The scale-invariant NMSSM and the 125 GeV Higgs boson Benedict von Harling SISSA in collaboration with T. Gherghetta, A. Medina, M. A. Schmidt [1212.5243]
Low-scale supersymmetry is great! Gauge coupling unification Solution to the hierarchy problem Dark matter candidate ✕ S S ln Λ UV ❤ ✐ ∆ m 2 Λ 2 UV � 2 m 2 H = m S + ✿ ✿ ✿ 16 ✙ 2 H = � ❥ ✕ f ❥ 2 ∆ m 2 Λ 2 ✂ UV + ✿ ✿ ✿ ✄ 16 ✙ 2 2
But the LHC doesn’t see any superpartners... ATLAS ATLAS SUSY Searches* - 95% CL Lower Limits Preliminary ∫ Status: LHCP 2013 -1 Ldt = (4.4 - 20.7) fb s = 7, 8 TeV ∫ µ τ γ miss Model e, , , Jets E Ldt [fb -1 ] Mass limit Reference T ~ ~ ~ ~ MSUGRA/CMSSM 0 2-6 jets Yes 20.3 q , g 1.8 TeV m( q )=m( g ) ATLAS-CONF-2013-047 µ ~ ~ ~ ~ MSUGRA/CMSSM 1 e, 4 jets Yes 5.8 q , g 1.24 TeV m( q )=m( g ) ATLAS-CONF-2012-104 ~ ~ MSUGRA/CMSSM 0 7-10 jets Yes 20.3 ATLAS-CONF-2013-054 g 1.1 TeV any m( q ) ~ ~ ~ ∼ ∼ → χ 0 ~ q q , q q 0 2-6 jets Yes 20.3 q 740 GeV m( χ 0 ) = 0 GeV ATLAS-CONF-2013-047 ∼ 1 1 ~ ~ ~ ~ ∼ g g , g → q q χ 0 0 2-6 jets Yes 20.3 m( χ 0 ) = 0 GeV ATLAS-CONF-2013-047 g 1.3 TeV searches 1 ∼ ~ ∼ ∼ 1 ∼ ∼ Inclusive χ ± → χ ± µ ~ χ χ ± χ ~ Gluino med. ( g q q ) 1 e, 2-4 jets Yes 4.7 g 900 GeV m( 0 ) < 200 GeV, m( ) = 0.5(m( 0 )+m( g )) 1208.4688 ∼ ∼ 1 1 ~ ~ → χ χ µ ~ ∼ g g qqqqll(ll) 0 0 2 e, (SS) 3 jets Yes 20.7 g 1.1 TeV m( χ 0 ) < 650 GeV ATLAS-CONF-2013-007 ~ 1 1 ~ 1 GMSB ( l NLSP) 2 e, µ 2-4 jets Yes 4.7 β 1208.4688 g 1.24 TeV tan < 15 ~ τ ~ GMSB ( l NLSP) 1-2 0-2 jets Yes 20.7 g 1.4 TeV tan β >18 ATLAS-CONF-2013-026 ~ ∼ GGM (bino NLSP) 2 γ 0 Yes 4.8 χ 0 1209.0753 g 1.07 TeV m( ) > 50 GeV ∼ 1 µ γ ~ χ GGM (wino NLSP) 1 e, + 0 Yes 4.8 g 619 GeV m( 0 ) > 50 GeV ATLAS-CONF-2012-144 1 γ ~ ∼ GGM (higgsino-bino NLSP) 1 b Yes 4.8 g 900 GeV m( χ 0 ) > 220 GeV 1211.1167 ~ ~ 1 µ GGM (higgsino NLSP) 2 e, (Z) 0-3 jets Yes 5.8 g 690 GeV m( H ) > 200 GeV ATLAS-CONF-2012-152 ~ Gravitino LSP 0 mono-jet Yes 10.5 F 1/2 scale 645 GeV m( G ) > 10 -4 eV ATLAS-CONF-2012-147 ∼ ~ ~ ∼ gen. g → b b χ 0 0 3 b Yes 12.8 g 1.24 TeV χ ATLAS-CONF-2012-145 med. m( 0 ) < 200 GeV ~ ∼ 1 ~ ∼ 1 → χ 0 µ g t t 2 e, (SS) 0-3 b No 20.7 g 