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

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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, epsilonₖ 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 epsilon'/epsilon. 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 epsilon'/epsilon from the effective sdZ vertex and the ΔI =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.