Correlation between direct dark matter detection and Br(B-s ->mu mu) with a large phase of B-s-B-s mixing
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We combine the analyses for flavor changing neutral current processes and dark matter solutions in minimal-type supersymmetric grand unified theory models, SO(10) and SU(5), with a large Bs-Bs mixing phase and large tan . For large tan , the double-penguin diagram dominates the supersymmetry contribution to the Bs-Bs mixing amplitude. Also, the Br(Bs) constraint becomes important as it grows as tan 6, although it can still be suppressed by a large pseudoscalar Higgs mass mA. We investigate the correlation between Bs and the dark matter direct detection cross section through their dependence on mA. In the minimal-type of SU(5) with type I seesaw, the large mixing in neutrino Dirac couplings results in a large lepton flavor violating decay process , which in turn sets the upper bound on mA. In the SO(10) case, the large mixing can be chosen to be in the Majorana couplings instead, and the constraint from Br() can be avoided. The heavy Higgs funnel region turns out to be an interesting possibility in both cases and the direct dark matter detection should be possible in the near future in these scenarios. 2009 The American Physical Society.