CP violation in supersymmetric models with Hermitian Yukawa couplings andA-terms

We analyse the CP violation in supersymmetric models with Hermitian Yukawaand trilinear couplings. We show that Hermitian Yukawa matrices can beimplemented in supersymmetric models with SU(3) flavor symmetry. An importantfeature of this class of models is that the supersymmetric contributions to theEDM of the neutron and mercury atom are suppressed. In this framework,epsilon_K can be saturated by a small non--universality of the soft scalarmasses through the gluino contribution. We perform a detailed analysis for thesupersymmetric contributions to epsilon'/epsilon. Although, the gluinocontribution is found to be negligible due to a severe cancellation between LRand RL mass insertions, the chargino contribution can be significant andaccommodate the experimental results. Additionally, we find that the SUSYcontributions to epsilon'/epsilon from the effective \bar{s}dZ vertex and the\Delta I =3/2 operators are insignificant. We point out that the standard modelgives the leading contribution to the CP asymmetry in B -> \psi K_S decay,while the dominant chargino contribution to this asymmetry is < 0.2 . Thus, noconstraint is set on the non--universality of this model by the recent BaBarand Belle measurements.Comment: 24 pages, 5 figure