Indirect verification of the extended Higgs model with CP-violation - - PowerPoint PPT Presentation

Indirect verification of the extended Higgs model with CP-violation

University of Toyama/Osaka University

2017/12/23

21th Regular Meeting of New Higgs Working Group

In collaboration with M. Aoki, D. Kaneko, S. Kanemura, K. Hashino

Mitsunori Kubota

[In preparation]

Contents

• Introduction
• CP-violation and baryogenesis
• Two Higgs doublet model with CP-violation
• Indirect search of CP-violation
• Summary

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21th Regular Meeting of New Higgs Working Group

Introduction

• Discovery of Higgs boson (125GeV)

The standard model (SM) has been established as the low energy effective theory.

• Beyond the SM phenomena
• Neutrino oscillation
• Existence of dark matter
• Baryon asymmetry of the universe
• Neutrino mass is zero.
• No candidate of dark matter.
• Sakharov conditions

(1967) cannot be satisfied. In the SM,

However, the structure of the Higgs sector is not distinct.

ØThe extended Higgs sector is a good candidate for solving these problems.

Ø Some extension is required.

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21th Regular Meeting of New Higgs Working Group

Baryon asymmetry of the universe

Baryon number density Anti-baryon number density Photon number density

Observational evidence

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Baryon number must be generated before the nucleosynthesis era. ØA theory needs to satisfy Sakharov conditions (1967) for the baryogenesis.

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21th Regular Meeting of New Higgs Working Group

Condition for baryogenesis

Electroweak baryogenesis

① -> Sphaleron process ② -> Extended Higgs sector ③ -> Strongly 1st order phase transition For example,

• CP-violation by Kobayashi-Maskawa phase (1973) is quantitatively not sufficient.
• Strongly 1st order phase transition cannot occur.

In the SM,

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Ø To explain BAU, we consider the extended Higgs model with CP-violation.

[Kuzmin, Rubakov and Shaposhnikov (1985)] [Farrar and Shaposhnikov (1994)] [Kajantie, Laine, Rummukainen and Shaposhnikov (1996)]

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21th Regular Meeting of New Higgs Working Group

① B (baryon number) violation ② C and CP violation ③ Departure from equilibrium

Sakharov conditions (1967)

Extended Higgs model with CP violation

• Test of the extended Higgs model

Higgs couplings depend on the structure of the Higgs sector.

• Direct search
• Indirect search

Ø We analyze the deviations of the Higgs couplings from SM

• n CP-conserving case and CP-violating case of the 2HDM.

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• Two Higgs doublet model (2HDM)
• Simple extension from SM
• Strongly 1st order phase transition can occur.
• New CP-violation source can be included.

𝐽 = 1 2 , 𝑍 = 1 2 𝐼, 𝐵: New particles

[T. D. Lee, Phys. Rev. D8, 1226 (1973)]

… Discovery of the new particle … Detection of the deviation from SM prediction

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21th Regular Meeting of New Higgs Working Group

Test using the Higgs couplings

• For example, in 2HDM(CPC),

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[ From “ILC 250 ヒッグスファクトリーの物理意義を検証する委員会” ]

[S. Kanemura, K. Tumura, K. Yagyu and H. Yokoya, Phys. Rev. D 90, 075001 (2014)]

cos(β-α)≤0

Type-Y Type-II Type-I Type-X

2 2 2 2 0.95 0.95 0.95 0.95 1 1 1 0.90 0.90 0.90 3 3 3 3 0.99 0.99 0.99 5 8 0.99 κv2 = 0.90, tanβ = 1 mh = 125 GeV m ˜

H = 200 GeV

mH± = m ˜

A = 250 GeV

0.6 0.8 1.0 1.2 1.4 1.6 1.8 2.0 0.6 0.8 1.0 1.2 1.4 1.6 1.8 2.0 κ κd

1.0 1.0

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21th Regular Meeting of New Higgs Working Group

If we can detect the deviation pattern

• f the Higgs couplings, we can get the

information of the Higgs sector.

2HDM and 𝒂𝟑 symmetry (CPV)

d s 𝛎 𝛎 𝛠𝟏 2017/12/23

[M. Aoki, S. Kanemura, K. Tsumura and K. Yagyu, Phys. Rev. D80, 015017 (2009)] [S. L. Glashow and S. Weinberg, Phys. Rev. D 15, 1958 (1977)]

𝑎/ charge assignment of each type 𝛠𝟏 : neutral scalar

• The 𝑎/ symmetry is imposed to avoid the flavor changing neutral current at the tree level.
• Potential of 2HDM (most general)

21th Regular Meeting of New Higgs Working Group

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2HDM and 𝒂𝟑 symmetry (CPV)

• The 𝑎/ symmetry is imposed to avoid the flavor changing neutral current at the tree level.

