SUSY And Exotica - University Of Cambridge

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SUSY and ExoticabyBen Allanach (University of Cambridge)Talk outline SUSY FitsImpact of LHC dataSUSY TacticsExotica and AF B (tt̄)Please ask questions while I’m talkingSUSY and ExoticaB.C. Allanach – p. 1

A Problem With the Higgs BosonThe Higgs boson mass receives quantum correctionsfrom heavy particles in the theory:F2 Znaλdkh λhλ .22216πk mFFQuantum correction to Higgs mass:physmh O(mF /100). 126 GeV/c2 mtreehmF 1019 GeV/c2 is heaviest mass scale present.SUSY and ExoticaB.C. Allanach – p. 2

Electroweak BreakingBoth Higgs get vacuum expectation values: 0 H1v1H20 0H10H2v2and to get MW correct, match with vSM 246 GeV:vSMβv1v2tan β v2v1L ht t̄L H20 tR hb b̄L H10 bR hτ τ̄L H10 τRhb,τ vSMmtmb,τht vSM , .sin βcos β22SUSY and ExoticaB.C. Allanach – p. 3

Supersymmetric CopiesHSUSY and ExoticaB.C. Allanach – p. 4

Supersymmetric CopiesH 2SUSY and ExoticaH̃ 2B.C. Allanach – p. 4

ImplementationWe use 95% C.L. direct search constraints ΩDM h2 0.1143 0.02 micrOMEGAs δ(g 2)µ /2 (29.5 8.8) 10 10 Stöckinger et al B physics observables including SusyBSGBR[b sγ]Eγ 1.6 GeV (3.52 0.38) 10 4 , BR(Bs µµ) 1.1 10 8 micrOMEGAsElectroweak data W Hollik, A Weber et al2 ln L SUSY and ExoticaXiχ2i c X (pi ei )2iσi2 cB.C. Allanach – p. 5

Additional observables(g 2)µδ 13 10 102χ iµν̃ 100 GeVMSU SYγµ 2tan βγµ̃µχ01µBR[b sγ] tan β(MW /MSU SY )2χ ibSUSY and Exoticat̃iγsγH btsB.C. Allanach – p. 6

ATLAS Weighted Fits0.4Allanach, Khoo, Lester and Williams Mar, 201110.350.40.80.60.20.40.15m0 m1/2 (TeV)0.80.20.10.05000.20.40.6m1/2 (TeV)Again, we assume A0 -tan β independence andinterpolate across m0 and m1/2 . CMS 35 pb 1 ,ATLAS 35 pb 1 , CMS 1 fb 1SUSY and Exotica10.350.80.3m0 (TeV)Allanach, Khoo, Lester and Williams Mar, 20110.8B.C. Allanach – p. 7

CMS/ATLAS Weighted Fits0.12Allanach, Khoo, Lester and Williams, Mar 20110.08Incl. ATLASExcl. CMS/ATLASIncl. CMS0.1Allanach, Khoo, Lester and Williams, Mar 2011Incl. ATLASExcl. ATLASIncl. 500 1000 1500 2000 2500 3000mq /GeV0500L0.09Allanach, Khoo, Lester and Williams, Mar 20110.14Incl. ATLASExcl. ATLASIncl. CMS0.080.071000mg/GeV15002000Allanach, Khoo, Lester and Williams, Mar 2011Incl. ATLASExcl. ATLASIncl. 000100200 300mχ0/GeV1SUSY and Exotica4005000200400 600me /GeV8001000RB.C. Allanach – p. 8

Prospects for SUSYStill look good! 5fb 1 expected before christmas0.16Allanach, Khoo, Lester and Williams, Mar 2011Incl. ATLASExcl. ATLASIncl. CMS0.140.120.10.080.060.040.020-6SUSY and Exotica-4-202log10(σSUSY/pb)46B.C. Allanach – p. 9

