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 Mitsunori Kubota In collaboration with M. Aoki, D. Kaneko, S. Kanemura, K. Hashino [In preparation] 2017/12/23 21th Regular Meeting of New Higgs Working Group

Contents • Introduction • CP-violation and baryogenesis • Two Higgs doublet model with CP-violation • Indirect search of CP-violation • Summary 2017/12/23 2 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. However, the structure of the Higgs sector is not distinct. In the SM, • Beyond the SM phenomena • Neutrino mass is zero. • Neutrino oscillation • No candidate of dark matter. • Existence of dark matter • Sakharov conditions • Baryon asymmetry of the universe (1967) cannot be satisfied. Ø Some extension is required. Ø The extended Higgs sector is a good candidate for solving these problems. 2017/12/23 3 21th Regular Meeting of New Higgs Working Group

Baryon asymmetry of the universe Observational evidence Anti-baryon number density Baryon number density Photon number density Baryon number must be generated before the nucleosynthesis era. Ø A theory needs to satisfy Sakharov conditions (1967) for the baryogenesis. 2017/12/23 4 21th Regular Meeting of New Higgs Working Group

Condition for baryogenesis [Kuzmin, Rubakov and For example, Sakharov conditions (1967) Shaposhnikov (1985)] Electroweak baryogenesis ① B (baryon number) violation ② C and CP violation ① -> Sphaleron process ③ Departure from equilibrium ② -> Extended Higgs sector ③ -> Strongly 1 st order phase transition In the SM, • CP-violation by Kobayashi-Maskawa phase (1973) is quantitatively not sufficient. [Farrar and Shaposhnikov (1994)] • Strongly 1 st order phase transition cannot occur. [Kajantie, Laine, Rummukainen and Shaposhnikov (1996)] Ø To explain BAU, we consider the extended Higgs model with CP-violation. 2017/12/23 5 21th Regular Meeting of New Higgs Working Group

Extended Higgs model with CP violation • Test of the extended Higgs model • Direct search … Discovery of the new particle • Indirect search … Detection of the deviation 𝐼, 𝐵 : New particles from SM prediction Higgs couplings depend on the structure of the Higgs sector. • Two Higgs doublet model (2HDM) 𝐽 = 1 2 , 𝑍 = 1 [T. D. Lee, Phys. Rev. D8, 1226 (1973)] 2 • Simple extension from SM • Strongly 1 st order phase transition can occur. • New CP-violation source can be included. Ø We analyze the deviations of the Higgs couplings from SM on CP-conserving case and CP-violating case of the 2HDM. 2017/12/23 6 21th Regular Meeting of New Higgs Working Group

Test using the Higgs couplings [S. Kanemura, K. Tumura, K. Yagyu and H. Yokoya, Phys. Rev. D 90, 075001 (2014)] • For example, in 2HDM( CPC ), 2.0 3 cos ( β - α ) ≤ 0 8 If we can detect the deviation pattern 1.8 Type - Y of the Higgs couplings, we can get the 2 1.6 information of the Higgs sector. 5 Type - II 1.4 3 1 m h = 125 GeV ˜ m H = 200 GeV 2 ˜ κ d 0.90 m H ± = m A = 250 GeV 0.90 1.2 0.95 1 0.95 0.99 0.99 1.0 1.0 Type - I 3 0.99 0.99 2 0.8 3 2 0.95 0.95 1 Type - X 0.6 0.90 κ v 2 = 0.90, tan β = 1 0.6 0.8 1.0 1.2 1.4 1.6 1.8 2.0 1.0 [ 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” ] κ 2017/12/23 7 21th Regular Meeting of New Higgs Working Group

2HDM and 𝒂 𝟑 symmetry (CPV) • Potential of 2HDM (most general) • The 𝑎 / symmetry is imposed to avoid the flavor changing neutral current at the tree level. [S. L. Glashow and S. Weinberg, Phys. Rev. D 15, 1958 (1977)] 𝑎 / charge assignment of each type s 𝛎 𝛠 𝟏 : neutral scalar 𝛠 𝟏 𝛎 d [M. Aoki, S. Kanemura, K. Tsumura and K. Yagyu, Phys. Rev. D80, 015017 (2009)] 2017/12/23 8 21th Regular Meeting of New Higgs Working Group

2HDM and 𝒂 𝟑 symmetry (CPV) • Potential of 2HDM (most general) • The 𝑎 / symmetry is imposed to avoid the flavor changing neutral current at the tree level. [S. L. Glashow and S. Weinberg, Phys. Rev. D 15, 1958 (1977)] For example, in the type-II 𝑎 / charge assignment of each type 𝑎 / charge : + + + + − + s 𝛎 𝛠 𝟏 : neutral scalar 𝛠 𝟏 𝛎 d [M. Aoki, S. Kanemura, K. Tsumura and K. Yagyu, Phys. Rev. D80, 015017 (2009)] 2017/12/23 9 21th Regular Meeting of New Higgs Working Group

2HDM with softly broken 𝒂 𝟑 (CPV) [H. Georgi, Hadr. J. 1, 155 (1978)] • Potential of 2HDM with softly broken 𝑎 / • Vacuum expectation value Stationary conditions The redefinition of the phases in the fields can get 𝜊 to disappear. • Parameters in this model CP-violation relates to this parameter 2017/12/23 10 21th Regular Meeting of New Higgs Working Group

