Precision calculations of Higgs decay rates in various extended Higgs models

Kodai Sakurai (Osaka Univ. / Univ. of Toyama )

Shinya Kanemura ( Osaka Univ. )Mariko Kikuchi ( Kitakyusyu College )Kentarou Mawatari ( Osaka Univ. )Kei Yagyu ( Seikei Univ.)

Collaborators:

May. 11th NHWG2018

BasedonarXiv:1803.04156[hep-ph]

Introduction

l On the other hand, structure of the Higgs sector is still unknown.

l Current exp. data for the discovered Higgs boson are consistent with the Standard Model (SM).

- Number of Higgs, its multiplets- Symmetry of the Higgs potential- Nature of the Higgs boson (elementary or composite )- etc.

l Shape of the Higgs sector is closely related to new physics.

→ It is important to determine the shape of the Higgs sector.

Φ+Φ+…Φ+ S

Φ + Δ

MSSM,Composite Higgs, DM,

Radiative Seesaw,

Electroweak baryogenesis,

Extended Higgs sectorsNew physics models

etc.

Type-IIseesaw,

2/16

Test of the Higgs sectorDirect search Indirect search

• In extended Higgs models, new scalarstates are predicted.

• Additional Higgs bosons are searched directly by collider exp..

• We have observables for the 125 GeV Higgs boson ℎ.(Higgs couplings, decay rates, …)

• Effects of additional Higgs bosons are indirectly examined though Higgs observables.

∈𝐻, 𝐴, 𝐻±, 𝐻±±,…Additional Higgs bosons

Φ+Φ+…Φ+ S

Φ + Δ

ℎ𝑋𝑋 : Higgs boson couplings

Γ(ℎ → 𝑋𝑋) : Decay rates

𝜎(𝑋𝑋 → ℎ) : production cross section

3/16

Test of the Higgs sectorDirect search Indirect search

• In extended Higgs models, new scalarstates are predicted.

• Additional Higgs bosons are searched directly by collider exp..

• We have observables for the 125 GeV Higgs boson ℎ.(Higgs couplings, decay rates, …)

• Effects of additional Higgs bosons are indirectly examined though Higgs observables.

∈𝐻, 𝐴, 𝐻±, 𝐻±±,…Additional Higgs bosons

Φ+Φ+…Φ+ S

Φ + Δ

ℎ𝑋𝑋 : Higgs boson couplings

Γ(ℎ → 𝑋𝑋) : Decay rates

𝜎(𝑋𝑋 → ℎ) : production cross section

We focus on indirect search with the Higgs observables

3/16

Measurement accuracy of the Higgs couplings

[ATLAS and CMS, JHEP08(2016)045]

Current data (LHC Run I) Future prospect (HL-LHC, ILC )

• At the HL-LHC and the ILC, the Higgs coup. will be measured with better accuracy .

• We should perform calculations including radiative corrections.

scaling factor: 𝜅4 = 𝑔74489:. 𝑔744;<⁄

4/16

[K. Fujii, et al., arXiv:1710.07621]

H-COUP project• We calculated renormalized 3 point vertex functions for the

Higgs bosons in various extended Higgs models:

HSM, 4 types of THDMs ( Type-I, Type-II, Type X, Type Y ), IDM

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,

, Loop induced Higgs decay rates (ℎ → 𝛾𝛾, ℎ → 𝑍𝛾, ℎ → 𝑔𝑔)

,

,

×

• H-COUP ver.1.0 was released last Oct.[S.Kanemura,M.Kikuchi,KS,K.Yagyu arXiv:1710.04603]

5/16

6/16

[http://www-het.phys.sci.osaka-u.ac.jp/~kanemu/HCOUP_HP1013/HCOUP_HP.html ]

Application of H-COUP ver. 1.0

• We should directly evaluate observables for the Higgs boson. →

Γ ℎ → 𝑓𝑓 , Γ ℎ → 𝑍𝑍∗ → 𝑍𝑓𝑓 , Γ ℎ → 𝛾𝛾 , Γ ℎ → 𝑍𝛾 ,Γ ℎ → 𝑔𝑔

EX.)ℎ → 𝑓𝑓

, These form factors are calculated by H-COUP ver.1.0.

