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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.
โ It is important to determine the shape of the Higgs sector.
ฮฆ+ฮฆ+โฆฮฆ+ S
ฮฆ + ฮ
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
โข In extended Higgs models, new scalarstates are predicted.
โข Additional Higgs bosons are searched directly by collider exp..
โข We have observables for the 125 GeV Higgs boson โ.(Higgs couplings, decay rates, โฆ)
โข Effects of additional Higgs bosons are indirectly examined though Higgs observables.
โ๐ป, ๐ด, ๐ปยฑ, ๐ปยฑยฑ,โฆAdditional Higgs bosons
ฮฆ+ฮฆ+โฆฮฆ+ S
ฮฆ + ฮ
โ๐๐ : Higgs boson couplings
ฮ(โ โ ๐๐) : Decay rates
๐(๐๐ โ โ) : production cross section
3/16
Test of the Higgs sectorDirect search Indirect search
โข In extended Higgs models, new scalarstates are predicted.
โข Additional Higgs bosons are searched directly by collider exp..
โข We have observables for the 125 GeV Higgs boson โ.(Higgs couplings, decay rates, โฆ)
โข Effects of additional Higgs bosons are indirectly examined though Higgs observables.
โ๐ป, ๐ด, ๐ปยฑ, ๐ปยฑยฑ,โฆAdditional Higgs bosons
ฮฆ+ฮฆ+โฆฮฆ+ S
ฮฆ + ฮ
โ๐๐ : Higgs boson couplings
ฮ(โ โ ๐๐) : Decay rates
๐(๐๐ โ โ) : 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 )
โข At the HL-LHC and the ILC, the Higgs coup. will be measured with better accuracy .
โข We should perform calculations including radiative corrections.
scaling factor: ๐ 4 = ๐74489:. ๐744;<โ
4/16
[K. Fujii, et al., arXiv:1710.07621]
H-COUP projectโข 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
๏ฟฝฬhhh<latexit sha1_base64="LwobbPzJfztxHxMgLB9xfvI6IE0=">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</latexit><latexit sha1_base64="LwobbPzJfztxHxMgLB9xfvI6IE0=">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</latexit><latexit sha1_base64="LwobbPzJfztxHxMgLB9xfvI6IE0=">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</latexit><latexit sha1_base64="LwobbPzJfztxHxMgLB9xfvI6IE0=">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</latexit>
,
, Loop induced Higgs decay rates (โ โ ๐พ๐พ, โ โ ๐๐พ, โ โ ๐๐)
,
,
ร
โข 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
โข We should directly evaluate observables for the Higgs boson. โ
ฮ โ โ ๐๐ , ฮ โ โ ๐๐โ โ ๐๐๐ , ฮ โ โ ๐พ๐พ , ฮ โ โ ๐๐พ ,ฮ โ โ ๐๐
EX.)โ โ ๐๐
, These form factors are calculated by H-COUP ver.1.0.
,
ฮ๐ :Weakcorrectionto๐บD
withexp.dataoftheHiggscouplinginthefuturecolliderexperiments,
vertces,
โข 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
โ With H-COUP, we calculated 1-loop corrected Higgs decay rates,which are gauge invariant quantities :
In this talk
โข We discuss whether or not these model can be distinguished by deviations from the SM in the decay widths.
8/16
โโข We focus on below models:
HSM, THDM Type-I, THDM Type-II, THDM Type-X, THDM Type-Y
โข We also show that information of mass of additional Higgs bosons can be obtained if we observe some deviations.
Extended Higgs models
mF,mG,mFยฑ, ๐ผ, ๐ฝ,๐KFree parameters
Higgs sector
๐ทM + ๐ทK
๐ทN =๐คP
1/ 2๏ฟฝ (๐ฃ + โP + ๐๐งP)
mF, ๐ผ,๐YK, ๐;๐;
Physical states โ,๐ปโ,๐ป, ๐ด, ๐ปยฑ
HSMTHDMs Type I, II, X, Y
S = v] + s
๐ท + ๐
( h : 125 GeV Higgs)
(Softly broken Z2 Sym., CP conserved)
(i =1,2)
9/16
Higgs coup.
๏ฟฝS,treehff = ๏ฟฝmf
vcโต
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<latexit sha1_base64="CcLXYm8R4gd8s/ujsy32/44BtI4=">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</latexit>
๏ฟฝ1,treehV V = ๏ฟฝ2m2
V
vs๏ฟฝ๏ฟฝโต
<latexit sha1_base64="vMKE9/CldQFOxctkUKoY8DRP8cc=">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</latexit><latexit sha1_base64="vMKE9/CldQFOxctkUKoY8DRP8cc=">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</latexit><latexit sha1_base64="vMKE9/CldQFOxctkUKoY8DRP8cc=">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</latexit><latexit sha1_base64="vMKE9/CldQFOxctkUKoY8DRP8cc=">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</latexit>
๏ฟฝ1,treehV V = ๏ฟฝ2m2
V
vcโต
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, ,
Numerical results (Tree)ฮ๐ h โ ๐๐ =
ฮ h โ ๐๐ b4ฮ h โ ๐๐ ;<
โ 1
10/16
For THDMs : ๐ก๐๐๐ฝ = 1
๐ก๐๐๐ฝ = 3
๐ก๐๐๐ฝ = 1,3
๐ก๐๐๐ฝ = 1
๐ก๐๐๐ฝ = 3
๐ก๐๐๐ฝ = 1,3
sin ๐ฝ โ ๐ผ =
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.]
