Gluino-mediated electroweak penguin with flavor-violating trilinear couplings

摘要

In light of a discrepancy of the direct $CP$ violation in $K\to\pi\pi$decays, $\varepsilon'/\varepsilon_K$, we investigate gluino contributions tothe electroweak penguin, where flavor violations are induced by squarktrilinear couplings. Top-Yukawa contributions to $\Delta S = 2$ observables aretaken into account, and vacuum stability conditions are evaluated in detail. Itis found that this scenario can explain the discrepancy of$\varepsilon'/\varepsilon_K$ for the squark mass smaller than 5.6 TeV. We alsoshow that the gluino contributions can amplify $\mathcal{B}(K \to \pi \nu\overline{\nu})$, $\mathcal{B}(K_S \to \mu^+ \mu^-)_{\rm eff}$ and $\DeltaA_{\rm CP}(b\to s\gamma)$. Such large effects could be measured in futureexperiments.