From an obscure term in an equation to a headline discovery – and beyond

John EllisKing’s College London

(& CERN)

Different Scales for Higgs Physics

The (G)AEBHGHKMP’tH Mechanism

The only one

who mentioned a

massive scalar boson

Why a Higgs Boson is Needed• Trouble with WW scattering: M ~ E2

uncontrollable infinities in loop diagrams

• can be cancelled by

• scalar exchange

with HWW couplings

• Need new physics @ TeV scale

2011: Combining Information from Previous Direct Searches and Indirect Data

mH = 125 ± 10 GeV Gfitter collaboration

• CMS γγ and ZZ* measurements consistent

Higgs Mass Measurements

• Tension in ATLAS γγ and ZZ* measurements

Higgs Mass Measurements

Quite consistent: Δχ2 ~ 1.5

Comparison with Electroweak Fit

Theoretical Constraints on Higgs Mass

• Large Mh → large self-coupling → blow up at low-energy scale Λ due to renormalization

• Small: renormalization due to t quark drives quartic coupling < 0at some scale Λ→ vacuum unstable

• Vacuum could be stabilized by SupersymmetryDegrassi, Di Vita, Elias-Miro, Giudice, Isodori & Strumia, arXiv:1205.6497

Instability @

1010 – 1013 GeV

Vacuum Instability in the Standard Model

• Very sensitive to mt as well as MH

• Present vacuum probably metastable with lifetime >> age of the Universe

Degrassi, Di Vita, Elias-Miro, Giudice, Isodori & Strumia, arXiv:1205.6497

• What is it?–Higgs or …?

• What else is there?–Supersymmetry …?

• What next?–A Higgs factory or …?

Some Questions

Supersymmetricmodel fits

Elementary Higgs or Composite?

• Higgs field:

<0|H|0> ≠ 0• Quantum loop problems

• Fermion-antifermion condensate

• Just like QCD, BCS superconductivity

• Top-antitop condensate? needed mt > 200 GeV

New technicolour force?-Heavy scalar resonance?-Inconsistent with precision electroweak data?

Cut-off Λ ~ 1 TeV with

Supersymmetry?

e.g., cutoff

Λ = 10 TeV

Higgs as a Pseudo-Goldstone

Boson

Loop cancellation mechanism

SupersymmetryLittle Higgs

‘Little Higgs’ models

(breakdown of larger symmetry)

• Assume custodial symmetry:

• Parameterize gauge bosons by 2 × 2 matrix Σ:

• Coefficients a = c = 1 in Standard Model

Phenomenological Framework

Global Analysis of Higgs-like Models

• Rescale couplings: to bosons by a, to fermions by c

• Standard Model: a = c = 1 JE & Tevong You, arXiv:1303.3879

b bbarτ τγ γW WZ ZGlobal

No evidence for

deviation from SM

It Walks and Quacks like a Higgs

• Do couplings scale ~ mass? With scale = v?

• Red line = SM, dashed line = best fitJE & Tevong You, arXiv:1303.3879

Global

fit

Loop Corrections ?

• ATLAS sees excess in γγ, CMS sees deficit

• Loop diagrams ~ Standard Model?JE & Tevong You, arXiv:1303.3879

What else is there?• Higher-dimensional operators as relics of higher-

energy physics?

• Operators constrained by SU(2) × U(1) symmetry:

• Constrain using LHC +

Tevatron Higgs

measurements

Corbett, Eboli & Gonzalez2

What else is there?

Combine Higgs coupling

measurements with constraints on anomalous

triple-gauge boson couplings

Corbett, Eboli & Gonzalez2

What else is there?Constraints from energy dependence of

Higgs production cross section on

JE, Sanz & You, arXiv:1303.0208 Λ > ~ 250 GeV

What else is there?

Supersymmetry• Successful prediction for Higgs mass

– Should be < 130 GeV in simple models

• Successful predictions for Higgs couplings– Should be within few % of SM values

• Could explain the dark matter

• Naturalness, GUTs, string, … (???)

MSSM Higgs Masses & Couplings

Lightest Higgs mass

up to ~ 130 GeV

Heavy Higgs masses

quite close

Consistent

With LHC

“Classic” missing-energy search

Searches ~ 5/fb @ 8 TeVSearches with 8 TeV Data

Multiple searches including b, leptons

5

p-value of simple models < 10%

2

Scan of CMSSM

Impacts of searches

with full 2012 data

Update of Buchmueller et al: arXiv:1207.3715

51

Favoured values of gluino mass significantly

above pre-LHC, > 1.5 TeV

Gluino mass

Update of Buchmueller, JE et al: arXiv:1207.3715

CMSSM

Favoured values of dark matter scattering

cross section significantly below XENON100

5

--- 1/fb___ 5/fb

Buchmueller, JE et al: arXiv:1207.3715

Spin-independent

Dark matter scattering

Excluded by

XENON100

Excluded by LHC

2

What Next: A Higgs Factory?

To study the ‘Higgs’ in detail:•The LHC

– Rethink LHC upgrades in this perspective?

•A linear collider?– ILC up to 500 GeV– CLIC up to 3 TeV

(Larger cross section at higher energies)

•A circular e+e- collider: LEP3, TLEP– A photon-photon collider: SAPPHiRE

•A muon collider

What Higgs Factory?

New large tunnel

could also be used

for pp collisions

ECM up to 100 TeV

TLEP Steering Group, arXiv:1208.0504, 1305.6498, 1306.5981

Possible Layouts for TLEP

Comparison of Possible HiggsFactory Measurements

• Predictions of current best fits in simple SUSY models

• Current uncertainties in SM calculations [LHC Higgs WG]

• Comparisons with– LHC– HL-LHC– ILC– TLEP

• Don’t decide before LHC 13/4

Impact of Higgs Factory?

Supersymmetricmodel fits

Part of a Vision for the Future• A large circular tunnel

– Circumference ~ 80 to 100 km

• Could accommodate TLEP and VHE-LHC– ECM up to 100 TeV with 15 Tesla magnets

• Could be sited around Geneva– Interest in China, US

• TLEP Study Group under way

• Timely to study VHE-LHC

Conversation with Mrs Thatcher: 1982

What do you do?

Think of things for the experiments to look

for, and hope they find something different

Wouldn’t it be better if they

found what

you predicted?

Then we would not know how to progress!