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Constrained MSSM

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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

For given

μ - problem

Soft SUSY parameters

Hard SUSY parameter

Experimental lower limits on Higgs and superparticle masses

Regions excluded by Higgs experimental limits provided by LEP2

tan β =35

tan β =50

MSSM

Standard Model

~

~

~

~

~

~

~

~

~

~

~

~

~

W±, H±

SM:

MSSM

H

Experiment

Data on rare processes branching ratios

Regions excluded by experimental limits (for large tanβ)

tan β =50

tan β =35

SM

SM: Br=3.5٠10-9

Ex: <4.5٠ 10-8

Main SYSY contribution

2

~

Data on rare processes branching ratios

Regions excluded by experimental limits (for large tanβ)

tan β =50

tan β =35

27±10

EW

Muon anomalous magnetic moment

Regions excluded by muon amm constraint

tan β =50

tan β =35

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

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

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

Gauginos+Higgsinos

Squarks and Sleptons

(Sample)

SUSY Masses in GeV

Fitted SUSY Parameters

95

115

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

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