Trouble with ww scattering: m ~ E2
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31.08.2018
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Trouble with WW scattering: M ~ E2
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
CMS γγ and ZZ*
measurements consistent
Tension in ATLAS γγ and ZZ*
measurements
Quite consistent: Δχ2 ~ 1.5
Large Mh → large self-coupling → blow up at low-energy scale Λ due to
Large Mh → large self-coupling → blow up at low-energy scale Λ due to
renormalization
Small: renormalization
due to t quark drives
quartic coupling
< 0
at some scale Λ
→ vacuum unstable
Vacuum could be stabilized by
Supersymmetry
Very sensitive to mt as well as MH
Very sensitive to mt as well as MH
Present vacuum probably metastable with lifetime >>
age of the Universe
What is it?
What is it?
Higgs or …?
What else is there?
Supersymmetry …?
What next?
A Higgs factory or …?
Higgs field:
Higgs field:
<0|H|0> ≠ 0
Quantum loop problems
Rescale couplings: to bosons by
a
,
to fermions by
c
Rescale couplings: to bosons by
a
, to fermions by
c
Standard Model:
a = c =
1
Do couplings scale ~ mass? With scale = v?
Do couplings scale ~ mass? With scale = v?
Red line = SM
, dashed line = best fit
ATLAS sees excess in γγ, CMS sees deficit
ATLAS sees excess in γγ, CMS sees deficit
Loop diagrams ~ Standard Model?
Higher-dimensional operators as relics of higher-energy physics?
Higher-dimensional operators as relics of higher-energy physics?
Operators constrained by SU(2) × U(1) symmetry:
Constrain using LHC +
Tevatron Higgs
measurements
Combine Higgs coupling measurements with constraints on anomalous triple-gauge boson couplings
Combine Higgs coupling measurements with constraints on anomalous triple-gauge boson couplings
Constraints from energy dependence of
Constraints from energy dependence of
Higgs
production cross section on
Supersymmetry
Supersymmetry
To study the ‘Higgs’ in detail:
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
Predictions of current best fits in simple SUSY models
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
A
large circular tunnel
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
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