Status of Supersymmetric Models

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1 Status of Supersymmetric Models Sudhir K Vempati CHEP, IISc Bangalore Institute of Physics, Bhubhaneswar Feb, 203

2 Outline Why Supersymmetry? Structure of MSSM Experimental Status New models of SUSY

3 S/(S+B) Weighted Events /.5 GeV CMS s = 7 TeV, L = 5. fb Data S+B Fit B Fit Component ±σ ±2 σ Events /.5 GeV = 8 TeV, L = 5.3 fb m γ γ (GeV) s Unweighted m γγ (GeV)

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5 6 5 4 July 20 Theory uncertainty Δα had = Δα (5) ± ± incl. low Q 2 data m Limit = 6 GeV Δχ Excluded m H [GeV]

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11 The Structure of MSSM

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16 Supersymmetry breaking

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20 Some traditional Models

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26 Two loop diagrams contributing to soft masses

27 dimensional-full couplings Q A-terms are essentially zero!!!

28 Experimental Status

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31 Inclusive searches 3rd gen. sq. gluino med. 3rd gen. squarks direct production EW direct RPV Long-lived particles MSUGRA/CMSSM : 0 lep + j's + E T,miss MSUGRA/CMSSM : lep + j's + E T,miss Pheno model : 0 lep + j's + E T,miss Pheno model : 0 lep + j's + E T,miss Present LHC limits Gluino med. χ ( g qqχ ) : lep + j's + E T,miss ± GMSB GMSB (τ ( l NLSP) : 2 lep (OS) + j's + E T,miss NLSP) : -2 τ + 0 lep + j's + E T,miss GGM (bino NLSP) : γγ + E T,miss GGM (wino NLSP) : γ + lep + E T,miss GGM (higgsino-bino NLSP) : γ + b + E T,miss GGM (higgsino NLSP) : Z + jets + E T,miss Gravitino LSP : 'monojet' + E T,miss 0 g bbχ (virtual b) : 0 lep + 3 b-j's + E 0 T,miss g ttχ (virtual t) : 2 lep (SS) + j's + E 0 T,miss g ttχ (virtual t) : 3 lep + j's + E 0 T,miss g ttχ (virtual t) : 0 lep + multi-j's + E 0 T,miss g ttχ (virtual t) : 0 lep + 3 b-j's + E 0 χ T,miss bb, b b : 0 lep + 2-b-jets + E ± χ T,miss bb, b ± χ t : 3 lep + j's + E T,miss tt (light), t b : /2 lep (+ b-jet) + E ± χ T,miss tt (medium), t b : lep + b-jet + E ± χ T,miss tt (medium), t b : 2 lep + E 0 T,miss tt, t tχ : lep + b-jet + E 0 T,miss tt, t tχ : 0//2 lep (+ b-jets) + E T,miss tt (natural GMSB) : Z( ll) + b-jet + E 0 l l l lχ T,miss : 2 lep + E χ χ ±0, χ L lν(lν) lν L, χ T,miss : 2 lep + E,miss χ χ l l νν), lν l νν) T : 3 lep + E ± L ν 0 L l( ( )0 L l( 2 ( )0 T,miss χ χ W * χ Z * χ : 3 lep + E ± ± Direct χ 2 T,miss pair prod. (AMSB) : long-lived χ Stable g R-hadrons : low β, βγ (full detector) Stable t R-hadrons : low β, βγ (full detector) GMSB : stable τ 0 χ qqµ (RPV) : µ + LFV : pp ν heavy ν displaced vertex LFV : pp ν τ +X, ν τ e+µ resonance τ +X, τ e(µ)+τ resonance Bilinear RPV CMSSM : lep + 7 j's + E T,miss χ χ, χ Wχ, χ eeν : 4 lep + E ,miss l l, l χ, χ µ,eµν e T L L L l eeν µ,eµν : 4 lep + E T,miss e g qqq : 3-jet resonance pair Scalar gluon : 2-jet resonance pair WIMP interaction (D5, Dirac χ) : 'monojet' + E T,miss ± L=5.8 fb, 8 TeV [ATLAS-CONF-20209] L=5.8 