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Recently, the standard model prediction of ǫ ′ /ǫ was improved, and a discrepancy from the experimental results was reported at the 2.9σ level. We study the chargino contributions to Z penguin especially with the vacuum stability constraint. The vacuum decay rate is investigated, and it is shown that the discrepancy can be explained if superparticles are lighter than 4-6 TeV. Correlations with B(K L → π 0 νν) and other experimental constraints are also discussed.

In light of a discrepancy of the direct CP violation in K → ππ decays, ε /ε K , we investigate gluino contributions to the electroweak penguin, where flavor violations are induced by squark trilinear couplings. Top-Yukawa contributions to ∆S = 2 observables are taken into account, and vacuum stability conditions are evaluated in detail. It is found that this scenario can explain the discrepancy of ε /ε K for the squark mass smaller than 5.6 TeV. We also show that the gluino contributions can amplify B(K → πνν), B(K S → µ + µ − ) eff and ∆A CP (b → sγ). Such large effects could be measured in future experiments.