# Gluino-mediated electroweak penguin with flavor-violating trilinear couplings

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## Abstract

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 Δ*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 \( \mathrm{\mathcal{B}}\left(K\to \pi \nu \overline{\nu}\right) \), ℬ(*K*_{ S } → *μ*^{+}*μ*^{−})_{eff} and Δ*A*_{CP}(*b* → *sγ*). Such large effects could be measured in future experiments.

## Keywords

Supersymmetry Phenomenology## Notes

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