Extraction of SUSY Parameters from Collider DataSUSY 2008 Seoul06/17/2008Dirk ZerwasLAL Orsay Introduction Measurements Reconstruction of fundamental Parameters Summary

Supersymmetry3 neutral Higgs bosons: h, A, H1 charged Higgs boson: Hand supersymmetric particles~~~~~Many different models: MSSM (low scale many parameters) mSUGRA (high scale few parameters) DSS (SUSY with heavy scalars) GMSB AMB NMSSMR-parity production of SUSY particles in pairs (Cascade-) decays to the lightest SUSY particle LSP stable, neutral and weakly interacting: neutralino (1) experimental signature: missing ET fermion boson has no problems with radiative corrections (quadrat. div.) has a light Higgs Boson (

A typical (optimistic) point gluinos and squarks (not too heavy)light sleptonsheavy and light gauginosHiggs boson mass at the LEP limit1 lighter than the lightest : BR 100% 2 BR 90% cascade:qL 2 q R q q1~~~~Physics Interplay of the LHC and ILC G. Weiglein et al~

SPS1aSPS1aSU3LM1M0 (GeV)1007010060m1/2 (GeV)250250300250tan1010610A0 (GeV)-100-300-3000

Edges at the LHChard jets with leptonsinvariant mass: jet-lepton lepton-lepton-jet lepton-lepton less statistics: 1-10fb-1Improvements over past studies: full simulation and reconstruction realistic detector description (with additional distorsions) early Data: 0.5-10fb-1SUSY08: Paul de Jong, Peter Wienemann, talks by CMS

LHC and ILC measurementsSPS1aLinear collider e+e- collisions up to 1TeV LHC: lepton energy scale 0.1%LHC: jet energy scale 1%luminosity 100fb-1for the following continue with SPS1a as exampleLHC: from edges/thresholds to masses: toy/fit

ILC: direct measurements/threshold scans

mass spectra and decays: SOFTSUSY, SUSPECT, FeynHiggs, ISASUSY,SPHENO, SDecay, SUSY-HIT, HDECAY, NMSSMtools, NLO cross sections from Prospino2.0, dark matter: micrOMEGAS, DarkSUSY, IsaRED,Beenakker et alSearch for parameter point, determine errors including treatement of error correlations:Pioneers: G. Blair, W. Porod and P.M. Zerwas (Eur.Phys.J.C27:263-281,2003) /Allanach et al. hep-ph/0403133 FITTINO: P. Bechtle, K. Desch, P. Wienemann with W. Porod (Eur.Phys.J.C46:533-544,2006)SFITTER: R. Lafaye, T. Plehn, M. Rauch, D. Z. (Eur.Phys.J.C54:617-644,2008)GFITTER: M. Goebel, J. Haller, A. Hoecker, K. Moenig, J. Stelzer (EW fit)EW fits plus dark matter: Buchmueller et al, Phys.Lett.B657:87-94,2007 Super-Bayes: R.R. de Austri, R. Trotta, (MCMC, collider observables and dark matter)CMSSM fits and weather forcasts: B. Allanach, K. Cranmer, C. Lester, A. WeberDetermination of Supersymmetric Parametersfrom edges, masses (etc) to fundamental parameters:e.g.: mSUGRAm(Smuon) = f(m0, m1/2, tan)m(Chargino) = f(m1/2, tan,)correlations exp and theoreticaltreatment of theory errors! global ansatz necessarySee Allanach arXiv:0805.2088[hep-ph] for complete list

Information Extraction from Standard Measurements aloneBuchmueller et al:electroweak plus dark matter, bs, bCMSSM 2 slightly better than SMmh=110+8-103GeVAllanach et al:Predict SUSY cross sections at LHC: ~fb and B (high scale parameters)Bayesian measure: same order of magnitude for all parameters (no scale imposed nor unification)slightly higher cross sections in non-Bayesian approach (Profile Likelihood ~maximum instead of measure)SUSY08: Sven Heinemeyer

Lagrangian@GUT scale: mSUGRA First question: do we find the right point?mSUGRA advantage: few parameters, testing ground for studies of principles disadvantage: starts at GUT scale and adds RGE extrapolation, not the most general lagrangianSign() fixed~300 toy experiments: convergence OK with MINUIT alone for LHC (largest errors)!brute force method GRID:disadvantage: NP advantage: computer industry (OECD?)Hypothesis: SUSY particles discovered and discrete quantum numbers (spin) measuredbrute force method MINUIT:disadvantage: starting point

SPS1a Startm01001TeVm1/22501TeVtan1050A0-1000GeV

Lagrangian@GUT scale: mSUGRA SFitter:Markov Chains (efficient sampling in high dimensions, linear in number of parameters)

