The supersymmetric-flavor problem for heavy first-two-generation scalars at next-to-leading order

We analyze in detail the constraints on SUSY-model parameters obtained from K-K mixing in the hypothesis of a splitted SUSY spectrum. FCNC contributio ns from gluino-squark-quark interactions are studied in the so-called mass- insertion approximation. We present boundaries on mass insertions and on SU SY mass scales. We improve on previous results by including the NLO-QCD cor rections to the Delta S = 2 effective Hamiltonian and the complete set of B parameters for the evaluation of hadronic matrix elements. A full set of m agic numbers that can be used for further analyses of these models is also given. We find that the inclusion of NLO-QCD corrections and the B paramete rs change the results obtained at LO and in the vacuum insertion approximat ion by an amount of about 25-35%.