,

Δ𝑟 :Weakcorrectionto𝐺D

withexp.dataoftheHiggscouplinginthefuturecolliderexperiments,

vertces,

• If we try to compare loop corrected theoretical predictions with exp. data of the Higgs coupling in the future collider exp., it is not clear how we define the scaling factor for the Higgs coupling.

7/16

→ With H-COUP, we calculated 1-loop corrected Higgs decay rates,which are gauge invariant quantities :

In this talk

• We discuss whether or not these model can be distinguished by deviations from the SM in the decay widths.

8/16

→• We focus on below models:

HSM, THDM Type-I, THDM Type-II, THDM Type-X, THDM Type-Y

• We also show that information of mass of additional Higgs bosons can be obtained if we observe some deviations.

Extended Higgs models

mF,mG,mF±, 𝛼, 𝛽,𝑀KFree parameters

Higgs sector

𝛷M + 𝛷K

𝛷N =𝑤P

1/ 2� (𝑣 + ℎP + 𝑖𝑧P)

mF, 𝛼,𝑚YK, 𝜆;𝜇;

Physical states ℎ,𝐻ℎ,𝐻, 𝐴, 𝐻±

HSMTHDMs Type I, II, X, Y

S = v] + s

𝛷 + 𝑆

( h : 125 GeV Higgs)

(Softly broken Z2 Sym., CP conserved)

(i =1,2)

9/16

Higgs coup.

�S,treehff = �mf

vc↵

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<latexit sha1_base64="CcLXYm8R4gd8s/ujsy32/44BtI4=">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</latexit>

�1,treehV V = �2m2

V

vs��↵

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�1,treehV V = �2m2

V

vc↵

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, ,

Numerical results (Tree)Δ𝑅 h → 𝑋𝑋 =

Γ h → 𝑋𝑋 b4Γ h → 𝑋𝑋 ;<

− 1

10/16

For THDMs : 𝑡𝑎𝑛𝛽 = 1

𝑡𝑎𝑛𝛽 = 3

𝑡𝑎𝑛𝛽 = 1,3

𝑡𝑎𝑛𝛽 = 1

𝑡𝑎𝑛𝛽 = 3

𝑡𝑎𝑛𝛽 = 1,3

sin 𝛽 − 𝛼 =

1

0.9950.99

0.98

0.95

0.9950.99

0.98

0.95

[S.Kanemura, K.Tsumura, K.Yagyu, H.Yokoya,PRD90 (2014)075001.]

�R(h ! f ¯f)LO= (sin(� � ↵)� ⇠f cos(� � ↵))2 � 1

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Numerical calculations (1-loop)11/16

→

• Constraint : Perturbative unitarity,

S, T parameters

Wrong vacuum condition (for HSM),

• Scan region of input parameters in the THDMs : 0.95 < sin 𝛽 − 𝛼 < 1, 1 < 𝑡𝑎𝑛𝛽 < 3,

𝑚n = 400, 700, 1000,1500,2000GeV,0 < 𝑀 < 𝑚n

Vacuum stability,

𝑚n = 𝑚q = 𝑚r = 𝑚q± ,

• Scan region for the HSM :

0.95 < cos 𝛼 < 1,𝑚n = 500, 1000, 2000,3000,5000GeV,0 < 𝑚Y < 𝑚n, 𝜆Y = 𝜇Y = 0

𝚫𝐑(𝐡 → 𝐛�̅�) vs 𝚫𝐑(𝐡 → 𝛕𝛕{)12/16

Δ𝑅 h → 𝑋𝑋 =Γ h → 𝑋𝑋 b4Γ h → 𝑋𝑋 ;<

− 1

紫400GeVもうちょっと暗いほうがよい

[S.Kanemura,M.Kikuchi,K.Mawatari,KS,K.Yagyu,]

2TeV1.5TeV

1TeV

700GeV

400GeV

・Black line : predictions in the tree level (𝑡𝑎𝑛𝛽 = 1,3).

・Color plots : predictions at the 1-loop level for each model

・Contrast of color : values of extra Higgs boson mass HSM

→ The upper bounds of mass of extra Higgs can be obtained from magnitude of deviations.

