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

We analyze the CP violating ratio ε′/ε 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 ε, Bd,s0–B̄d,s0 mixings, B→Xsγ, Δϱ 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(Q) the MSSM prediction for a given quantity normalized to the Standard Model result we find the ranges: 0.53⩽T(ε′/ε)⩽1.07, 0.65⩽T(K+→π+νν̄)⩽1.02, 0.41⩽T(KL→π0νν̄)⩽1.03, 0.48⩽T(KL→π0e+e−)⩽1.10, 0.73⩽T(B→Xsνν̄)⩽1.34 and 0.68⩽T(Bs→μμ̄)⩽1.53. We point out that these ranges will be considerably reduced when the lower bounds on the neutral Higgs mass and tanβ 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 ε′/ε in the SM and find in NDR ε′/ε=(9.2+6.8−4.0)×10−4, a value 15% higher than in our 1999 analysis.