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

Abstract

We analyze in detail the constraints on SUSY-model parameters obtained from K– $\overline{K}$ mixing in the hypothesis of a splitted SUSY spectrum. FCNC contributions from gluino–squark–quark interactions are studied in the so-called mass-insertion approximation. We present boundaries on mass insertions and on SUSY mass scales. We improve on previous results by including the NLO-QCD corrections 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 magic 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 parameters change the results obtained at LO and in the vacuum insertion approximation by an amount of about 25–35%.