Delta M-K and epsilon(K) in SUSY at the Next-to-Leading order

We perform a Next-to-Leading order analysis of Delta S = 2 processes beyond the Standard Model. Combining the recently computed NLO anomalous dimensio ns and the B parameters of the most general Delta S = 2 effective Hamiltoni an, we give an analytic formula for Delta M-K and epsilon(K) in terms of th e Wilson coefficients at the high energy scale. This expression can be used for any extension of the Standard Model with new heavy particles. Using th is result, we consider gluino-mediated contributions to Delta S = 2 transit ions in general SUSY models and provide an improved analysis of the constra ints on off-diagonal mass terms between the first two generations of down-t ype squarks. Finally, we improve the constraints on R-violating couplings f rom Delta M-K and epsilon(K).