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

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Constrained mssm
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


Radiative ew symmetry breaking
Radiative EW Symmetry Breaking

For given

μ - problem

Soft SUSY parameters

Hard SUSY parameter


Constrained mssm choice of constraints
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


B s decay rate
B->s γ decay rate

MSSM

Standard Model

~

~

~

~

~

~

~

~

~

~

~

~

~

W±, H±

SM:

MSSM

H

Experiment


Constrained mssm choice of constraints1
ConstrainedMSSM(Choice of constraints)

Data on rare processes branching ratios

Regions excluded by experimental limits (for large tanβ)

tan β =50

tan β =35


Rare decay bs
Rare Decay Bs → μ+ μ-

SM

SM: Br=3.5٠10-9

Ex: <4.5٠ 10-8

Main SYSY contribution

2

~


Constrained mssm choice of constraints2
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



Constrained mssm choice of constraints3
Constrained MSSM (Choice of constraints)

Muon anomalous magnetic moment

Regions excluded by muon amm constraint

tan β =50

tan β =35


Constrained mssm choice of constraints4
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


Favoured regions of parameter space
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


Allowed regions after wmap
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


Susy masses in mssm
SUSY Masses in MSSM

Gauginos+Higgsinos

Squarks and Sleptons


Mass spectrum in cmssm
Mass Spectrum in CMSSM

(Sample)

SUSY Masses in GeV

Fitted SUSY Parameters

95

115


The lightest superparticle
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


Susy dark matter
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


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