Non-resonant Collider Signatures of a Singlet-Driven Electroweak - - PowerPoint PPT Presentation

non resonant collider signatures of a singlet driven
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Non-resonant Collider Signatures of a Singlet-Driven Electroweak - - PowerPoint PPT Presentation

Non-resonant Collider Signatures of a Singlet-Driven Electroweak Phase Transition Chien-Yi Chen University of Victoria / Perimeter Institute C.-Y. C, J. Kozaczuk and I. M. Lewis, 1704.0xxxx ACFI Workshop: Making EWPT


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Non-resonant Collider Signatures of a Singlet-Driven Electroweak Phase Transition

Chien-Yi Chen

University of Victoria / Perimeter Institute

C.-Y. C, J. Kozaczuk and I. M. Lewis, 1704.0xxxx

ACFI Workshop: Making EWPT a

April 7, 2017

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SLIDE 2

Holy grails

[Quigg lecture at the 2004 SLAC Summer Institute. ]

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SLIDE 3

[Quigg lecture at the 2004 SLAC Summer Institute. ]

Holy grails

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SLIDE 4

[Quigg lecture at the 2004 SLAC Summer Institute. ]

Strong indication

  • f new physics

Holy grails

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SLIDE 5

Baryogenesis

v Evidence from cosmology: v Sakharov’s 3 conditions (1967), for baryogenesis v Baryon number violation v Out of equilibrium v C and CP violation v EW baryogenesis is one of the potential solutions v Need new physics because in SM: 1)

EW phase transition is a crossover, instead of 1st order

2)

CP violation is too small

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SLIDE 6

Testability

v LHC is running! v What’s the sensitivity of HL-LHC, 100 TeV pp colliders, and

future e+ e- colliders to the region of parameter space where SFOPT is allowed?

v Gravitational waves: Bubble collisions

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SLIDE 7

Model: SM+singlet

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SLIDE 8

SM + Singlet

v SM Higgs doublet H mixes with an additional singlet S.

The singlet doesn’t couple to SM fermions and gauge bosons.

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SLIDE 9

SM + Singlet

v SM Higgs doublet H mixes with an additional singlet S.

The singlet doesn’t couple to SM fermions and gauge bosons.

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SLIDE 10

SM + Singlet

v SM Higgs doublet H mixes with an additional singlet S.

The singlet doesn’t couple to SM fermions and gauge bosons.

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SLIDE 11

SM + Singlet

v SM Higgs doublet H mixes with an additional singlet S.

The singlet doesn’t couple to SM fermions and gauge bosons.

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SLIDE 12

SM + Singlet

v SM Higgs doublet H mixes with an additional singlet S.

The singlet doesn’t couple to SM fermions and gauge bosons.

If apply Z2 symmetry: S-> -S

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SM + Singlet

v SM Higgs doublet H mixes with an additional singlet S.

The singlet doesn’t couple to SM fermions and gauge bosons.

S → S + x

v After spontaneous symmetry breaking:

H → 1 √ 2 ✓ h + v ◆

, in unitary gauge

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SM + Singlet

v Mass eigenstates and mixing angle:

h1 = h cos θ + S sin θ h2 = −h sin θ + S cos θ

cos θ

v

: Heavy Higgs; its couplings to fermions and gauge bosons are universally suppressed by a factor of .

h1 h2

sin θ

v

: the Higgs we observed; its couplings to fermions and gauge bosons are universally suppressed by a factor of .

θ h S

h1

h2

Mass eigenstates Gauge eigenstates

f f

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SLIDE 15

SM + Singlet

v Cubic terms: v Quartic terms are not very relevant for EWBG

∼ λ221

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Effective potential

v breakdown

Veff(φh, φs, T) = V0(φh, φs) + V CW

1

(φh, φs) + VT (φh, φs, T) + V ring

T

(φh, φs, T)

+ : bosons − : fermions

φi : background fields m2

j(φh, φs) : field dependent

mass squared

[Espinosa et al. NPB 854(2012)]

nj: degrees of freedom

[Profumo, Ramsey-Musolf, Shaughnessy (2007)]

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Double Higgs Production

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Double Higgs Production through Gluon Fusion

h1 h1 h1

h1 h1

λ111 Observed Higgs

v Important because it can be used to measure the

Higgs self-couplings

In SM:

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Double Higgs Production through Gluon Fusion

h1 h1 h1

h2 h1 h1

h1 h1

λ211

λ111 Observed Higgs

v Production cross section of di-Higgs can be enhanced

due to the decay of heavy resonances if

v Important because it can be used to measure the

Higgs self-couplings

In SM: BSM:

m2 > 2m1

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v Resonant production in the singlet model and its implication for

EWBG

[1] J. M. No and M. Ramsey-Musolf, Phys. Rev. D 89, no. 9, 095031 (2014) [2] K. Assamagan et al., arXiv:1604.05324 [hep-ph]. [3] A. V. Kotwal, M. J. Ramsey-Musolf, J. M. No and P. Winslow, arXiv:1605.06123 [hep-ph]. [4] T. Huang, J. M. No, L. Pernié, M. Ramsey-Musolf, A. Safonov, M. Spannowsky and P. Winslow, arXiv:1701.04442 [hep-ph]. [5] R. Contino et al., arXiv:1606.09408 [hep-ph]. …

Double Higgs Production through Gluon Fusion

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Double Higgs Production through Gluon Fusion

v Non-resonant production dominates v What if is small and ?

