SUSY Dark Matter and Colliders - whepp-9

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Implementation Input parameters are: m 0 , A 0 , M 1/2 , tan β • m t = 172.7 ± 2.9 GeV • m b (m b ) MS = 4.2 ± 0.2 GeV, • α s (M Z ) MS = 0.1187 ± 0.002. For the likelihood, we also use • Ω DM h 2 = 0.1125 +0.0081 −0.0091 • δ(g − 2) µ /2 = (19 ± 8.4) × 10 −10 • BR[b → sγ] = (3.52 ± 0.42) × 10 −5 SUSY Dark Matter and Colliders ln L = − 1 2 ∑ i (p i − m i ) 2 2σ 2 i + c B.C. Allanach – p.14/53
Convergence We run 9×1 000 000 points. By comparing the 9 independent chains with random starting points, we can provide a statistical measure of convergence: an upper bound r on the excepted variance decrease for infinite statistics. 2 upper bound 1.8 1.6 r 1.4 1.2 SUSY Dark Matter and Colliders 1 10 20 30 40 50 60 70 80 90 100 step/10000 B.C. Allanach – p.15/53
Page 1 and 2: SUSY Dark Matter and Colliders by B
Page 3 and 4: The Supersymmetric Standard Model S
Page 5 and 6: Broken Symmetry 3 components of the
Page 7 and 8: WMAP Results SUSY Dark Matter and C
Page 9 and 10: SUSY Prediction of Ωh 2 • Assume
Page 11 and 12: Universality Reduces number of SUSY
Page 13 and 14: Constraints on SUSY Models mSUGRA w
Page 15: Markov-Chain Monte Carlo Markov cha
Page 19 and 20: Annihilation Mechanism Define stau
Page 21 and 22: 0.0015 0.03 0.08 L/GeV 0.001 0.0005
Page 23 and 24: LHC (ATLAS) SUSY Dark Matter and Co
Page 25 and 26: Collider SUSY Dark Matter Productio
Page 27 and 28: Coannihilation Slope annihilation (
Page 29 and 30: Coannihilation Theory Uncertainties
Page 31 and 32: Iterative Procedure What change in
Page 33 and 34: mSUGRA Coannihilation Uncertainties
Page 35 and 36: PmSUGRA Coannihilation a(tanβ, µ)
Page 37 and 38: PmSUGRA Dependencies ∆M (GeV) 10
Page 39 and 40: PmSUGRA Dependencies ∆M (GeV) 10
Page 41 and 42: Summary • Markov chains bring out
Page 43 and 44: Likelihood L ≡ p(d|m) is pdf of r
Page 45 and 46: Funnel Slope GeV 1400 1200 1000 800
Page 47 and 48: Funnel Theory Uncertainties Ωh 2 0
Page 49 and 50: Funnel Accuracies SM inputs and tan
Page 51 and 52: Focus Point Slope mass (GeV) 1000 9
Page 53 and 54: Focus mSUGRA Accuracies a 0.0003 0.
Page 55 and 56: LHC SUSY Measurements q l + l −
Page 57 and 58: Edge Positions endpoint S5 fit O1 f
Page 59 and 60: Fitting to SUSY Breaking Model m 1/
Page 61 and 62: Other Observables Often more compli
Page 63 and 64: Cuts Example We use ATLFAST2.16, HE
Page 65 and 66: Focus Point Figure 0: Focus point r

SUSY Dark Matter and Colliders - whepp-9

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