CP violations in the K and B meson systems in the SUSY models with (S 3 ) 3 flavor symmetry

Rare decays of B and K mesons and CP violations thereof are considered in SUSY models with S33 flavor symmetry. SUSY contributions to K and '/K can be large, but not to B0− mixing because of strong constraint from B→Xdγ for (δ13d)LR. Still large deviations from the SM predictions are possible in the branching ratio for B→Xdγ and direct CP violations therein, even if the KM angle γ is in the range preferred by the SM CKM fit. Experimental study of B→Xdγ is strongly recommended as a probe for new physics with nontrivial flavor structure in the (13) mixing.