BSM: and

σ(h2h2)

σ(h1h2)

m2 < 2m1

sin θ

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Parameter space

v Small angle regions are mostly dominated by v Plot for 100 TeV is similar σ(h2h2)

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Constraints on scalar potential

v Vacuum stability: no vacuum exit at T=0 that is deeper than EW

vaccum with v=246 GeV and vs = 0 GeV

v Perturbativity: all dimensionless couplings < 4 pi at the EW scale v Perturbative unitarity: v Number of free parameter (once fix and ) v

[Lee et al. PRD 16(1977)]

sin θ

m2

a2, b3 and b4

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Parameter space

v Shaded region: satisfy all constraints v Blue regions show strongly first-order phase transition (SFOPT)

allowed region

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Collider signatures: trilepton channel

v Signal: v f v Background: v Jets fakes leptons: dominant background, t tbar v 3 prompt leptons: v WZ (W ) v WWW v ttW v ttZ or tt v tt

γ∗

γ∗

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Collider signatures: variables

v Transverse mass : v

: useful in rejecting backgrounds with non-prompt leptons.

mT (a, b) ≡ q (Ea

T + Eb T )2 − (~

pa

T + ~

pb

T )2

(Ea

T )2 = (pa T )2 + m2 a

: can be a particle or a group of particles

a

b

a, b

mT

  • V. Khachatryan et al. [CMS Collaboration],
  • Eur. Phys. J. C 76, no. 8, 439 (2016)
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Collider signatures: variables

v

: reconstruct mass of the mother particle ( ) when final states involves missing energy.

v Two possibilities:

mT 2

j j

ν

¯ ν

ν

h2

h2

h2

p

p

W +

W +

W −

W −

Emiss

T 1

Emiss

T 2

1)m1

T 2 =Min

  • Max

⇥ mT (jj`1, Emiss

T 1 ), mT (`2`0, Emiss T 2 )

⇤ Emiss

T 1

+ Emiss

T 2

= Emiss

T

2)m2

T 2 =m1 T 2(`1 ↔ `2)

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Collider signatures: variables

v Total invariant mass of visible particles:

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Collider signatures: benchmark points

v LHC 14 TeV at 3/ab:

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Collider signatures: benchmark points

v LHC 14 TeV at 3/ab:

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Collider signatures: benchmark points

v LHC 14 TeV at 3/ab: v LHC 100 TeV at 30/ab:

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Collider signatures

v mmin

T

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Additional probes

CEPC and ILC

v Presence of an addition scalar, alters the Zh1 production

cross section due to contributions to the wave-function renormalization of h1

v Sensitivity of lepton colliders:

Higgs self-coupling measurement at pp collider

for HL-LHC for 100 TeV pp collider [Craig et al. PRL 111(2013), Curtin et al. JHEP1411 (2014), Huang et al. PRD.94 (2016) ] [Curtin et al. JHEP 1411(2014)] [Dawson, et al. 1310.8361)]

δZh1 > 1%

[Dawson, et al. 1310.8361)]

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HL-LHC

Excluded by HL-LHC ILC or CEPC (to the right) Higgs self- coupling measurement (to the right)

λ111

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100 TeV collider

v Muon v Leptonic dipole moments:

v Green region: 5 sigma discovery using trilepton channel at 100 TeV with 30/ab v Yellow region: excluded by 2 sigma using trilepton channel at 100 TeV wth 30/ab

ILC or CEPC (dashed, to the right) Higgs self- coupling measurement (solid, to the right)

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Take Home Message

v Direct probe of EWPT in non-resonantscalar pair

production channels at both 14 TeV LHC and 100 TeV collider

v At 14 TeV LHC, measurement of the h1 self-coupling as

well as that from lepton colliders will provide better coverage

v At a 100 TeV collider, non-resonant production with

m2~170 GeV is sensitive to most of the parameter space with SFOPT.

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Take Home Message

Prospect:

v

channel

v

: displaced decay of

σ(h1h2)

m2 < m1 h2

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THANK YOU!

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BACKUP

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Constraints on Mixing Angle

v Light Higgs coupling measurements: v combine v Independent of branching ratios of new decay channels v Independent of m2 v Heavy Higgs searches: v Depend on branching ratios of new decay channels v E.g. take Bnew=0, for ≡ sin2 θ < 0.12

ATLAS-CONF-2014-010 arXiv: 1504.00936, CMS

sin2 θ < 0.2

40

200 < m2 < 600 GeV

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SLIDE 41

Parameter space

v Purple: satisfy all requirement at both tree and 1-loop level v circled: satisfy all requirement when 1-loop correction is added

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14 TeV 100 TeV

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Collider signatures

v mT 2

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Collider signatures

v mvis

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