Testing the new CP phase in a supersymmetric model with Q6 family symmetry by Bs mixing

The new contribution to the non-diagonal matrix element M12 of the neutral Bs meson system is investigated in a supersymmetric extension of the standard model based on the discrete Q6 family symmetry. We assume that CP is explicitly, but softly broken only by the b terms in the soft supersymmetry breaking sector. We find that the new contributions to M12 are real, and that nevertheless there exists an observable difference in the CP phase compared with the standard model. We focus our attention on the flavor-specific CP asymmetry afss, and find that afss of the model is mostly negative and its size can be one order of magnitude larger the standard model value. This prediction is consistent with the current experimental value, and might be experimentally tested in future.