM-like Higgs boson and dark matter Correlation between masses of SM-like Higgs boson and (singlet) scalar dark matter Invisible SM-like Higgs boson decay Higgs boson as the looking glass in mirror model Other supports Conclusion and discussion Pause 0 S 2 is simply omitted, or negligible compared m 2 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, m 2 h = λ h v 2 with λ h the coefficient of (Φ + Φ) 2 and m 2 S = λv 2 . ➪ ➴ ✉ , Shou-hua Zhu ITP, Peking University Guiding stars for physics beyond SM: Higgs boson and dark matter

  65. What determines the dark matter mass? Introduction Singlet scalar as the dark matter: the model Invisible SM-like Higgs boson due to X(214) and analysis fault Correlation between SM-like Higgs boson and dark matter Correlation between masses of SM-like Higgs boson and (singlet) scalar dark matter Invisible SM-like Higgs boson decay Higgs boson as the looking glass in mirror model Other supports Conclusion and discussion Pause 0 S 2 is simply omitted, or negligible compared m 2 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, m 2 h = λ h v 2 with λ h the coefficient of (Φ + Φ) 2 and m 2 S = λv 2 . ➪ ➴ ✉ , Shou-hua Zhu ITP, Peking University Guiding stars for physics beyond SM: Higgs boson and dark matter

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

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

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

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

  70. What determines the dark matter mass? Introduction Singlet scalar as the dark matter: the model Invisible SM-like Higgs boson due to X(214) and analysis fault Correlation between SM-like Higgs boson and dark matter Correlation between masses of SM-like Higgs boson and (singlet) scalar dark matter Invisible SM-like Higgs boson decay Higgs boson as the looking glass in mirror model Other supports Conclusion and discussion 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)) (1 . 07 × 10 9 ) x f Ω S h 2 = √ g ∗ M pl [in GeV] < σv rel >, where g ∗ counts the degrees of freedom in equilibrium at annihilation, x f is the inverse freeze-out temperature in units of m S , which can be obtained by solving the equation � 0 . 038 M pl m S < σv rel > � x f ≃ ln . √ g ∗ x f ➪ ➴ ✉ , Shou-hua Zhu ITP, Peking University Guiding stars for physics beyond SM: Higgs boson and dark matter

  71. What determines the dark matter mass? Introduction Singlet scalar as the dark matter: the model Invisible SM-like Higgs boson due to X(214) and analysis fault Correlation between SM-like Higgs boson and dark matter Correlation between masses of SM-like Higgs boson and (singlet) scalar dark matter Invisible SM-like Higgs boson decay Higgs boson as the looking glass in mirror model Other supports Conclusion and discussion Pause Here v rel is the relative velocity of the two incoming dark matter particles, M pl is the Planck mass and < ... > denotes the relevant thermal average. σv rel is 8 λ 2 v 2 σ ann v rel = F X h ) 2 + m 2 (4 m 2 S − m 2 h Γ 2 h 8 m 4 S = h ] F X (1) v 2 [(4 m 2 h ) 2 + m 2 S − m 2 h Γ 2 ➪ ➴ ✉ , Shou-hua Zhu ITP, Peking University Guiding stars for physics beyond SM: Higgs boson and dark matter

  72. What determines the dark matter mass? Introduction Singlet scalar as the dark matter: the model Invisible SM-like Higgs boson due to X(214) and analysis fault Correlation between SM-like Higgs boson and dark matter Correlation between masses of SM-like Higgs boson and (singlet) scalar dark matter Invisible SM-like Higgs boson decay Higgs boson as the looking glass in mirror model Other supports Conclusion and discussion Pause Here v rel is the relative velocity of the two incoming dark matter particles, M pl is the Planck mass and < ... > denotes the relevant thermal average. σv rel is 8 λ 2 v 2 σ ann v rel = F X h ) 2 + m 2 (4 m 2 S − m 2 h Γ 2 h 8 m 4 S = h ] F X (1) v 2 [(4 m 2 h ) 2 + m 2 S − m 2 h Γ 2 ➪ ➴ ✉ , Shou-hua Zhu ITP, Peking University Guiding stars for physics beyond SM: Higgs boson and dark matter

  73. What determines the dark matter mass? Introduction Singlet scalar as the dark matter: the model Invisible SM-like Higgs boson due to X(214) and analysis fault Correlation between SM-like Higgs boson and dark matter Correlation between masses of SM-like Higgs boson and (singlet) scalar dark matter Invisible SM-like Higgs boson decay Higgs boson as the looking glass in mirror model Other supports Conclusion and discussion Pause Here � Γ ˜ � h → X F X = lim . (2) m ˜ h → 2 m S m ˜ h Γ h 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 → 2 m S . Here X represents SM particles. Relic density (within 3 σ uncertainty) 0 . 093 < Ω dm h 2 < 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

  74. What determines the dark matter mass? Introduction Singlet scalar as the dark matter: the model Invisible SM-like Higgs boson due to X(214) and analysis fault Correlation between SM-like Higgs boson and dark matter Correlation between masses of SM-like Higgs boson and (singlet) scalar dark matter Invisible SM-like Higgs boson decay Higgs boson as the looking glass in mirror model Other supports Conclusion and discussion Pause Here � Γ ˜ � h → X F X = lim . (2) m ˜ h → 2 m S m ˜ h Γ h 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 → 2 m S . Here X represents SM particles. Relic density (within 3 σ uncertainty) 0 . 093 < Ω dm h 2 < 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

  75. What determines the dark matter mass? Introduction Singlet scalar as the dark matter: the model Invisible SM-like Higgs boson due to X(214) and analysis fault Correlation between SM-like Higgs boson and dark matter Correlation between masses of SM-like Higgs boson and (singlet) scalar dark matter Invisible SM-like Higgs boson decay Higgs boson as the looking glass in mirror model Other supports Conclusion and discussion Pause Here � Γ ˜ � h → X F X = lim . (2) m ˜ h → 2 m S m ˜ h Γ h 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 → 2 m S . Here X represents SM particles. Relic density (within 3 σ uncertainty) 0 . 093 < Ω dm h 2 < 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

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

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

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

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

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

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

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

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

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

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