๏ฟฝR(h ! f ยฏf)LO= (sin(๏ฟฝ ๏ฟฝ โต)๏ฟฝ โ f cos(๏ฟฝ ๏ฟฝ โต))2 ๏ฟฝ 1
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Numerical calculations (1-loop)11/16
โ
โข Constraint : Perturbative unitarity,
S, T parameters
Wrong vacuum condition (for HSM),
โข Scan region of input parameters in the THDMs : 0.95 < sin ๐ฝ โ ๐ผ < 1, 1 < ๐ก๐๐๐ฝ < 3,
๐n = 400, 700, 1000,1500,2000GeV,0 < ๐ < ๐n
Vacuum stability,
๐n = ๐q = ๐r = ๐qยฑ ,
โข Scan region for the HSM :
0.95 < cos ๐ผ < 1,๐n = 500, 1000, 2000,3000,5000GeV,0 < ๐Y < ๐n, ๐Y = ๐Y = 0
๐ซ๐(๐ก โ ๐๏ฟฝฬ ๏ฟฝ) vs ๐ซ๐(๐ก โ ๐๐{)12/16
ฮ๐ h โ ๐๐ =ฮ h โ ๐๐ b4ฮ h โ ๐๐ ;<
โ 1
็ดซ400GeVใใใกใใฃใจๆใใปใใใใ
[S.Kanemura,M.Kikuchi,K.Mawatari,KS,K.Yagyu,]
2TeV1.5TeV
1TeV
700GeV
400GeV
ใปBlack line : predictions in the tree level (๐ก๐๐๐ฝ = 1,3).
ใปColor plots : predictions at the 1-loop level for each model
ใปContrast of color : values of extra Higgs boson mass HSM
โ The upper bounds of mass of extra Higgs can be obtained from magnitude of deviations.
โ Even if we include loop corrections in the calculation, pattern of deviations are almost unchanged from the result at the tree level .
๐ซ๐(๐ก โ ๐๏ฟฝฬ ๏ฟฝ) vs ๐ซ๐(๐ก โ ๐๐{)
โ Type X and Y can be discriminated from other models.
13/16
ฮ๐ h โ ๐๐ =ฮ h โ ๐๐ b4ฮ h โ ๐๐ ;<
โ 1
็ดซ400GeVใใใกใใฃใจๆใใปใใใใ
[S.Kanemura,M.Kikuchi,K.Mawatari,KS,K.Yagyu]
HSM
2TeV1.5TeV
1TeV
700GeV
400GeV
๐ซ๐ ๐ก โ ๐๐{ vs ๐ซ๐ ๐ก โ ๐๐{
โ 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
ฮ๐ h โ ๐๐ =ฮ h โ ๐๐ b4ฮ h โ ๐๐ ;<
โ 1
๐ซ๐(๐ก โ ๐๐โ) vs ๐ซ๐(๐ก โ ๐๐{)
โ HSM can be separated from the THDMs.
15/16
โ Type I and Type II can be discriminated in this plane.
ฮ๐ h โ ๐๐ =ฮ h โ ๐๐ b4ฮ h โ ๐๐ ;<
โ 1[S.Kanemura,M.Kikuchi,K.Mawatari,KS,K.Yagyu]
Byinvestigatingvariouscorrelationsofdeviations,wecandistinguishallthemodels
2TeV1.5TeV
1TeV
700GeV
400GeV
500GeV1TeV
2TeV3TeV
5TeV
Summary
โ Pattern of deviations : HSM and 4 types of THDMs can be discriminated.
โ 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 h๐๐ hVV hhh hgg h๐ธ๐ธ hZ๐พ
HSM โ โ โ โ โ โ โ โ
Type-I โ โ โ โ โ โ โ โ
Type-II โ โ โ โ โ โ โ โ
Type-X โ โ โ โ โ โ โ โ
Type-Y โ โ โ โ โ โ โ โ
IDM โ โ โ โ โ โ โ โ
HTM โ โ โ โ โ
[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)]
ใทใณใใฌในใใช7็จฎ้กใฎๆกๅผตใใใฐในๆจกๅใซใใใใใใฐใน็ตๅๅฎๆฐใ1ใซใผใใฌใใซใง่ฉไพกใใ
( THDM )
( THDM )
( THDM )
( THDM )
HSM : Higgs Singlet Model,
IDM : Inert Doublet Model,
๐ท + ๐ (singlet)
๐ท + ๐ (doublet) with exact ๐KTHDM : Two Higgs doublet Model, ๐ท +ฮฆ (doublet) with softly broken ๐K
[Aoki,Kanemura,Kikuchi,Yagyu,PLB714(2012)][Aoki,Kanemura,Kikuchi,Yagyu,PRD87(2013)]
HTM : Higgs Tripret Model, ๐ท + ฮ (triplet)
H-COUP project