Higgs couplings Rotation of the base In 2HDM with softly broken 𝑎 / ( CPV ), ℎ : Higgs (125GeV) • Couplings to the fermions • Couplings to the gauge bosons Mass eigenstates • Ratio of the decay rate of Higgs 2017/12/23 11

Higgs couplings Ratio of decay rate 2.0 ▲ ▲ 2.00 ● : Im(𝜇 ? ) =0.00 + + ＋ : Im(𝜇 ? ) =0.10 + + * * • For the couplings to the fermions * * 1.8 ★ : Im(𝜇 ? ) =0.15 1.75 ▲ ▲ ▲ ▲ ▲ : Im(𝜇 ? ) =0.20 1.6 + + + + + * * * 1.50 ▲ ▲ * * + * ▲ ▲ 1.4 + + ▲ ▲ * * Type-II ▲ ▲ • For the couplings to the gauge bosons 1.25 + + 1.2 * * Type-Y -> ▲ ▲ 1.00 1.0 SM + * + * * + + * ▲ * ▲ ▲ ▲▲ + ▲ ▲ + * ▲ ▲ + * * + * + ▲ + ▲ * * ** + * ▲ ▲ ▲ * + ▲ ▲ + + * ▲ + * ▲ + * + * + * ▲ ▲ ▲ * * *** + ▲ + * ▲ + ▲ + + + * + * ▲ ▲ + * ▲ * + + * ▲▲ ▲ ▲ ++ ▲ + * * ** + ▲ ▲ * *** * + ▲ ▲ * ++ ▲▲ + + ▲▲ 0.8 + + + + ▲ 0.75 ▲ ▲ ▲ * * + + ▲ Type-X ▲ Type-I 0.6 * * + + ▲ * 0.50 1.25 1.50 2.00 0.50 0.75 1.00 1.75 -> τ τ 2017/12/23 12 [M. Aoki, D. Kaneko S. Kanemura , K. Hashino, MK, in preparation]

Higgs couplings Ratio of decay rate 1.0 1.00 SM * + + * ▲ + * ▲ ▲ + ▲ * ▲ ▲ * + ▲ * ▲ + • For the couplings to the fermions + * ▲ * ▲ + * + ▲ + * ▲ ▲ ▲ * ▲ ▲ + ** * ▲ Type-I,-Y + + + * ▲ + * ▲ 0.90 0.9 + * * ▲ + ▲ * + * ▲ * + ▲ ▲ ** + * + + + ▲ + * ▲ + * ▲ + * ▲ * + ▲ ▲ + * ▲ + + * ▲ * ▲ + * * ** + ▲ ▲ ▲ h -> c cbar ▲ * * * ▲ + + 0.80 0.8 + + + + ▲ * + ▲ ▲ • For the couplings to the gauge bosons * + ▲ ▲ ▲ 0.70 0.7 * + * * + + ● : Im(𝜇 ? ) =0.00 ▲ ▲ 0.60 0.6 ＋ : Im(𝜇 ? ) =0.10 * * ★ : Im(𝜇 ? ) =0.15 + + Type-II,-X ▲ : Im(𝜇 ? ) =0.20 ▲ * 0.50 0.5 1.25 1.50 2.00 0.50 0.75 1.00 1.75 -> τ τ 2017/12/23 13 [M. Aoki, D. Kaneko S. Kanemura , K. Hashino, MK, in preparation]

Higgs couplings ILC=International linear collider [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” ] CPV CPV CPV !"($ % ) =0.10 !"($ % ) =0.20 !"($ % ) =0.15 1 1 1.0 �� ▲ • For the couplings to the fermions ▲ * ▲ ▲ * + 0.9 0.90 * + CPC ILC250 * !"($ % ) =0 ▲ * 0.80 0.8 + + • For the couplings to the gauge bosons ▲ * + -> ▲ ▲ 0.70 0.7 * + � �� Im() * ) � � � ▲ 0.60 0.6 � �� Im() * ) � �� � • Parameters in this model * Type-X � �� Im() * ) � ���� + � �� Im() * ) � �� � ▲ 0.50 * 0.5 1.0 1.2 1.4 1.6 1.8 2.0 2.2 2.20 1 1.20 1.40 1.60 1.80 2.00 -> τ τ 2017/12/23 14 [M. Aoki, D. Kaneko S. Kanemura , K. Hashino, MK, in preparation]

Higgs couplings ILC=International linear collider [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” ] CPV CPV CPV !"($ % ) =0.10 !"($ % ) =0.20 !"($ % ) =0.15 1 1.0 1 �� ▲ • For the couplings to the fermions ▲ * ▲ ▲ * + 0.9 0.90 * + CPC ILC250 * !"($ % ) =0 ▲ * 0.80 0.8 + + • For the couplings to the gauge bosons ▲ * + -> ▲ ▲ 0.70 0.7 * + � �� Im() * ) � � � ▲ 0.60 0.6 � �� Im() * ) � �� � • Parameters in this model * Type-X Type-II,-X � �� Im() * ) � ���� + � �� Im() * ) � �� � ▲ 0.50 * 0.5 1.0 1.2 1.4 1.6 1.8 2.0 2.2 1.60 2.00 2.20 1 1.20 1.40 1.80 h -> τ τ bar 2017/12/23 15 [M. Aoki, D. Kaneko S. Kanemura , K. Hashino, MK, in preparation]