→ Even if we include loop corrections in the calculation, pattern of deviations are almost unchanged from the result at the tree level .

𝚫𝐑(𝐡 → 𝐛�̅�) vs 𝚫𝐑(𝐡 → 𝛕𝛕{)

→ Type X and Y can be discriminated from other models.

13/16

Δ𝑅 h → 𝑋𝑋 =Γ h → 𝑋𝑋 b4Γ h → 𝑋𝑋 ;<

− 1

紫400GeVもうちょっと暗いほうがよい

[S.Kanemura,M.Kikuchi,K.Mawatari,KS,K.Yagyu]

HSM

2TeV1.5TeV

1TeV

700GeV

400GeV

𝚫𝐑 𝐡 → 𝐜𝒄{ vs 𝚫𝐑 𝐡 → 𝛕𝝉{

→ Type I and Type II can be discriminated in this plane.

[S.Kanemura,M.Kikuchi,K.Mawatari,KS,K.Yagyu]

14/16

2TeV1.5TeV

1TeV

700GeV

400GeV

Δ𝑅 h → 𝑋𝑋 =Γ h → 𝑋𝑋 b4Γ h → 𝑋𝑋 ;<

− 1

𝚫𝐑(𝐡 → 𝐙𝐙∗) vs 𝚫𝐑(𝐡 → 𝛕𝛕{)

→ HSM can be separated from the THDMs.

15/16

→ Type I and Type II can be discriminated in this plane.

Δ𝑅 h → 𝑋𝑋 =Γ h → 𝑋𝑋 b4Γ h → 𝑋𝑋 ;<

− 1[S.Kanemura,M.Kikuchi,K.Mawatari,KS,K.Yagyu]

Byinvestigatingvariouscorrelationsofdeviations,wecandistinguishallthemodels

2TeV1.5TeV

1TeV

700GeV

400GeV

500GeV1TeV

2TeV3TeV

5TeV

Summary

→ Pattern of deviations : HSM and 4 types of THDMs can be discriminated.

→ Magnitude of deviation : Information of the mass of extra Higgs boson can be obtained.

l Higgs sector can be thoroughly tested by precision measurement of the Higgs observables.

l We discussed a possibility of discrimination among HSM and 4 types of the THDMs with the deviations from the SM.

l We calculated the Higgs decay widths at the 1-loop levelby using H-COUP ver. 1.0.

16/16

htt hbb h𝝉𝝉 hVV hhh hgg h𝜸𝜸 hZ𝛾

HSM ✔ ✔ ✔ ✔ ✔ ✔ ✔ ✔

Type-I ✔ ✔ ✔ ✔ ✔ ✔ ✔ ✔

Type-II ✔ ✔ ✔ ✔ ✔ ✔ ✔ ✔

Type-X ✔ ✔ ✔ ✔ ✔ ✔ ✔ ✔

Type-Y ✔ ✔ ✔ ✔ ✔ ✔ ✔ ✔

IDM ✔ ✔ ✔ ✔ ✔ ✔ ✔ ✔

HTM ✔ ✔ ✔ ✔ ✔

[Kanemura,Kikuchi,Yagyu,NPB907(2016)][Kanemura,Kikuchi,Yagyu,NPB917(2017)]

[Kanemura,Okada,Senaha,Yuan,PRD70(2004)]

[Kanemura,Kikuchi,Yagyu,PLB731(2014)]

[Kanemura,Kikuchi,Yagyu,NPB96(2015)]

[Kanemura,Kikuchi,KS,PRD94(2015)]

シンプレストな7種類の拡張ヒッグス模型におけるヒッグス結合定数を1ループレベルで評価した

( THDM )

( THDM )

( THDM )

( THDM )

HSM : Higgs Singlet Model,

IDM : Inert Doublet Model,

𝛷 + 𝑆 (singlet)

𝛷 + 𝜂 (doublet) with exact 𝑍KTHDM : Two Higgs doublet Model, 𝛷 +Φ (doublet) with softly broken 𝑍K

[Aoki,Kanemura,Kikuchi,Yagyu,PLB714(2012)][Aoki,Kanemura,Kikuchi,Yagyu,PRD87(2013)]

HTM : Higgs Tripret Model, 𝛷 + Δ (triplet)

H-COUP project