multi-higgs boson production and higgs couplings to the sm · sppc). a new quest to the mystery...

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Multi-Higgs boson production and Higgs couplings to the SM 晏启树, UCAS In collaboration with Kilian Wolfgang, Sichun Sun, Xiaoran Zhao, Zhijie Zhao, 粒⼦物理前沿问题研讨会(⼲州), 2125/January/2019

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Page 1: Multi-Higgs boson production and Higgs couplings to the SM · SPPC). A new quest to the mystery just began. A schematic view to EFT with a Hggs boson SM A few TeV 100~200 GeV EFT

Multi-HiggsbosonproductionandHiggscouplingstotheSM

晏启树,UCASIncollaborationwith

KilianWolfgang,SichunSun,XiaoranZhao,ZhijieZhao,粒⼦物理前沿问题研讨会(⼲州),21-25/January/2019

Page 2: Multi-Higgs boson production and Higgs couplings to the SM · SPPC). A new quest to the mystery just began. A schematic view to EFT with a Hggs boson SM A few TeV 100~200 GeV EFT

Outline

• Introduction• EWHiggsinteractionsintheEFT• PerturbativeUnitarityconstraint• VBFHiggsbosonsproductionintheEFT• Conclusion

arXiv:1808.05534

Page 3: Multi-Higgs boson production and Higgs couplings to the SM · SPPC). A new quest to the mystery just began. A schematic view to EFT with a Hggs boson SM A few TeV 100~200 GeV EFT

ThoseweknowaboutHiggsBoson

Production,decay,quantumcorrections,…AgreementwiththeSM,but…

Page 4: Multi-Higgs boson production and Higgs couplings to the SM · SPPC). A new quest to the mystery just began. A schematic view to EFT with a Hggs boson SM A few TeV 100~200 GeV EFT

Thosewedonotknowuptonow

Page 5: Multi-Higgs boson production and Higgs couplings to the SM · SPPC). A new quest to the mystery just began. A schematic view to EFT with a Hggs boson SM A few TeV 100~200 GeV EFT

QuestionstotheHiggsboson

• What’stheoriginofHiggsboson’smass?• Isitcompositeorfundamental?• What’stheshapeofHiggspotential?• HowisEWsymmetrybroken?• WhetherthereisonlyoneHiggsboson?• CanEWbaryongensiswork?• …

Page 6: Multi-Higgs boson production and Higgs couplings to the SM · SPPC). A new quest to the mystery just began. A schematic view to EFT with a Hggs boson SM A few TeV 100~200 GeV EFT

Fundamental? Composite?

ToresolvethefinestructureofHiggsboson,moremeasurementsattheLHC,highprecisionandhighenergymachinesareneeded(Higgsfactory,ILC,FCC-ee/pp,CEPC/SPPC).Anewquesttothemysteryjustbegan.

Page 7: Multi-Higgs boson production and Higgs couplings to the SM · SPPC). A new quest to the mystery just began. A schematic view to EFT with a Hggs boson SM A few TeV 100~200 GeV EFT

AschematicviewtoEFTwithaHggsboson

SM

AfewTeV

100~200GeV

EFTwithAHiggs

Composite,SUSY,orothers

E

Bottom-upapproachModel-indepdent

Page 8: Multi-Higgs boson production and Higgs couplings to the SM · SPPC). A new quest to the mystery just began. A schematic view to EFT with a Hggs boson SM A few TeV 100~200 GeV EFT
Page 9: Multi-Higgs boson production and Higgs couplings to the SM · SPPC). A new quest to the mystery just began. A schematic view to EFT with a Hggs boson SM A few TeV 100~200 GeV EFT
Page 10: Multi-Higgs boson production and Higgs couplings to the SM · SPPC). A new quest to the mystery just began. A schematic view to EFT with a Hggs boson SM A few TeV 100~200 GeV EFT
Page 11: Multi-Higgs boson production and Higgs couplings to the SM · SPPC). A new quest to the mystery just began. A schematic view to EFT with a Hggs boson SM A few TeV 100~200 GeV EFT

