1. Constrained MSSM Requirements: • Unification of the gauge couplings • Radiative EW Symmetry Breaking • Heavy quark and lepton masses • Rare decays (b -> sγ, b->μμ) • Anomalous magnetic moment of muon • LSP is neutral • Amount of the Dark Matter • Experimental limits from direct search Allowed region in the parameter space of the MSSM

2. Radiative EW Symmetry Breaking For given μ - problem Soft SUSY parameters Hard SUSY parameter

3. ConstrainedMSSM (Choiceofconstraints) Experimental lower limits on Higgs and superparticle masses Regions excluded by Higgs experimental limits provided by LEP2 tan β =35 tan β =50

4. B->s γ decay rate MSSM Standard Model ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ W±, H± SM: MSSM H Experiment

5. ConstrainedMSSM(Choice of constraints) Data on rare processes branching ratios Regions excluded by experimental limits (for large tanβ) tan β =50 tan β =35

6. Rare Decay Bs → μ+ μ- SM SM: Br=3.5٠10-9 Ex: <4.5٠ 10-8 Main SYSY contribution 2 ~

7. Constrained MSSM (Choice of constraints) Data on rare processes branching ratios Regions excluded by experimental limits (for large tanβ) tan β =50 tan β =35

8. Anomalous magnetic moment 27±10 EW

9. Constrained MSSM (Choice of constraints) Muon anomalous magnetic moment Regions excluded by muon amm constraint tan β =50 tan β =35

10. Constrained MSSM (Choice of constraints) The lightest supersymmetric particle (LSP) is neutral. This constraint is aconsequence of R-parity conservation requirement Regions excluded by LSP constraint tan β =35 tan β =50

11. Favoured regions of parameter space Pre-WMAP allowed regions in the parameter space. From the Higgs searches tan β>4, from aμmeasurements μ >0 tan β =35 tan β =50

12. Allowed regions after WMAP In allowed region one fulfills all the constraints simultaneously and has the suitable amount of the dark matter LSP charged WMAP Narrow allowed region enables one to predict the particle spectra and the main decay patterns Higgs EWSB Phenomenology essentially depends on the region of parameter space and has direct influence on the strategy of SUSY searches tan β =50

13. SUSY Masses in MSSM Gauginos+Higgsinos Squarks and Sleptons

14. Mass Spectrum in CMSSM (Sample) SUSY Masses in GeV Fitted SUSY Parameters 95 115

15. The Lightest Superparticle property signature • Gravity mediation jets/leptons stable • Gauge mediation stable photons/jets lepton stable • Anomaly mediation lepton stable • R-parity violation LSP is unstable  SM particles Rare decays Neutrinoless double  decay • Modern limit

16. SUSY Dark Matter Neutralino = SUSY candidate for the cold Dark Matter Neutralino = the Lightest Superparticle (LSP) = WIMP photino zino higgsino higgsino • Superparticles are created in pairs • The lightest superparticle is stable