Triangle Relation of Dark Matter, EDM and CP Violation in B0 Mixing in a Supersymmetric Q6 Model

Abstract

We consider a recently proposed supersymmetric model based on the discrete Q6 family group.Because of the family symmetry and spontaneous CP violation the electric dipole moment (EDM), the CP violation in the mixing of the neural mesons and the dark matter mass m_DM are closely related. This triangle relation is controlled by the size of the mu parameters. Loop effects can give rise to large contributions to the soft mass insertions, and we find that the model allows a large CP violation in the B0 system. Its size is comparable with the recent experimental observations at D0 and CDF, and it could be observed at LHCb in the first years. If the parameter space is constrained by the neutron EDM, and flavor changing neutral currents and CP violations in K0 as well as B0 mixing, the triangle relation yields the following bound on the dark matter candidate: 0.12 TeV < m_DM < 0.33 TeV, which is directly observable at LHC. We also compute a_sl^s - a_sl^d, which is observable at LHCb, where a_sl^s(d) is the semi-leptonic CP asymmetryfor the B_s(d) system.