fb, 8 TeV [ATLAS-CONF-20204] L=5.8 fb, 8 TeV [ATLAS-CONF-20209] L=5.8 fb, 8 TeV [ATLAS-CONF-20209] L=4.7 fb L=4.7 fb, 7 TeV [ ], 7 TeV [ ] L=4.7 fb, 7 TeV [20.34] L=4.8 fb, 7 TeV [ ] L=4.8 fb, 7 TeV [ATLAS-CONF-20244] L=4.8 fb, 7 TeV [2.67] L=5.8 fb, 8 TeV [ATLAS-CONF-20252] L=0.5 fb, 8 TeV [ATLAS-CONF-20247] L=2.8 fb, 8 TeV [ATLAS-CONF-20245] L=5.8 fb, 8 TeV [ATLAS-CONF-20205] L=3.0 fb, 8 TeV [ATLAS-CONF-2025] L=5.8 fb, 8 TeV [ATLAS-CONF-20203] L=2.8 fb, 8 TeV [ATLAS-CONF-20245] L=2.8 fb, 8 TeV [ATLAS-CONF-20265] L=3.0 fb, 8 TeV [ATLAS-CONF-2025] L=4.7 fb, 7 TeV [ , ] 67 GeV L=3.0 fb, 8 TeV [ATLAS-CONF-20266] L=3.0 fb, 8 TeV [ATLAS-CONF-20267] L=3.0 fb, 8 TeV [ATLAS-CONF-20266] L=4.7 fb, 7 TeV [ , , ] L=2. fb, 7 TeV [ ] L=4.7 fb, 7 TeV [ ] L=4.7 fb, 7 TeV [ ] L=3.0 fb, 8 TeV [ATLAS-CONF-20254] L=3.0 fb, 8 TeV [ATLAS-CONF-20254] L=4.7 fb, 7 TeV [ ] L=4.7 fb, 7 TeV [2.597] L=4.7 fb, 7 TeV [2.597] L=4.7 fb, 7 TeV [2.597] L=4.4 fb, 7 TeV [20.745] L=4.6 fb, 7 TeV [Preliminary] L=4.6 fb, 7 TeV [Preliminary] L=4.7 fb, 7 TeV [ATLAS-CONF-20240] L=3.0 fb, 8 TeV [ATLAS-CONF-20253] L=3.0 fb, 8 TeV [ATLAS-CONF-20253] L=4.6 fb, 7 TeV [20.483] L=4.6 fb, 7 TeV [ ] L=0.5 fb, 8 TeV [ATLAS-CONF-20247] *Only a selection of the available mass limits on new states or phenomena shown. All limits quoted are observed minus σ theoretical signal cross section uncertainty. ATLAS SUSY Searches* - 95% CL Lower Limits (Status: Dec 202) 69 GeV GeV g mass (m( χ ) > 220 GeV) 690 GeV g mass (m( H) > /2-4 F scale (m(g 200 GeV) 645 GeV ) > 0 ev) 0.24 TeV g mass (m( χ ) < 200 GeV) GeV g mass (m( χ ) < 300 GeV) GeV g mass (m( χ ) < 300 GeV) 0.00 TeV g mass (m( χ ) < 300 GeV) 0.5 TeV g mass (m( χ ) < 200 GeV) GeV b mass (m( χ ) < 20 GeV) ± GeV b mass (m( χ ) = 2 m( χ )) 0 t mass (m( χ ) = 55 GeV) 0 ± GeV t mass (m( χ ) = 0 GeV, m( χ ) = 50 GeV) 0 ± GeV t mass (m( χ ) = 0 GeV, m( t)-m( χ ) = 0 GeV) GeV t mass (m( χ ) = 0) GeV t mass (m( χ ) = 0) 0 30 GeV t mass (5 < m( χ ) < 230 GeV) GeV l mass (m( χ ) = 0) ± χ 0 ± GeV mass (m( χ ) < 0 GeV, m( l, ν) = (m( χ ) + m( χ ))) ± ± GeV χ mass (m( χ ) = m( χ ), m( χ ) = 0, m( l, ν) as above) ± ± GeV χ mass (m( χ ) = m( χ ), m( χ ) = 0, sleptons decoupled) ± 2 ± 220 GeV χ mass ( < τ( χ ) < 0 ns) 985 GeV 300 GeV GeV τ,.0 TeV ν + χ τ mass (λ 3 =0.0, λ (2)33 =0.05).2 TeV q = g mass (cτ LSP < mm) GeV mass (m( χ ) > 300 GeV, λ or λ > 0) l mass (m( χ ) > 00 GeV, m( l e )=m( l µ )=m( l τ ), λ or λ > 0) GeV g mass sgluon mass (incl. limit from ) 704 GeV M* scale (m χ < 80 GeV, limit of < 687 GeV for D8) 430 GeV 683 GeV mass.50 TeV q =.24 TeV q = g mass.8 TeV g mass (m(.38 TeV q mass 0 g mass (m( χ.24 TeV g mass.20 TeV g mass 0 g mass (m( χ g mass 900 GeV.07 TeV g mass t mass g mass 0 q) < 2 TeV, light χ ) 0 (m( g) < 2 TeV, light χ ) ± 0 ) < 200 GeV, m( χ ) = (m( χ )+m( g)) 2 (tanβ < 5) (tanβ > 20) ) > 50 GeV) (5 < tanβ < 20) -5, 700 GeV q mass (0.3 0 < λ2 <.5 0,.6 TeV ν τ mass (λ 3 =0.0, λ 32 =0.05) Ldt -5, mm < cτ < m, g decoupled) ATLAS Preliminary = ( ) fb s = 7, 8 TeV 8 TeV results 7 TeV results 0 0 Mass scale [TeV]