pMSSM Fits25 pMSSM input parameters are: M1,2,3 , At,b,τ,µ , mH1,2 , tan β,md R,L ms̃R,L , mũR,L mc̃R,L , mẽR,L mµ̃R,L , mt̃,b̃,τ̃ R,Lmt , mb (mb ) αs (MZ )M S , α 1 (MZ )M S , MZ . Combined Bayesianfita : OObservableMeasurementFit(Log)mW [GeV]80.399 0.02580.402Γ Z [GeV]2.4952 0.00252.49640.2324 0.00120.231430.20 9.0226.740Rl20.767 0.02520.760Rb0.21629 0.000660.21962Rc0.1721 0.00300.1723Ae0.1513 0.00210.1483Ab0.923 0.0200.935Ac0.670 0.0270.6850.0992 0.00160.10400.071 0.0350.074effsin2 θlepδ (g-2)µ 1010bAFBcAFBBR(B X s γ ) 10RBR(Bu τ ν)43.55 0.423.421.11 0.321.00R M1.15 0.401.00 0-0.0375 0.02890.0748Ω CDMh20.11 0.020.13Bsmeas- O / σmeasfit01230123a S.S.AbdusSalam, BCA, F. Quevedo, F. Feroz, M. Hobson, PRD81(2010) 985012, arXiv:0904.2548SUSY and ExoticaB.C. Allanach – p. 10

Spectrum0.10.12 0.14mh0.5 1 1.5 2mχ̃0324mA mH mH 2mχ̃044 4 2 0 2µ[ 103 ]12mχ̃ 0.5 1 1.5 2mχ̃01312mχ̃ 24102mχ̃022mg̃34Obtained with MultiNesta algorithm in 16 CPUyears. Prior dependence is useful: which predictionsare robust?aSUSY and ExoticaFeroz, Hobson arxiv:0704.3704B.C. Allanach – p. 11

Collider SUSY ProductionStrong sparticle production and decay to dark matterparticles.qqqqp7 TeVp7 TeVq,gq,gInteraction q qqqχ 01χ 01Any (light enough) dark matter candidate that couplesto hadrons can be produced at the LHCSUSY and ExoticaB.C. Allanach – p. 12

αT , M ET , MT2 SearchesCMS: jets and missing energy arXiv:1101.1628PNjet ji 1L 35 pb . HT i 1 pT 350 GeV.X jX j(1) pTi . HT pTi ji Aji BOne then calculates(2)where H/T SUSY and ExoticaHT HTαT q 0.5522/T2 HT HqPNjet ji 2PNjet ji 2( i 1 px ) ( i 1 py ) .B.C. Allanach – p. 13

Cue MT2(i) 2(i)mT (pT (i) , q/T )(i)(i)(i)·q 2p 2 pT (i) q/T/TT(i)where q/ T is the missing transverse momentum fromi. The variable MT 2 is defined by: on (2)(1)PMT 2 (pT (1) , pT (2) , p) min,mmaxm/Tq/ T p/TTT(1,2)The minimization is over all values of q/TPconsistent with q/T p/ T . For the SUSY search,the unknown undetected particle masses are set tozero in MT 2 .SUSY and ExoticaB.C. Allanach – p. 14

number of events/ 10GeV/ 100pb 1MT2 SearchSUSY signal (SPS1a)103Z l l (l e, µ, τ) Z ννW lν (l e, µ, τ)102ttQCD1010100200300400500600mT2 [GeV]Figure 1: Only cuts: Nj 1, pT 50 GeV, L 1100pb at s 7 TeV. Barr, Gwenlan PRD80 (2009) 074007.SUSY and ExoticaB.C. Allanach – p. 15

MT 2 vmissETBCA, Barr, Dafinca, Gwenlan, JHEP 1107 (2011) 104,arXiv:1105.1024SUSY and ExoticaB.C. Allanach – p. 16

Compressed SpectraSUSY and ExoticaB.C. Allanach – p. 17

Compressed Spectra IILeCompte, Martin, arXiv:1105.4304SUSY and ExoticaB.C. Allanach – p. 18

BenchmarksCurrently wea are devising SUSY benchmark models.It’s imminent. CMSSM, NUHM, mAMSB, mGMSB, RPV andsome simplified models (via pMSSM) aredefined. Defining interesting parameter planes:identifying important parameters which controlthe masses of sparticles in each case. Discrete set of points along monotonic lines: nextpoint for the experiments to study is defined asthe lightest one that is not ruled out to 95% CL.aS.S. AbdusSalam, BCA H. Dreiner, J. Ellis, S. Heinemeyer,M. Krämer, M. Mangano, K.A. Olive, S. Rogerson, L. Roszkowski,SUSY and ExoticaB.C. Allanach – p. 19

AF B (tt̄)AF BAF B (CDF )lj llAF B (D0)ljSUSY and ExoticaN (yt yt̄ ) N (yt̄ yt ) N (yt yt̄ ) N (yt̄ yt ) (20.9 6.6)%, (19.6 6.5)%,B.C. Allanach – p. 20

