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We examine the parameter space of the constrained MSSM by considering variousexperimental constraints. For the dark matter sector, we require the neutralinodark matter to account for the relic density measured by the WMAP and satisfythe XENON limits on its scattering rate with the nucleon. For the colliderconstraints, we consider all relevant direct and indirect limits from LEP,Tevatron and LHC as well as the muon anomalous magnetic moment. Especially, forthe limits from B_s->\mu^+\mu^-, we either directly consider its branchingratio with the latest LHC data or alternatively consider the double ratio ofthe purely leptonic decays defined by [Br(B_s->\mu^+\mu^-)/Br(B_u->\tau\nu_\tau)]/[Br(D_s->\tau \nu_\tau)/Br(D->\tau \mu_\tau)]. We find that underthese constraints, the mass of the lightest Higgs boson (h) in both the CMSSMand the NUHM2 is upper bounded by about 124 GeV (126 GeV) before (after)considering its theoretical uncertainty. We also find that for these models thedi-photon Higgs signal at the LHC is suppressed relative to the SM prediction,and that the lower bound of the top-squark mass goes up with m_h, reaching 600GeV for m_h=124 GeV.

Current experimental constraints on the lightest Higgs boson mass in the constrained MSSM