Supergravity in Phenomenology and Cosmology
Supergravity in Phenomenology and Cosmology CMSSM - supergravity inspired m 0 , m 1/2 , A 0 , tan β
Supergravity in Phenomenology and Cosmology CMSSM - supergravity inspired m 0 , m 1/2 , A 0 , tan β tan � = 10 , µ > 0 800 800 m h 95% CL 700 700 m h = 114 GeV 600 600 m � ± �� = 104 GeV m 0 (GeV) Atlas 0l 95%CL 500 500 400 400 CMS � T 95%CL Atlas 1l 95%CL 300 300 CMS MET 95%CL 200 200 100 100 0 0 100 100 200 200 300 300 400 400 500 500 600 600 700 700 800 800 900 900 1000 1000 Ellis, Olive, Santoso, Spanos m 1/2 (GeV)
Supergravity in Phenomenology and Cosmology CMSSM - supergravity inspired m 0 , m 1/2 , A 0 , tan β tan � = 10 , µ > 0 800 800 m h = 114 GeV 700 700 m h 95% CL 600 600 m 0 (GeV) Atlas 2011 95%CL (PCL) 500 500 Atlas 2011 95%CL (CLs) 400 400 Atlas 0l 95%CL 300 300 CMS MHT 95%CL 200 200 100 100 0 0 100 100 200 200 300 300 400 400 500 500 600 600 700 700 800 800 900 900 1000 1000 Ellis, Olive, Santoso, Spanos m 1/2 (GeV)
Supergravity in Phenomenology and Cosmology CMSSM - supergravity inspired m 0 , m 1/2 , A 0 , tan β tan � = 10 , µ > 0 800 800 m h = 114 GeV 700 700 600 600 m 0 (GeV) 500 500 LHC post EPS 400 400 300 300 200 200 100 100 0 0 100 100 200 200 300 300 400 400 500 500 600 600 700 700 800 800 900 900 1000 1000 Ellis, Olive, Santoso, Spanos m 1/2 (GeV)
Supergravity in Phenomenology and Cosmology CMSSM - supergravity inspired m 0 , m 1/2 , A 0 , tan β tan � = 10 , µ > 0 800 800 m h = 119 GeV 700 700 600 600 m 0 (GeV) 500 500 LHC 400 400 300 300 200 200 100 100 0 0 100 100 200 200 300 300 400 400 500 500 600 600 700 700 800 800 900 900 1000 1000 Ellis, Olive, Santoso, Spanos m 1/2 (GeV)
Supergravity in Phenomenology and Cosmology CMSSM - supergravity inspired m 0 , m 1/2 , A 0 , tan β tan = 10 , � > 0 800 800 m h = 114 GeV 700 700 117.5 GeV 600 600 m 0 (GeV) LHC 500 500 400 400 300 300 119 GeV 200 200 100 100 0 0 100 100 200 200 300 300 400 400 500 500 600 600 700 700 800 800 900 900 1000 1000 Ellis, Olive, Santoso, Spanos m 1/2 (GeV)
Supergravity in Phenomenology and Cosmology CMSSM - supergravity inspired m 0 , m 1/2 , A 0 , tan β tan = 10 , � > 0 800 800 m h = 114 GeV 700 700 3000 117.5 GeV 600 600 m 0 (GeV) LHC 2500 500 500 ] 2 2000 [GeV/c 400 400 1/2 m 1500 300 300 119 GeV 1000 200 200 500 100 100 0 0 1000 2000 3000 4000 2 m [GeV/c ] 0 0 0 100 100 200 200 300 300 400 400 500 500 600 600 700 700 800 800 900 900 1000 1000 Mastercode - Buchmuller et al. m 1/2 (GeV)
tan � = 40, A 0 = 2.5 m 0 , µ > 0 2000 2000 119 0 1.5 2 2 1 2 1 114 1.3 CMSSM with large A 0 119 118 126 GeV 1 m 0 (GeV) 2 2 to get m h ~ 125 GeV 1.65 120 m h = 125 GeV 118 119 0 2 4 1 1 1 125 118 124 8 B → μ + μ - becomes an 1000 1000 124 GeV 1 1 119 114 119 114 122 124 120 114 122.5 GeV important constraint 118 8 1 2 119 2 1 1 114 119 GeV 0 2 1 118 4 1 1 0 0 100 100 1000 1000 1500 1500 m 1/2 (GeV)
A 0 /m 0 = 3 - � 3 , µ > 0, M in = 10 10 GeV 4000 4000 35 30 40 30 m h = 125 GeV 3 parameter mSUGRA 40 3000 3000 m 0 (GeV) 5 tan � = 35 3 model: m 3/2 , m 1/2 , A 0 4 0 ( tan β - fixed by B 0 =A 0 -m 0 ) 9 0 0 124 GeV 4 0 2000 2000 4 tan � = 30 35 35 + 5 3 35 122.5 GeV 1.3 SubGUT universality: M in 119 GeV 1000 1000 1.5 tan � = 25 tan � = 55 1.65 0 0 100 100 1000 1000 2000 2000 3000 3000 4000 4000 m 1/2 (GeV)
Strong Moduli Stabilization/Pure Gravity Mediation Heavy volume modulus (m T ~ M P ) with Dudas, Linde, Mambrini, Mustafayev, Olive heavy Polonyi-like field (m z >> m 3/2 ) The sfermion, higgsinos, heavy Higgses and gravitino have masses O(100) TeV. The gaugino masses are in the range of hundreds to thousands of GeV. The LSP is the neutral wino which is nearly degenerate with the charged wino. The lightest Higgs boson mass is consistent with the observed Higgs-like boson, i.e. m h ~ 125 - 126 GeV.
Strong Moduli Stabilization/Pure Gravity Mediation Two parameter model! m 0 = m 3/2 ; tan β gaugino masses (and A-terms) generated through loops 130 1.5 PeV The sfermion, higgsinos, heavy Higgses 1 PeV and gravitino have masses O(100) TeV. Top Yukawa non-perturbative No Electroweak Symmetry Breaking 800 TeV m 3/2 = 600 TeV The gaugino masses are in the range of m h (GeV) 400 TeV 125 hundreds to thousands of GeV. 300 TeV 200 TeV The LSP is the neutral wino which is nearly degenerate with the charged wino. 100 TeV 120 60 TeV The lightest Higgs boson mass is consistent with the observed Higgs-like boson, i.e. m h ~ 125 - 126 GeV. 115 1 2 3 4 tan β Evans, Ibe, Olive, Yanagida
Inflation ! T + T ∗ � φφ ∗ K = � 3 ln 3 " φ 2 2 � φ 3 # Ellis, Nanopoulos, p - as the inflaton , W = M Olive 3 3 p T - as the inflaton Cecotti; Kallosh, W = 3 M φ ( T � 1 / 2) Linde Equivalent to R + R 2 (Starobinsky) model of gravity 0.25 0.01 1.0 0.005 V/µ 2 0.20 ��� =.33327 0.002 0.8 r 0.001 ��� =.33330 0.0005 0.15 r 0.0002 0.6 0.0001 0.94 0.96 0.98 1.00 n s 0.10 W = ˆ µ 2 Φ 2 � λ 0.4 3 Φ 3 . ��� = 1/3 0.05 0.2 ��� =.33336 ��� =.33340 ��� =.33327 ��� =1/3 ��� =.33330 ��� =.33340 ��� =.33336 0.0 0.00 0 5 10 0.94 0.96 0.98 1.00 x n s
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