Combining the muon anomalous magnetic moment with other constraints on the CMSSM

We combine the constraint suggested by the recent BNL E821 measurement of the anomalous magnetic moment of the muon on the parameter space of the constrained MSSM (CMSSM) with those provided previously by LEP, the measured rate of b→sγ decay and the cosmological relic density Ωχh2. Our treatment of Ωχh2 includes carefully the direct-channel Higgs poles in annihilation of pairs of neutralinos χ and a complete analysis of χ−ℓ̃ coannihilation. We find excellent consistency between all the constraints for tanβ≳10 and μ>0, for restricted ranges of the CMSSM parameters m0 and m1/2. All the preferred CMSSM parameter space is within reach of the LHC, but may not be accessible to the Tevatron collider, or to a first-generation e+e− linear collider with centre-of-mass energy below 1.2 TeV.