The CMSSM parameter space at large tanβ

We extend previous combinations of LEP and cosmological relic density constraints on the parameter space of the constrained MSSM, with universal input supersymmetry-breaking parameters, to large tanβ. We take account of the possibility that the lightest Higgs boson might weigh about 115 GeV, but also retain the possibility that it might be heavier. We include the most recent implementation of the b→sγ constraint at large tanβ. We refine previous relic density calculations at large tanβ by combining a careful treatment of the direct-channel Higgs poles in annihilation of pairs of neutralinos χ with a complete treatment of χ– coannihilation, and discuss carefully uncertainties associated with the mass of the b quark. We find that coannihilation and pole annihilations allow the CMSSM to yield an acceptable relic density at large tanβ, but it is consistent with all the constraints only if m_χ>140 (180) GeV for μ>0 (μ<0) for our default choices  GeV, m_t=175 GeV, and A₀=0.