For example, in the type-II 𝑎/ charge assignment of each type

• Potential of 2HDM (most general)

d s 𝛎 𝛎 𝛠𝟏

+ + + −

𝛠𝟏 : neutral scalar

𝑎/ charge :

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+ +

[S. L. Glashow and S. Weinberg, Phys. Rev. D 15, 1958 (1977)] [M. Aoki, S. Kanemura, K. Tsumura and K. Yagyu, Phys. Rev. D80, 015017 (2009)]

21th Regular Meeting of New Higgs Working Group

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2HDM with softly broken 𝒂𝟑 (CPV)

• Vacuum expectation value

The redefinition of the phases in the fields can get 𝜊 to disappear.

• Parameters in this model

Stationary conditions CP-violation relates to this parameter 2017/12/23 10

• Potential of 2HDM with softly broken 𝑎/

21th Regular Meeting of New Higgs Working Group

[H. Georgi, Hadr. J. 1, 155 (1978)]

Higgs couplings

• Couplings to the fermions
• Couplings to the gauge bosons

ℎ : Higgs (125GeV)

• Ratio of the decay rate of Higgs

In 2HDM with softly broken 𝑎/ (CPV),

Mass eigenstates Rotation of the base 2017/12/23 11

+ + + + + + + + + + ++ + + + + + + + + ++ + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + * *** * * * * * * * ** * * * * * * * *** * * * * * * * ** * * * * * * * * * * * * * * * * * * * * * * * * * * * *

▲ ▲▲ ▲ ▲ ▲ ▲ ▲ ▲ ▲ ▲▲ ▲ ▲ ▲ ▲ ▲ ▲ ▲ ▲ ▲▲ ▲ ▲ ▲ ▲ ▲ ▲ ▲▲ ▲ ▲ ▲ ▲ ▲ ▲ ▲ ▲ ▲ ▲ ▲ ▲ ▲ ▲ ▲ ▲ ▲ ▲ ▲ ▲ ▲ ▲ ▲ ▲ ▲ ▲ ▲ ▲ ▲ ▲ ▲ ▲ ▲

0.6 0.8 1.0 1.2 1.4 1.6 1.8 2.0

• > τ τ
• >

Ratio of decay rate

• For the couplings to the fermions

12

• For the couplings to the gauge bosons

Higgs couplings

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Type-I Type-X Type-II Type-Y

• : Im(𝜇?)=0.00

＋ : Im(𝜇?)=0.10 ★ : Im(𝜇?)=0.15 ▲ : Im(𝜇?)=0.20

0.75 1.75 1.00 1.50 1.25 2.00 2.00 1.50 1.25 1.00 0.75 1.75

SM

[M. Aoki, D. Kaneko S. Kanemura , K. Hashino, MK, in preparation]

0.50 0.50

+ + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + * * ** * * * * * * * * * * * * * * * * * ** * * * * * * * ** * * * * * * * * * * * * * *

▲ ▲ ▲ ▲ ▲ ▲ ▲ ▲ ▲ ▲ ▲ ▲ ▲ ▲ ▲ ▲ ▲ ▲ ▲ ▲ ▲ ▲ ▲ ▲ ▲ ▲ ▲ ▲ ▲ ▲ ▲ ▲ ▲ ▲ ▲ ▲ ▲ ▲ ▲ ▲ ▲ ▲ ▲ ▲ ▲ ▲ ▲

0.5 0.6 0.7 0.8 0.9 1.0

• > τ τ

h -> c cbar Ratio of decay rate

• For the couplings to the fermions

13

• For the couplings to the gauge bosons

Higgs couplings

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Type-I,-Y Type-II,-X

1.00 0.90 0.80 0.70 0.60 0.50 0.50 0.75 1.75 1.00 1.50 1.25 2.00

• : Im(𝜇?)=0.00

＋ : Im(𝜇?)=0.10 ★ : Im(𝜇?)=0.15 ▲ : Im(𝜇?)=0.20 [M. Aoki, D. Kaneko S. Kanemura , K. Hashino, MK, in preparation]

+ + + + + + + * * * * * * * * *

▲ ▲ ▲ ▲ ▲ ▲ ▲ ▲ ▲ ▲

1.0 1.2 1.4 1.6 1.8 2.0 2.2 0.5 0.6 0.7 0.8 0.9 1.0

• > τ τ
• >

ILC250

CPC CPV

!"($%)=0.10 !"($%)=0.15 !"($%)=0

CPV

Type-X

1 1 1 1.20 0.90 0.80 0.70 0.60 0.50 2.00 1.80 1.40

Im()*) Im()*) Im()*) Im()*)

1.60

• 2.20

CPV

!"($%)=0.20

• For the couplings to the fermions

14

• For the couplings to the gauge bosons

Higgs couplings

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• Parameters in this model

[Sensitivity: “ILC 250 ヒッグスファクトリーの物理意義を検証する委員会” ]

ILC=International linear collider

[M. Aoki, D. Kaneko S. Kanemura , K. Hashino, MK, in preparation]