Amodelcorrespondstoaspecificcornerofparameterspace

Page 12: Multi-Higgs boson production and Higgs couplings to the SM · SPPC). A new quest to the mystery just began. A schematic view to EFT with a Hggs boson SM A few TeV 100~200 GeV EFT

3PerturbativeUnitarityConstraint

Page 13: Multi-Higgs boson production and Higgs couplings to the SM · SPPC). A new quest to the mystery just began. A schematic view to EFT with a Hggs boson SM A few TeV 100~200 GeV EFT
Page 14: Multi-Higgs boson production and Higgs couplings to the SM · SPPC). A new quest to the mystery just began. A schematic view to EFT with a Hggs boson SM A few TeV 100~200 GeV EFT
Page 15: Multi-Higgs boson production and Higgs couplings to the SM · SPPC). A new quest to the mystery just began. A schematic view to EFT with a Hggs boson SM A few TeV 100~200 GeV EFT
Page 16: Multi-Higgs boson production and Higgs couplings to the SM · SPPC). A new quest to the mystery just began. A schematic view to EFT with a Hggs boson SM A few TeV 100~200 GeV EFT

4Multi-HiggsbosonfinalstateviaVBFProductions

Page 17: Multi-Higgs boson production and Higgs couplings to the SM · SPPC). A new quest to the mystery just began. A schematic view to EFT with a Hggs boson SM A few TeV 100~200 GeV EFT

ModelImplementinWhizard

ModelImplementinMadgraph

AgreementamongWhizard,Madgraph,andVBFNLOischecked.

Page 18: Multi-Higgs boson production and Higgs couplings to the SM · SPPC). A new quest to the mystery just began. A schematic view to EFT with a Hggs boson SM A few TeV 100~200 GeV EFT
Page 19: Multi-Higgs boson production and Higgs couplings to the SM · SPPC). A new quest to the mystery just began. A schematic view to EFT with a Hggs boson SM A few TeV 100~200 GeV EFT
Page 20: Multi-Higgs boson production and Higgs couplings to the SM · SPPC). A new quest to the mystery just began. A schematic view to EFT with a Hggs boson SM A few TeV 100~200 GeV EFT

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ResultsintheSM:gainswithcollisionenergyincrease

Page 21: Multi-Higgs boson production and Higgs couplings to the SM · SPPC). A new quest to the mystery just began. A schematic view to EFT with a Hggs boson SM A few TeV 100~200 GeV EFT
Page 22: Multi-Higgs boson production and Higgs couplings to the SM · SPPC). A new quest to the mystery just began. A schematic view to EFT with a Hggs boson SM A few TeV 100~200 GeV EFT
Page 23: Multi-Higgs boson production and Higgs couplings to the SM · SPPC). A new quest to the mystery just began. A schematic view to EFT with a Hggs boson SM A few TeV 100~200 GeV EFT

WeassumeotherparameterscanbedeterminedtobeclosetothoseoftheSM

Page 24: Multi-Higgs boson production and Higgs couplings to the SM · SPPC). A new quest to the mystery just began. A schematic view to EFT with a Hggs boson SM A few TeV 100~200 GeV EFT
Page 25: Multi-Higgs boson production and Higgs couplings to the SM · SPPC). A new quest to the mystery just began. A schematic view to EFT with a Hggs boson SM A few TeV 100~200 GeV EFT

[�0.01, 0.01] [�0.01, 0.01]

Page 26: Multi-Higgs boson production and Higgs couplings to the SM · SPPC). A new quest to the mystery just began. A schematic view to EFT with a Hggs boson SM A few TeV 100~200 GeV EFT
Page 27: Multi-Higgs boson production and Higgs couplings to the SM · SPPC). A new quest to the mystery just began. A schematic view to EFT with a Hggs boson SM A few TeV 100~200 GeV EFT

