Status of Supersymmetric Models

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

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

S/(S+B) Weighted Events /.5 GeV 500 000 500 0 CMS s = 7 TeV, L = 5. fb Data S+B Fit B Fit Component ±σ ±2 σ Events /.5 GeV 500 000 = 8 TeV, L = 5.3 fb 0 20 30 40 50 m γ γ (GeV) s Unweighted 20 30 m γγ (GeV)

6 5 4 July 20 Theory uncertainty Δα had = Δα (5) 0.02750±0.00033 0.02749±0.0000 incl. low Q 2 data m Limit = 6 GeV Δχ 2 3 2 Excluded 0 30 00 300 m H [GeV]

The Structure of MSSM

Supersymmetry breaking

Some traditional Models

Two loop diagrams contributing to soft masses

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

Experimental Status

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 +- + 0 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 +- + 0 0 χ χ, χ Wχ, χ eeν : 4 lep + E + - 0 0,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 [208.4688], 7 TeV [208.4688] L=4.7 fb, 7 TeV [20.34] L=4.8 fb, 7 TeV [209.0753] 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 [208.4305, 209.202] 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 [208.447,208.2590,209.486] L=2. fb, 7 TeV [204.6736] L=4.7 fb, 7 TeV [208.2884] L=4.7 fb, 7 TeV [208.2884] L=3.0 fb, 8 TeV [ATLAS-CONF-20254] L=3.0 fb, 8 TeV [ATLAS-CONF-20254] L=4.7 fb, 7 TeV [20.2852] 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 [20.4826] 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 0 900 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) 0 850 GeV g mass (m( χ ) < 300 GeV) 0 860 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) 0 620 GeV b mass (m( χ ) < 20 GeV) ± 0 405 GeV b mass (m( χ ) = 2 m( χ )) 0 t mass (m( χ ) = 55 GeV) 0 ± 60-350 GeV t mass (m( χ ) = 0 GeV, m( χ ) = 50 GeV) 0 ± 60-440 GeV t mass (m( χ ) = 0 GeV, m( t)-m( χ ) = 0 GeV) 0 230-560 GeV t mass (m( χ ) = 0) 0 230-465 GeV t mass (m( χ ) = 0) 0 30 GeV t mass (5 < m( χ ) < 230 GeV) 0 8595 GeV l mass (m( χ ) = 0) ± χ 0 ± 0 0-340 GeV mass (m( χ ) < 0 GeV, m( l, ν) = (m( χ ) + m( χ ))) ± ± 0 2 0 580 GeV χ mass (m( χ ) = m( χ ), m( χ ) = 0, m( l, ν) as above) ± ± 0 0 2 40-295 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 00-287 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) 0 700 GeV mass (m( χ ) > 300 GeV, λ or λ > 0) 0 2 22 l mass (m( χ ) > 00 GeV, m( l e )=m( l µ )=m( l τ ), λ or λ > 0) 2 22 666 GeV g mass sgluon mass (incl. limit from 0.2693) 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 = (2. - 3.0) fb s = 7, 8 TeV 8 TeV results 7 TeV results 0 0 Mass scale [TeV]

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

m(g) (GeV) m(b ) (GeV) t ) (GeV) m( 000 800 ) (GeV) 900 800 0 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 700 600 0 700 500 m( χ ) = 50 GeV 600 400 500 300 400 200 300 00 200 00 400 500 600 700 800 900 000 m( 00 400 500 600 700 800 900 000 g) (GeV) m( 00 g) (GeV) σ t ± m( χ ) (GeV) ) (GeV) m( 000 s CMS, s = 8 TeV, Lint = 0.5 fb int 900 300 800 700 250 600 200 500 400 50 300 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 200 00 00 250 300 350 400 450 400 500 600 700 800 900 m( b 000 ) (GeV) m( 00 g) (GeV) b ) (GeV) m( 00 000 900 800 700 600 500 400 300 200 300 00 400 500 600 700 800 900 000 00 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 800 0 Monday, February m( 3χ ) = 50 GeV b ) (GeV) m( b ) (GeV) m( 00 000 900 800 700 600 500 400 300 200 00 300 400 500 600 700 800 900 m( 000 00 g) (GeV) 900 800 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

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

where and

where and

at tree level the lightest Higgs mass upper limit is

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

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).

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).

40 30 20 M h (GeV) 0 00 90 -loop 2-loop FeynHiggs 80-4 -3-2 0 2 3 4 X t (TeV) Allanach et al. 04

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

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

Present Constraints on msugra + Seesaw

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 )

Novel SUSY Scenarios

Our Solution to the problem

RS and compressed Spectrum