john ellis king’s college london (& cern) overview of supersymmetry and dark matter
TRANSCRIPT
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John Ellis
King’s College London
(& CERN)
Overview of Supersymmetry and Dark Matter
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Strange Recipe for a Universe
The ‘Standard Model’ of the Universe
indicated by astrophysics and cosmology
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Relic Density Calculation• Freeze-out from thermal equilibrium
• Typical annihilation cross section ~ 3 ✕ 10-26 cm2
• Lower if coannihilation with related particles
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300,000
years
3
minutes
1 micro-
second
1 pico-
second
Formation
of atoms
Formation
of nuclei
Formation
of protons
& neutronsAppearance
of mass?
Appearance
of dark matter?
Appearance
of matter?
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Classic Dark Matter Signature
Missing transverse energy
carried away by dark matter particles
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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, … (???)
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Higgs Bosons in Supersymmetry
• Need 2 complex Higgs doublets(cancel anomalies, form of SUSY couplings)
• 8 – 3 = 5 physical Higgs bosonsScalars h, H; pseudoscalar A; charged H±
• Lightest Higgs < MZ at tree level:
• Important radiative corrections to mass:
ΔMH|TH ~ 1.5 GeV
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MSSM Higgs Masses & Couplings
Lightest Higgs mass
up to ~ 130 GeV
Heavy Higgs masses
quite close
Consistent
With LHC
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• Very similar to those in the SM• Present data do not constrain
supersymmetric models
• Need future collider to distinguish
Supersymmetric Higgs Couplings
H to WW
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Where May SUSY be Hiding?
Excluded by
b s γ, Bs μ+μ-
Relic density constraint,
assuming
neutralino LSP
JE, Olive & Zheng: arXiv:1404.5571
Stop
coannihilation
strip
Stau
coannihilation
strip
Excluded by ATLAS
Jest + MET search
Excluded because
stau or stop LSP
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Data
• Electroweak precision observables
• Flavour physics observables
• gμ - 2
• Higgs mass• Dark matter• LHC
MasterCode: O.Buchmueller, JE et al.
Deviation from Standard Model:
Supersymmetry at low scale, or …?
MH = 125.6 ± 0.3 ± 1.5 GeV
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O. Buchmueller, R. Cavanaugh, M. Citron, A. De Roeck, M.J. Dolan, J.E., H. Flacher, S. Heinemeyer, G. Isidori,
J. Marrouche, D. Martinez Santos, S. Nakach, K.A. Olive, S. Rogerson, F.J. Ronga, K.J. de Vries, G. Weiglein
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Search with ~ 20/fb @ 8 TeV
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p-value of simple models ~ 5% (also SM)
2012 20/fb
Scan of CMSSM
Buchmueller, JE et al: arXiv:1312.5250
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Confronted with likelihood analysis of CMSSM
LHC Reach for Supersymmetry
K. De Vries
(MasterCode)
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51 20/fb2012
Squark mass
CMSSM
Favoured values of squark mass also significantly
above pre-LHC, > 1.6 TeV
Buchmueller, JE et al: arXiv:1312.5250
Reach of LHC at
High luminosity
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51 20/fb2012
CMSSM
Favoured values of gluino mass significantly
above pre-LHC, > 1.8 TeV
Buchmueller, JE et al: arXiv:1312.5250
Gluino mass
CMSSM
Reach of LHC at
High luminosity
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• Future runs of the LHC:– Run 2: 30/fb @ 13/14 TeV– Run 3: 300/fb @ 14 TeV
• HL-LHC: 3000/fb @ 14 TeV?(proposed in CERN’s medium-term plan)
• HE-LHC: 3000/fb @ 33 TeV??(high-field magnets in the LHC tunnel)
• VHE-LHC: 3000/fb @ 100 TeV??(high-field magnets in 80/100 km tunnel)
Proton-Proton Colliders:Luminosity and Energy
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Exploring the Stau Coannihilation Strip
• Disappearing tracks, missing-energy + jets, massive metastable charged particles
Desai, JE, Luo & Marrouche: arXiv:1404.5061
Present
sensitivity
Present
sensitivity
Prospective sensitivity of LHC Run II
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What Parts of High-Mass Parameter Space are Allowed?
• Imposing dark matter density constraint
• Focus-point strip:– A0 ~ 0, large m0/m1/2
• Extends to m1/2 ~ 4 TeV
• Neutralino has Higgsino mixture
• Truncated by mh
O. Buchmueller, JE, K. Olive et al.
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What Parts of High-Mass Parameter Space are Allowed?
• Imposing dark matter density constraint
• Stop coannihilation strip:– A0 ~ 3 m0, large m0/m1/2
• Extends to m1/2 ~ 13 TeV
• Very small mass difference: mstop – mχ
• mh very uncertain
HE-LHC
LHC 3000
LHC 300
LHC 8 TeV
O. Buchmueller, JE, K. Olive et al.
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Exploring the Stop Coannihilation Strip
• Extends close to boundary of stop LSP wedge
• Extends to masses far beyond current limitsJE, Olive & Zheng: arXiv:1404.5571
Present
bounds
Sensitivity of
LHC Run II
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Exploring the Stop Coannihilation Strip
• Extended by Sommerfeld effects on annihilations
• Compatible with LHC measurement of mh
• May extend to mχ = mstop ~ 6500 GeVJE, Olive & Zheng: arXiv:1404.5571
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Exploring the Stop Coannihilation Strip
• Present limits extend to mstop ~250 GeV
• Future LHC runs should reach mχ=mstop~500 GeV
• Unfinished business for FCC-hh?JE, Olive & Zheng: arXiv:1404.5571
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Direct Dark Matter Searches• Compilation of present and future sensitivities
Range calculated
along stop strip
JE, Olive & Zheng
Neutrino
“wall”