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we can determine trilinear coupling to [0.9,1.2] at a 100 TeV collider with an integrated luminosity 30/ab, similar to a precision!

that ILC (1 TeV, 4/ab) can achieve Q. Li, Z. Li, QY, X.R. Zhao, PRD92(2015)1,014015, arXiv:1503.07611

[-1.4,8.3]

Page 28: Multi-Higgs boson production and Higgs couplings to the SM · SPPC). A new quest to the mystery just began. A schematic view to EFT with a Hggs boson SM A few TeV 100~200 GeV EFT

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[-13,20]

C.Y. Chen,QY, X.R. Zhao, Z.J. Zhao, Y.M. Zhong, PRD93 (2016)1, 013007

Page 29: Multi-Higgs boson production and Higgs couplings to the SM · SPPC). A new quest to the mystery just began. A schematic view to EFT with a Hggs boson SM A few TeV 100~200 GeV EFT

EL for GF Processes(up to O(p6))

At leading order

Page 30: Multi-Higgs boson production and Higgs couplings to the SM · SPPC). A new quest to the mystery just began. A schematic view to EFT with a Hggs boson SM A few TeV 100~200 GeV EFT

[0.99,1.01] [0.9,1.1][-0.1,0.1]

gg ! hh

W. Kilian, S. Sun, X. Zhao, and Z. Zhao, JHEP1706,145(2017)

Effective Couplings at a 100 TeV collider

Page 31: Multi-Higgs boson production and Higgs couplings to the SM · SPPC). A new quest to the mystery just began. A schematic view to EFT with a Hggs boson SM A few TeV 100~200 GeV EFT

Higgs Quartic Couplings at a 100 TeV collider

[-0.8,1.3] [-2.3,1.5] [-13,20]

gg ! hhh

W. Kilian, S. Sun, X. Zhao, and Z. Zhao, JHEP1706,145(2017)

Page 32: Multi-Higgs boson production and Higgs couplings to the SM · SPPC). A new quest to the mystery just began. A schematic view to EFT with a Hggs boson SM A few TeV 100~200 GeV EFT

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Page 33: Multi-Higgs boson production and Higgs couplings to the SM · SPPC). A new quest to the mystery just began. A schematic view to EFT with a Hggs boson SM A few TeV 100~200 GeV EFT

Conclusion

• EFTisamodelindependentwaytodescribenewphysics.

• EFTwithaHiggsbosoncanserveasausefultooltoexplorethepotentialoftheLHCandfuturecolliders.

• HighenergyhadroncollidersandhighprecisionmachinescanofferusthecapabilitytoaddressthefundamentalquestionsabouttheHiggssectorattheTeVscale.

Page 34: Multi-Higgs boson production and Higgs couplings to the SM · SPPC). A new quest to the mystery just began. A schematic view to EFT with a Hggs boson SM A few TeV 100~200 GeV EFT

Backup

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Page 35: Multi-Higgs boson production and Higgs couplings to the SM · SPPC). A new quest to the mystery just began. A schematic view to EFT with a Hggs boson SM A few TeV 100~200 GeV EFT

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F.Bishara,R.Contino,andJ.Rojo,EPJC(2017)77:481

Page 36: Multi-Higgs boson production and Higgs couplings to the SM · SPPC). A new quest to the mystery just began. A schematic view to EFT with a Hggs boson SM A few TeV 100~200 GeV EFT

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F.Bishara,R.Contino,andJ.Rojo,EPJC(2017)77:481

Page 37: Multi-Higgs boson production and Higgs couplings to the SM · SPPC). A new quest to the mystery just began. A schematic view to EFT with a Hggs boson SM A few TeV 100~200 GeV EFT

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Page 38: Multi-Higgs boson production and Higgs couplings to the SM · SPPC). A new quest to the mystery just began. A schematic view to EFT with a Hggs boson SM A few TeV 100~200 GeV EFT

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