CP violation in supersymmetric models with Hermitian Yukawa couplings and A-terms

We analyse the CP violation in supersymmetric models with Hermitian Yukawa and trilinear couplings. We show that Hermitian Yukawa matrices can be implemented in supersymmetric models with SU(3) flavor symmetry. An important feature of this class of models is that the supersymmetric contributions to the EDM of the neutron and mercury atom are suppressed. In this framework, εK can be saturated by a small non–universality of the soft scalar masses through the gluino contribution. We perform a detailed analysis for the supersymmetric contributions to ε/ε. Although, the gluino contribution is found to be negligible due to a severe cancellation between LR and RL mass insertions, the chargino contribution can be significant and accommodate the experimental results. Additionally, we find that the SUSY contributions to ε/ε from the effective s̄dZ vertex and the ∆I = 3/2 operators are insignificant. We point out that the standard model gives the leading contribution to the CP asymmetry in B → ψKS decay, while the dominant chargino contribution to this asymmetry is <∼ 0.2. Thus, no constraint is set on the non–universality of this model by the recent BaBar and Belle measurements.