900 GeV m( χ 0 ) < 500 GeV ATLAS-CONF-2013-007 ∼ 1 1 ~ ~ ∼ g → t t χ 0 0 7-10 jets Yes 20.3 g 1.14 TeV χ 0 ATLAS-CONF-2013-054 rd 3 m( ) <200 GeV ~ ∼ 1 ~ ∼ 1 ~ g → χ 0 χ g t t 0 3 b Yes 12.8 g 1.15 TeV m( 0 ) < 200 GeV ATLAS-CONF-2012-145 1 1 ~ ~ ~ ∼ ~ ∼ → χ 0 b b , b b 0 2 b Yes 20.1 b 100-630 GeV m( χ 0 ) < 100 GeV ATLAS-CONF-2013-053 ~ 1 ~ 1 ~ 1 ∼ 1 ~ 1 1 ± ∼ ∼ direct production b b , b → t χ 2 e, µ (SS) 0-3 b Yes 20.7 m( χ ± ) = 2 m( χ 0 ) ATLAS-CONF-2013-007 gen. squarks 1 1 1 b 430 GeV ~ ~ ~ 1 ∼ ~ 1 ∼ 1 1 → χ ± µ χ t t (light), t b 1-2 e, 1-2 b Yes 4.7 t 167 GeV m( 0 ) = 55 GeV 1208.4305, 1209.2102 ~ 1 ~ 1 ~ 1 1 ∼ 1 1 → χ µ ~ ∼ ~ ~ ∼ t t (light), t Wb 0 2 e, 0-2 jets Yes 20.3 t 220 GeV m( χ 0 ) = m( t ) - m(W) - 50 GeV, m( t ) << m( χ ± ) ATLAS-CONF-2013-048 1 1 1 ∼ 1 1 1 1 ~ ~ ~ 1 ± ~ 1 ∼ ~ ∼ t t (medium), t → b χ 2 e, µ 0-2 jets Yes 20.3 χ χ ± ATLAS-CONF-2013-048 t 150-440 GeV m( 0 ) = 0 GeV, m( t )-m( ) = 10 GeV ~ 1 ~ 1 ~ 1 ∼ 1 ~ 1 ∼ 1 1 ∼ 1 ∼ → χ ± t t (medium), t b 0 2 b Yes 20.1 t 150-580 GeV m( χ 0 ) < 200 GeV, m( χ ± )-m( χ ± ) = 5 GeV ATLAS-CONF-2013-053 1 1 1 ∼ 1 1 1 1 1 ~ ~ ~ ~ ∼ t t (heavy), t → χ t 0 1 e, µ 1 b Yes 20.7 χ 0 ATLAS-CONF-2013-037 1 1 1 t 200-610 GeV m( ) = 0 GeV ~ ~ ~ ∼ 1 ~ 1 ∼ 1 → χ 0 χ t t (heavy), t t 0 2 b Yes 20.5 t 320-660 GeV m( 0 ) = 0 GeV ATLAS-CONF-2013-024 rd 3 ~ 1 ~ 1 1 1 1 1 µ ~ ∼ t t (natural GMSB) 2 e, (Z) 1 b Yes 20.7 t 500 GeV m( χ 0 ) > 150 GeV ATLAS-CONF-2013-025 1 1 ~ ~ ~ ~ ~ 1 ~ 1 ∼ → µ χ t t , t t +Z 3 e, (Z) 1 b Yes 20.7 t 520 GeV m( t ) = m( 0 ) + 180 GeV ATLAS-CONF-2013-025 2 2 2 1 2 1 1 ~ ~ ~ ∼ ~ ∼ → χ 0 µ l l , l l 2 e, 0 Yes 20.3 l 85-315 GeV m( χ 0 ) = 0 GeV ATLAS-CONF-2013-049 ∼ L,R ∼ L,R ∼ ~ ∼ 1 - 1 ∼ ∼ ~ ∼ ∼ ∼ χ + χ , χ + → ν l (l ν ) 2 e, µ 0 Yes 20.3 χ ± χ 0 ν χ ± χ 0 ATLAS-CONF-2013-049 direct 125-450 GeV m( ) = 0 GeV, m( l , ) = 0.5(m( ) + m( )) EW ∼ 1 ∼ 1 ∼ 1 ∼ ∼ ∼ 1 ∼ 1 ∼ ∼ 1 ∼ 1 χ + χ - χ + → τ ν τ ν τ ± ∼ , ( ) 2 0 Yes 20.7 χ 180-330 GeV m( χ 0 ) = 0 GeV, m( τ , ν ) = 0.5(m( χ ± ) + m( χ 0 )) ATLAS-CONF-2013-028 ∼ 1 ∼ 1 1 ~ ~ ∼ ∼ ~ ∼ 1 1 1 ± ∼ 1 ∼ ∼ ∼ ∼ ~ ∼ ∼ ∼ χ χ 0 → l ν l l( ν ν ), l ν l l( ν ν ) 3 e, µ 