CDFSeems to be increasing with mass. Lepton charge isnice verification.SUSY and ExoticaB.C. Allanach – p. 21

Mtt̄SUSY and ExoticaB.C. Allanach – p. 22

AF B ExoticaMust not disturb σtt̄ or dσtt̄ /dMtt̄ axigluonsa SUSY and ExoticaZ ′ /W ′bB.C. Allanach – p. 23

LHC AsymmetryDefined LHC charge asymN ( yt yt̄ ) N (yt̄ yt )AC N ( yt yt̄ ) N (yt̄ yt )SM discovery would take 60 fb 1 at 5σ, but newphysics quicker (Z ′ takes 2 fb 1 )SAT LASACM 1.6 3 1%A 2.4 1.6 2.3%CCSUSY and ExoticaB.C. Allanach – p. 24

Models SUSY and ExoticaaZ ′ model is rather odd: only contains a vertexcoupling utZ ′ , eg MZ ′ 800 GeV, gZ 3.4:predicts significant same sign tops.W ′ models also covered by LHC experiments bynow.Heavy axigluon models eg 2 TeV, gq -gt 2.4 areruled out by LHC mjj searchesRecent proposala : axigluons g 0.4-0.8,M 50 90 GeV. They evade jet data becausethe have masses below current limits.Non-resonant production suppresses new physicscontribution to σtt̄ .Krnjaic, arXiv:1109.0648B.C. Allanach – p. 25

Shopping ListThings that the CMS/ATLAS always provide that weneed: Cuts and numbers of events observed past them Expected background numbers with systematicerrorsWe could really do with: Keeping in mind: we can’t combine analyses thatuse the same events: much better to keep theevents disjoint. Doesn’t preclude fully inclusiveanalysis, but make the others as disjoint aspossible. Likelihood versus predicted number of eventspast cuts (before efficiency correction). Ideally,sanitized RooStatsSUSY and ExoticaB.C. Allanach – p. 26

Shopping List IIFailing that, then we must calculate the likelihood: Systematic errors on signals: perhaps at least arange over parameter space in one model. Ideally,it would be parameterised in terms of importantquantities. Other contours (eg 1/5 sigma exclusion contours)so we can check our likelihood away from 95%excluded region. Numbers in histogram plots attached to arXivpublicationSUSY and ExoticaB.C. Allanach – p. 27

Summary SUSY and ExoticaLHC analyses providing a nice amount ofinformation for interpretation of data. There’salways room for improvement.SUSY is late to the party, but not late enough tobe reported missingCMSSM could well be discovered this/next yearCurrent searches reach squark and gluino massesof 980 GeV. This will be extended to 1100GeV next year, covering much of the good-fitregion.tt̄ asymmetry situation extremely murky. Manyheavy axigluon models now ruled out.B.C. Allanach – p. 28

Supplementary MaterialSUSY and ExoticaB.C. Allanach – p. 29

CMS αT SearchCMS: jets and missing energy arXiv:1101.1628PNjet ji 1L 35 pb . HT i 1 pT 350 GeV.X jX j(3) pTi . HT pTi ji Aji BOne then calculates(4)where H/T SUSY and ExoticaHT HTαT q 0.5522/T2 HT HqPNjet ji 2PNjet ji 2( i 1 px ) ( i 1 py ) .B.C. Allanach – p. 30

ResultsSUSY and ExoticaB.C. Allanach – p. 31

ATLAS 0-lepton, jets and p/Tmef f P(j)pT /pT ,(i) 2mT (pT (i) , q/ T (i) ) 2 pT (i) q/ T (i) 2pT (i) · q/ T (i)where q/ T (i) is the transverse momentum of particle(i). For each event, it is a lower bound on m(N LSP ). on (2)(1)(2)(1)PMT 2 (pT , pT , p/ T ) min q/ T p/ T max mT , mTSUSY and ExoticaB.C. Allanach – p. 32

Candidate Event: High ET (j)SUSY and ExoticaB.C. Allanach – p. 33

MSSM Exclusion:ModelSUSY and ExoticaSimplifiedB.C. Allanach – p. 33

SUSY and Exotica by Ben Allanach (University of Cambridge) Talk outline SUSY Fits Impact of LHC data SUSY Tactics Exotica and AFB(t t) Please ask questions while I’m talking SUSY and Exotica B.C. Allanach – p. 1

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