ε′/ε and rare K and B decays in the MSSM

We analyze the CP violating ratio epsilon'/epsilon and rare K and B decays in the MSSM with minimal flavour and CP violation, including NLO QCD corrections and imposing constraints on the supersymmetric parameters coming from epsilon, B-d,s(0)-(B) over bar (0)(d,s) mixings, B --> X(s)gamma, Delta rho in the electroweak precision studies and from the lower bound on the neutral Higgs mass. We provide a compendium of phenomenologically relevant formulae in the MSSM. Denoting by T(e) the MSSM prediction for a given quantity normalized to the Standard Model result we find the ranges: 0.53 less than or equal to T (epsilon'/epsilon) less than or equal to 1.07, 0.65 less than or equal to T(K+ --> pi (+)nu<(<nu>)over bar>) less than or equal to 1.02, 0.41 less than or equal to T(K-L --> pi (0)nu<(<nu>)over bar>) less than or equal to 1.03, 0.48 less than or equal to T(K-L --> pi (0)e(+)e(-)) less than or equal to 1.10, 0.73 less than or equal to T(B --> X(s)nu<(<nu>)over bar>) less than or equal to 1.34 and 0.68 less than or equal to T(B-s --> mu<(<mu>)over bar>) less than or equal to 1.53. We point out that these ranges will be considerably reduced when the lower bounds on the neutral Higgs mass and tan B improve. Some contour plots illustrate the dependences of the quantities above on the relevant supersymmetric parameters. As a byproduct of this work we update our previous analysis of epsilon'/epsilon in the SM and find in NDR epsilon'/epsilon = (9.2(-4.0)(+6.8)) x 10(-4), a value 15% higher than in our 1999 analysis. (C) 2001 Elsevier Science B.V. All rights reserved.