1. Constrained MSSM 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 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 Requirements: Allowed region in the parameter space of the MSSM

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

3. ( Constrained MSSM ( Choice of constraints) Experimental lower limits on Higgs and superparticle masses tan β =35tan β =50 Regions excluded by Higgs experimental limits provided by LEP2

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

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

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

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

8. Anomalous magnetic moment EW 27±10

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

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

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

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

13. SUSY Masses in MSSM Gauginos+HiggsinosSquarks and Sleptons

14. Mass Spectrum in CMSSM Symbol Low tan  High tan  214, 41364, 113 1028, 1016194, 229 413, 1026110, 130 1155516 303, 2701497, 1499 2901495 1028, 9361519, 1523 279, 4031305, 1288 953, 10101309, 1152 727, 1017906, 1046 h, H95, 1344115, 372 A, H1340, 1344372, 383 SUSY Masses in GeV Fitted SUSY Parameters Symbol Low tan  High tan  tan  1.7152.2 m 0 2001500 m 1/2 500170  (0) 1084558 A(0)00 1/  GUT 24.8 M GUT 16 1.6 10 16 1.6 10 (Sample) 95115

15. The Lightest Superparticle Gravity mediation stable propertysignature jets/leptons Gauge mediation stable photons/jets lepton Anomaly mediation stable lepton 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