Correlation between direct dark matter detection andBr(Bs→μμ)with a large phase ofBs−B¯smixing

Abstract

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 B s -B s mixing phase and large tanβ. For large tanβ, the double-penguin diagram dominates the supersymmetry contribution to the B s -B s mixing amplitude. Also, the Br(B s → μμ) constraint becomes important as it grows as tan 6 β, although it can still be suppressed by a large pseudoscalar Higgs mass m A . We investigate the correlation between B s → μμ and the dark matter direct detection cross section through their dependence on m A . 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 τ → μγ, which in turn sets the upper bound on m A . In the SO(10) case, the large mixing can be chosen to be in the Majorana couplings instead, and the constraint from Br(τ → μγ) 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.