Large loop effects of extra SUSY Higgs doublets to CP violation in B⁰ mixing

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We consider more than one pair of SU(2)ₗ doublet Higgs supermultiplets in a generic supersymmetric extension of the standard model, and calculate their one-loop contributions to the soft mass insertions deltaLL etc. We find that if large supersymmetry breaking in this sector is realized, the loop effects can give rise to large contributions to the soft mass insertions, meaning that they We apply our result to a recently proposed model based on the discrete Q₆ family group, and calculate the non-diagonal matrix element M₁₂ of the neutral meson systems. We focus our attention on the extra phases phid,ₛᵈelta in Bd,ₛ-mixing and flavor-specific CP-asymmetries aslᵈ,ˢ in neutral B decays and obtain values that can be about one order of magnitude larger than the standard model predictions. Our final results are comparable with the recent experimental observations at D0 and CDF, but they are still about a factor of 5 smaller than the recently measured dimuon asymmetry from D0.