On the Higgs Mass in the CMSSM
Abstract
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 mt = 174.3 GeV, we find that 114 GeV < mh < 127 GeV and a peak in the tan beta distribution simeq 55. We observe two distinct peaks in the distribution of mh values, corresponding to two different regions of the CMSSM parameter space. Values of mh < 119 GeV correspond to small values of the gaugino mass m1/2 and the soft trilinear supersymmetry-breaking parameter A0, lying along coannihilation strips, and most of the allowed parameter sets are consistent with a supersymmetric interpretation of the possibly discrepancy in gmu - 2. On the other hand, values of mh > 119 GeV may correspond to much larger values of m1/2 and A0, lying in rapid-annihilation funnels. The favoured ranges of mh vary with mt, the two peaks being more clearly separated for mt = 178 GeV and merging for mt = 172.7 GeV. If the gmu - 2 constraint is imposed, the mode of the mh distribution is quite stable, being sim 117 GeV for all the studied values of mt.
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