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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
Requirements:
Allowed regionin the parameterspace of the MSSM
0 0 1/ 2, , , , tanA m M µ !
0 1/ 2100 GeV , , 2 TeVm M µ! !0 0 03 3 , 1 tan 70m A m !" # # # #
Radiative EW Symmetry Breaking
1 2
2 2 222
2
tan2 tan 1
H HZm mM !
µ!
"= " +
"2µ
tan !For given
0 1/ 2 and m m
1 1 0 1 TeVH Hm m m! ! ! 1 TeVµ !
Soft SUSY parameters Hard SUSY parameterµ - problem
Constrained MSSM ( (Choice of constraints)Experimental lower limits on Higgs and superparticle masses
tan β =35 tan β =50
114.3 GeVHiggsm !Regions excluded by Higgs experimental limits provided by LEP2
B->s γ decay rateStandard ModelStandard Model MSSMMSSM
~ ~ ~ ~
~ ~
~
~
~ ~~
H
W±, H±~ ~
4( ) (3.43 0.36) 10sB B X ! "# = ± $
SM:
MSSM
Experiment
Constrained MSSM (Choice of constraints)Data on rare processes branching ratios
tan β =35 tan β =50
4( ) (3.43 0.36) 10sB B X ! "# = ± $Regions excluded by experimental limits (for large tanβ)
Rare Decay Bs → µ+ µ-
SM: Br=3.5٠۰10-9
2
~
Ex: <4.5٠۰ 10-8
Main SYSYcontribution
SM
Constrained MSSM (Choice of constraints)Data on rare processes branching ratios
tan β =35 tan β =50
7( ) 3.7 10B Bs µ µ+ ! !" < #Regions excluded by experimental limits (for large tanβ)
211 2
2 2
( ) 4 100 GeV| | (1 ) 140 10 ( )8
SUSY SUSYZ
W SUSY SUSY
m MMa tan log tan
Sin M m Mµ
µµ
! !" "# $ #
%% &! !
Anomalous magnetic moment
EW
27±10
Constrained MSSM (Choice of constraints)Muon anomalous magnetic moment
Regions excluded by muon amm constraint
exp 10(27 10) 10tha a aµ µ µ!" = ! = ± #
tan β =35 tan β =50
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 =35 tan β =50
Favoured regions of parameter space
From the Higgs searches tan β >4, from aµ measurements µ >0
Pre-WMAP allowed regions in the parameter space.
tan β =35 tan β =50
In allowed region one fulfills allthe constraints simultaneouslyand has the suitable amount ofthe dark matter
Narrow allowed region enables oneto predict the particle spectra andthe main decay patterns
Allowed regions after WMAP
WMAPLSPcharged
Higgs EWSB
tan β =50
Phenomenology essentially dependson the region of parameter space andhas direct influence on the strategy ofSUSY searches
Global Fit to data in fullParameter Space
SUSY Masses in MSSMGauginos+Higgsinos Squarks and Sleptons
Mass Spectrum in CMSSM
372, 3831340, 1344A, H115, 37295, 1344h, H906, 1046727, 10171309, 1152953, 10101305, 1288279, 4031519, 15231028, 93614952901497, 1499303, 2705161155110, 130413, 1026194, 2291028, 101664, 113214, 413
High tan βLow tan βSymbol
SUSY Masses in GeV
Fitted SUSY Parameters
16
1.6 •10 16
1.6 •10M GUT
24.824.81/α GUT
00A(0)
5581084µ(0)170500m 1/2
1500200m 0
52.21.71tan β
High tan βLow tan βSymbol
±
0 03 1 4 2( ), ( )H H! !! !! !
0 0 31 2( ), ( )B W! !! !! !
1 2( ), ( )W H! !± ± ± ±! !! !
g!,L Re e! !
L!!,L Rq q! !
1 2,! !! !
1 2,b b! !
1 2,t t! !
(Sample)
95 115
The Lightest Superparticle
• Gravity mediation LSP = !!1
0stable
property signature
jets/leptons E+ T
• Gauge mediation LSP = G! stable E T
NLSP =!!1
0
l"R
"#$
%$ !!
1
0"# G!,hG!,ZG! photons/jets E+ T
l!
R !"G" lepton E+ T
• Anomaly mediation
LSP =!!1
0
"" L
#$%
&%
stable
stablelepton E+ T
• R-parity violation LSP is unstable ® SM particles
Rare decaysNeutrinoless double β decay• Modern limit 40 GeVLSPM !
SUSY Dark MatterNeutralino = SUSY candidate for the cold Dark MatterNeutralino = the Lightest Superparticle (LSP) = WIMP
!! 0
= N1"" + N2 z" + N3 H!1
0+ N4 H! 2
0
photino zino higgsino higgsino
exp 40 GeVM ! "
40 400 GeVtheorM ! = ÷
• Superparticles are created in pairs• The lightest superparticle is stable
!
3( ) 2( 1)1, 1
B L S
p p
RR R
! += != + = !