On the Higgs mass in the CMSSM

We estimate the mass of the lightest neutral Higgs boson h in the minimal supersymmetric extension of the Standard Model with universal soft supersymmetry-breaking masses (CMSSM), subject to the available accelerator and astrophysical constraints. For m(1) = 174.3 GeV, we find that 114 GeV < m(h) < 127 GeV and a peak in the tan beta distribution similar or equal to 55. We observe two distinct peaks in the distribution of m(h) values, corresponding to two different regions of the CMSSM parameter space. Values of m(h) < 119 GeV correspond to small values of the gaugino mass m(1/2) and the soft trilinear supersymmetry-breaking parameter A(0), lying along coannihilation strips, and most of the allowed parameter sets are consistent with a supersymmetric interpretation of the possibly discrepancy in g(mu) - 2. On the other hand, values of m(h) > 119 GeV may correspond to much larger values of m(1/2) and A(0), lying in rapid-annihilation funnels. The favoured ranges of m(h) vary with m(t), the two peaks being more clearly separated for m(t) = 178 GeV and merging for m(t) = 172.7 GeV. If the g(mu) - 2 constraint is imposed, the mode of the m(h) distribution is quite stable, being 117 GeV for all the studied values of mt. (c) 2005 Published by Elsevier B.V.