Gluino-mediated electroweak penguin with flavor-violating trilinear couplings

Abstract

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 ΔS = 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 ℬK→πνν¯ $$ \mathrm{\mathcal{B}}\left(K\to \pi \nu \overline{\nu}\right) $$, ℬ(K S → μ + μ −)eff and ΔA CP(b → sγ). Such large effects could be measured in future experiments.

Keywords

• Supersymmetry Phenomenology