Gluino-squark contributions to CP violations in the kaon system

Recently it was shown, within the mass insertion approximation (MIA), that the gluino mediated flavor changing neutral current (FCNC) interactions can saturate both ɛ_K and Re( ɛ'/ ɛ_K) even for the real Cabibbo-Kobayashi-Maskawa (CKM) matrix through a single CP violating parameter ( δ₁₂^d) _LL. In this work, we extend our previous analysis to the nonvanishing KM phase, and to the effective SUSY model where the MIA is no longer a good approximation. In our model, ɛ_K and B ⁰- overlineB ⁰ mixing can receive significant SUSY contributions. Therefore the usual constraints on ρ and η in the Wolfenstein parametrization of the CKM matrix can be relaxed except for the | V_ub/ V_cb| from the semileptonic b→ u transition. This affects K→πν ν¯ and K_L→ μ⁺μ^- indirectly, even if they are not directly induced by gluino-mediated FCNC, while K_L→ π⁰e⁺e^- is influenced both directly and indirectly. Differences between our model and other SUSY models enhancing Re( ɛ'/ ɛ_K) are discussed in detail.