0 Yes 20.7 χ ± χ 0 m( χ ± ) = m( χ 0 ), m( χ 0 ) = 0, m( l , ν ) = 0.5(m( χ ± ) + m( χ 0 )) ATLAS-CONF-2013-035 L L L , 600 GeV ∼ 1 ∼ 2 ∼ ∼ ∼ 1 ∼ 2 1 ∼ 2 1 ∼ ∼ 1 1 χ ± χ 0 → (*) χ 0 (*) χ 0 µ χ ± χ χ ± χ χ W Z 3 e, 0 Yes 20.7 , 0 315 GeV m( ) = m( 0 ), m( 0 ) = 0, sleptons decoupled ATLAS-CONF-2013-035 1 2 1 1 1 2 1 1 2 ∼ ∼ ∼ ∼ χ ± χ χ ± χ ± ∼ Long-lived Direct ± prod., long-lived 0 1 jet Yes 4.7 220 GeV 1 < τ ( χ ± ) < 10 ns 1210.2852 particles ~ 1 1 1 ~ 1 1 Stable g , R-hadrons 0-2 e, µ 0 Yes 4.7 1211.1597 g 985 GeV ∼ ∼ τ β µ τ β GMSB, stable , low 2 e, 0 Yes 4.7 300 GeV 5 < tan < 20 1211.1597 ∼ ~ ∼ ∼ ∼ χ → γ χ γ GMSB, 0 G ,long-lived 0 2 0 Yes 4.7 χ 0 230 GeV 0.4 < τ χ ( 0 ) < 2 ns 1304.6310 ∼ 1 1 1 ~ 1 ~ χ 0 → qq µ (RPV) 1 e, µ 0 Yes 4.4 τ 1210.7451 q 700 GeV 1 mm < c < 1 m, g decoupled 1 ∼ ∼ ∼ → ν ν → µ µ , LFV pp τ +X, τ e+ 2 e, 0 - 4.6 ν 1.61 TeV λ =0.10, λ =0.05 1212.1272 ∼ ∼ τ 311 132 ∼ LFV pp → ν +X, ν → e( µ )+ τ 1 e, µ + τ 0 - 4.6 ν λ , λ 1212.1272 τ τ τ 1.1 TeV =0.10, =0.05 311 1(2)33 µ ~ ~ ~ ~ τ Bilinear RPV CMSSM 1 e, 7 jets Yes 4.7 q , g 1.2 TeV m( q ) = m( g ), c < 1 mm ATLAS-CONF-2012-140 RPV ∼ ∼ ∼ ∼ ∼ ∼ LSP - ∼ χ + χ , χ + → W χ 0 , χ 0 → ee ν ,e µ ν 4 e, µ 0 Yes 20.7 χ ± 760 GeV m( χ 0 ) > 300 GeV, λ > 0 ATLAS-CONF-2013-036 ∼ ∼ ∼ ∼ ∼ µ e 1 1 1 1 1 ∼ 1 ∼ 1 121 χ + χ - χ + → χ 0 χ 0 → τ τ ν τ ν µ τ χ ± χ λ , W , e ,e τ 3 e, + 0 Yes 20.7 350 GeV m( 0 ) > 80 GeV, > 0 ATLAS-CONF-2013-036 1 1 1 1 1 1 1 133 ~ → ~ g qqq 0 6 jets - 4.6 g 666 GeV 1210.4813 ~ ~ ~ ~ g → t t, t → bs 2 e, µ (SS) 0-3 b Yes 20.7 ATLAS-CONF-2013-007 g 880 GeV 1 1 Scalar gluon 0 4 jets - 4.6 sgluon 100-287 GeV incl. limit from 1110.2693 1210.4826 Other WIMP interaction (D5, Dirac χ ) 0 mono-jet Yes 10.5 M* scale 704 GeV χ ATLAS-CONF-2012-147 m( ) < 80 GeV, limit of < 687 GeV for D8 -1 s = 7 TeV s = 8 TeV s = 8 TeV 10 1 Mass scale [TeV] full data partial data full data σ *Only a selection of the available mass limits on new states or phenomena is shown. All limits quoted are observed minus 1 theoretical signal cross section uncertainty. 3
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