Full dimensional exclusive likelihood map with the possibility of different types of projections: marginalisation (Bayes) introduces a measure profile likelihood (Frequentist approach) Fittino:Simulated annealingRanked list of minima: secondary minima exist (LHC) discarded by 2 alone interplay with top mass (parameter!)

mSUGRA: Errors RFit Scheme: Hcker, Lacker, Laplace, Lediberder use edges not masses (improvement: 10x)! e-scale correlations at LHC 25-50% impact on error remember the standard model (top quark mass 1GeV at LHC) 10%. No information within theory errors: flat distribution

Higgssleptonssquarks,gluinosneutralinos, charginos3GeV1%3%1%

mSUGRA: Errors LHC and ILCSPA project: precision of the theoretical calculations Eur.Phys.J.C46:43-60,2006 ILC improves by 3-4x on LHC LHC+ILC better than any machine alone theory errors impact the expected precision at all machines also at LHCFittino: the beginning 1 fb-1 1 year low lumi 10 fb-1 3 years nominal 300 fb-1

and then the ILC:SFitter

The LHC neutralino enigmaExchanging 3 and 4 leads to a secondary minimum M0 and M1/2 ok, but tan and A0 more than 2-3 from nominal values so in principle need ILC to see which neutralino are present. the predicted mass of 4 is about 400GeV the predicted branching ratios would lead us to expect more 4 than 3 in the measurement channel in disagrement with the observation general rule: beware of the hidden measurementsThe uniqueness problem: LHC measures the neutralino index in SPS1a? permute: 4 with 3

SPS1a LHCmassesLHCmassesLHCedgesLHCedgesm010099.64100.32.6m1/2250250.11.7248.82.1tan108.10.87.70.73A0-100-19630-18639top1751751175.50.752/p.d.f0-0.2/16-2/11

197.24.82180.84.73----4381.95.1

MSSM19 parameters at the EW scaleno unification of the 1st and 2nd generation 3 neutralino masses at LHC M1, M2, 8 fold ambiguity in Gaugino-Higgsino subspace at the LHC!mix techniques: markov flat full Parameter space MINUIT in 5 best points Markov flat gaugino-higgsino space MINUIT on 15 best points BW pdf on remaining parameters MINUIT on 5 best solutions (all parameters)LHC+ILC: all parameters determined several parameters improved

MSSMRunning up to the GUT scale:G. Blair, W. Porod and P.M. Zerwas (Eur.Phys.J.C27:263-281,2003)P. Bechtle, K. Desch, P. Wienemann with W. Porod (Eur.Phys.J.C46:533-544,2006) SPS1a (SPA1):dashed bands: todays theory errors included unification measured from low energy (TeV) data from LHC+ILCremember: all results valid within a well defined model/hypothesis

A difficult example: SUSY with heavy scalarsN. Bernal, A. Djouadi, P. Slavich JHEP 0707:016,2007 E. Turlay et al. (Proceedings BSM-SUSY les Houches 2007)DSS parameters: MS: decoupling scale, scalar masses m1/2: gaugino mass parameter : Higgs mass parameter At: trilinear coupling at MS tan: mixing angle between Higgs at MSPhenomenology: scalar Mass scale 104 to 16 GeV scalars are at MS fermions O(TeV) SM Higgs h

effective theory below MS at MS matching with complete theory and standard RGEParameter determination at LHC possibleArkani-Hamed & Dimopoulos 2004Giudice, Romanino 2004ATLAS/CMS talks: Paul de Jong, Tapas Sarangi, Daniel Teyssier

Connection Colliders-CosmologyMeasurement of the fluctuations of the cosmic microwave backgroundWMAP CDMh2=0.1270.01 (astro-ph/0603449)Planck CDMh2 ~ 2% SUSY breaking parameters (determined) spectrum and couplings (deduced) darkSUSY, isaRed or micrOMEGAsCDMh2=nLSP*mLSP (relic density)MSUGRA SPS1a (central value irrelevant) LHC : h2 = 0.19060.0033 LHC+ILC: h2 = 0.19100.0003 % precision at LHC, permil LHC+ILC theory errors!NASA/WMAP science teamTemperature range: 200KE. Baltz,M.Battaglia, M.Peskin, T.Wizansky: Phys.Rev.D74:103521,2006 Nojiri et al/Dutta et alComparable precision of CMB and Collider data possibleSPS1a

Summary LHC alone could provide a wealth of measurements for SUSY LHC+ILC is the dream team will collider dark matter property predictions be comparable to WMAP/Planck? LHC is starting now, is SUSY just around the corner?Thank you: Klaus Desch, Remi Lafaye, Tilman Plehn, Michael Rauch, Laurent Serin, Mathias Uhlenbrock, Peter Wienemann Hope to start testing grand unification soon!SFitter+Suspect

MSSMLHC: can assign errors on badly measured parameters

LHC+ILC: all parameters determined several parameters improved