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Following the anomalous like-sign dimuon charge asymmetry measured by the D0collaboration at the Tevatron collider we discuss the implications of large CPviolation in $B_{d,s}$ mixing for Supersymmetric (SUSY) Standard Models,focussing on those models which allow a family symmetry and unification. Forthe Minimal Supersymmetric Standard Model (MSSM) we show that it is onlypossible to account for $B_{s}$ mixing and CP violation at the expense of largesquark mixing which would require a new approach to family symmetry models. Inorder to describe both $B_{s}$ and $B_{d}$ mixing and CP violation we are ledto consider SUSY models with Higgs fields transforming as triplets under afamily symmetry. We describe a realistic such model based on $\Delta_{27}$family symmetry in which tree-level exchange of the second Higgs familypredicts $B_{s}$ and $B_{d}$ mixing and CP violation in good agreement with arecent global fit, while naturally suppressing flavour and CP violationinvolving the first and second quark and lepton families.

Implications of large CP Violation in B mixing for Supersymmetric Standard Models