Dark matter and Bs → μ+ μ- with minimal SO10 soft SUSY breaking II -: art. no. 029

We update and extend to larger masses our previous analysis of the MSSM with minimal SO10 [MSO10SM] soft SUSY breaking boundary conditions. We find a well-defined, narrow region of parameter space which provides the observed relic density of dark matter, in a domain selected to fit precision electroweak data, including top, bottom and tau masses. The model is highly constrained which allows us to make several predictions. We find the light Higgs mass m(h) less than or similar to 121 +/- 3GeV and also upper bounds on the mass of the gluino m(g) less than or similar to 3.1 TeV and lightest neutralino m(chi) less than or similar to 450GeV. As the CP odd Higgs mass m(A) increases, the region of parameter space consistent with WMAP data is forced to larger values of M-1/2 and smaller values of m(h). Hence, we find an upper bound m(A) less than or similar to 1.3 TeV. This in turn leads to lower bounds on BR(B-s -> mu(+) mu(-)) > 10(-8) ( assuming minimal flavor violation) and on the dark matter spin independent detection cross section sigma(p)(SI) > 10(-9) pb. Finally, we extend our previous analysis to include WIMP signals in indirect detection and find prospects for WIMP detection generally much less promising than in direct WIMP searches.