• For the couplings to the fermions

15

• For the couplings to the gauge bosons

Higgs couplings

2017/12/23

• Parameters in this model

+ + + + + + + * * * * * * * * *

▲ ▲ ▲ ▲ ▲ ▲ ▲ ▲ ▲ ▲

1.0 1.2 1.4 1.6 1.8 2.0 2.2 0.5 0.6 0.7 0.8 0.9 1.0

h -> τ τbar

• >

ILC250

CPC CPV

!"($%)=0.10 !"($%)=0.15 !"($%)=0

CPV

Type-X

1 1 1 1.20 0.90 0.80 0.70 0.60 0.50 2.00 1.80 1.40

Im()*) Im()*) Im()*) Im()*)

1.60

• 2.20

CPV

!"($%)=0.20

Type-II,-X

[Sensitivity: “ILC 250 ヒッグスファクトリーの物理意義を検証する委員会” ]

ILC=International linear collider

[M. Aoki, D. Kaneko S. Kanemura , K. Hashino, MK, in preparation]

16

0.01 0.05 0.10 0.50 1 0.95 0.96 0.97 0.98 0.99 1.00

Imλ

κu

tan𝛾=1 tan𝛾=2

Allowed

Excluded by EDM Im(𝜇?)=0.15

• Constraint from electric dipole moment

0.10 1 0.01 1 0.95 0.99 0.96 0.15

Type-X

0.98 0.97

[Sensitivity: “ILC 250 ヒッグスファクトリーの物理意義を検証する委員会” ]

ILC=International linear collider

0.05 0.50

+ + + + + + + * * * * * * * * *

▲ ▲ ▲ ▲ ▲ ▲ ▲ ▲ ▲ ▲

1.0 1.2 1.4 1.6 1.8 2.0 2.2 0.5 0.6 0.7 0.8 0.9 1.0

• > τ τ
• >

ILC250

CPC CPV

!"($%)=0.10 !"($%)=0.15 !"($%)=0

CPV

Type-X

1 1 1 1.20 0.90 0.80 0.70 0.60 0.50 2.00 1.80 1.40

Im()*) Im()*) Im()*) Im()*)

1.60

• 2.20

CPV

!"($%)=0.20

[K. Cheung, J. S. Lee, E. Senaha and P. -Y. Tseng, JHEP 06, 149 (2014)] [V. Keus, S. F. King, S. Moretti and K. Yagyu, JHEP 04, 048 (2016)]

2017/12/23

[M. Aoki, D. Kaneko S. Kanemura , K. Hashino, MK, in preparation]

Higgs couplings

Summary

• Because CPV by Kobayashi-Maskawa phase is not sufficient to

realize the baryon asymmetry of the universe, we need new CPV source.

• In this talk, we focused on the two Higgs doublet model with CPV

and analyzed CPV effects on the couplings of the discovered Higgs boson.

• We might be able to distinguish the CPV case from the CPC case

by future precision measurements of the Higgs couplings at the International linear collider.

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Back up

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Future plan

• To search for the parameter region that can realize the

baryon asymmetry (sufficient CP-violation and strongly 1st

• rder phase transition)
• To consider the verification using the collider experiments

and the interferometers of the gravitational wave

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Condition for the baryogenesis

Sakharov conditions: Conditions to realize the baryon asymmetry from the symmetric universe.

① B (baryon number) violation ② C and CP violation ③ Departure from equilibrium Sakharov conditions (1967)

• ① is necessary.
• Without ② ,

𝑌 → 𝑍 (＋B) 𝑌 D → 𝑍 D ( - B) both processes have the same probability.

• Without ③ , B number becomes zero

by the reversal process (equilibrium).

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CP transformation

• Parity

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• Charge conjugation

[M. E. Peskin and D. V. Schroeder]

• CP transformation

21th Regular Meeting of New Higgs Working Group

• CP violating case( ),

Analysis in 2HDM with softly broken 𝒂𝟑

22

• CP conserving case( ), for the mixing states ,
• Parameters in this model

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21th Regular Meeting of New Higgs Working Group

Analysis in 2HDM with softly broken 𝒂𝟑

300 200 150 250

0.01 0.05 0.10 0.50 1 150 200 250 300 λ

𝟐𝟏F𝟑 𝟐𝟏F𝟐 𝟐

ー : tan 𝛾 =2

• -- : tan 𝛾 =5

… : tan 𝛾 =10

When is small,

23

• Mass dimensional parameters

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21th Regular Meeting of New Higgs Working Group

Electric dipole moment and CP violation

24

𝐶 𝐶 𝐹 𝐹 𝑒J<8.7×10F/L [e cm] [PDG(2017)] From measurements the frequency of the precession in the electromagnetic field, 𝑒M<2.1×10F/? [e cm] 𝑒N<3.0×10F/O [e cm]

ℎΔ𝜉 =

Electric dipole moment: Magnetic Dipole moment: T violation CP violation (CPT theorem) Time reversal: T 2017/12/23

21th Regular Meeting of New Higgs Working Group

Baryon asymmetry of the universe

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Observational evidence [PDG (2016)] 2017/12/23 Baryon number must be generated before the nucleosynthesis era. Ø A theory need to satisfy Sakharov conditions(1967) for the baryogenesis. Baryon number density Anti-baryon number density Photon number density

21th Regular Meeting of New Higgs Working Group