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33 Model A P t g t χ 0 Model A2 P g t t t χ 0 g χ 0 g t χ 0 P 2 Model B P b t t χ t W χ 0 P 2 Model B2 P g b b t t χ t W χ 0 P 2 b χ + t W + χ 0 Figure 3: Diagrams for the four SUSY models considered (A, A2, B, and B2). P 2 g b b χ + t W + χ 0

34 m(g) (GeV) m(b ) (GeV) t ) (GeV) m( ) (GeV) χ m( CMS, CMS, s = 8 TeV, s = 8 LTeV, = 0.5 L = 0.5 fb int fb int Model Model A2 A prod Observed Limit prod σ = σ NLO+NLL ± Observed Limit σ = σ NLO+NLL ± σ Expected Limit ± stat. σ Expected Limit ± stat. σ m( χ ) = 50 GeV m( g) (GeV) m( 00 g) (GeV) σ t ± m( χ ) (GeV) ) (GeV) m( 000 s CMS, s = 8 TeV, Lint = 0.5 fb int Model Model A2 B prod Observed Limit σprod Observed Limit σ = σ NLO+NLL Expected Limit ± stat. NLO+NLL ± σ σ 0 m( χ ) Expected = 50 GeV Limit ± stat. σ 0 m( χ ) = 250 GeV m( b 000 ) (GeV) m( 00 g) (GeV) b ) (GeV) m( CMS, s = 8 TeV, L = 0.5 fb m( g) (GeV) int 000 b ) (GeV) CMS, s = 8 TeV, L = 0.5 fb int 000 Model B2 Model B2 igure 4: Exclusion regions prod at 95% CL in the planes of m( ec 0 Observed Limit σ = σ NLO+NLL prod ± σ Observed ) vs. m(eg) (model A), m( ec Limit σ = σ NLO+NLL ± σ ) m( CMS, s = 8 TeV, L = 0.5 fb int Model B2 prod Observed Limit σ = σ NLO+NLL ± σ Expected Limit ± stat. σ 0 m( χ ) = 50 GeV + m( χ ) = 50 GeV 900 Expected Limit ± stat. σ Monday, February m( 3χ ) = 50 GeV b ) (GeV) m( b ) (GeV) m( m( g) (GeV) CMS, s = 8 TeV, L = 0.5 fb int Model B2 prod Observed Limit σ = σ NLO+NLL ± σ Expected Limit ± stat. σ 0 m( χ ) = 50 GeV + m( χ ) = 300 GeV s. m( e b ) (model B), m(et ) vs. m(eg) (model A2), and m( e b ) vs. m(eg) (model B2). Models Expected Limit ± stat. σ 0 m( χ ) = 50 GeV

35 Tree Level Mass H + H u = u H 0 Hu 0 H d = d H d Y Hu =+ Y Hd =

36 where and

37 where and

38 at tree level the lightest Higgs mass upper limit is

39 Lightest Higgs -loop (top-stop enhanced) in the limit of no-mixing

40 in the case of non-zero mixing the correction is where -loop correction adds 20 GeV to the tree-level, assuming the sparticles are < TeV (in no-mixing scenario).

41 dominant 2-loop contribution due to top-stop loops dominant 2-loop correction increases the lightest Higgs mass <0 GeV to the tree-level, assuming the sparticles are < TeV (in nomixing scenario).

42 M h (GeV) loop 2-loop FeynHiggs X t (TeV) Allanach et al. 04

43 Abrey et al., 2 X t p 6M S

44 SuSeFLAV SUpersymmetric SEesaw and Flavour Violation Our Webpage Published in Computer Physics Communications 84 (203) 899

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46 Present Constraints on msugra + Seesaw

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48 the A-terms in the gauge mediation are very small!! So a 25 GeV Higgs is very difficult unless we have a very heavy stop spectrum (beyond LHC )

49 Novel SUSY Scenarios

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53 Our Solution to the problem

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55 RS and compressed Spectrum

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