Gluino-mediated electroweak penguin with flavor-violating trilinear couplings

TL;DR

This paper explores how gluino-mediated flavor-violating interactions via squark trilinear couplings can address the discrepancy in direct CP violation in kaon decays and predict observable effects in rare kaon and B-meson decays.

Contribution

It introduces a scenario where gluino contributions with flavor-violating trilinear couplings explain the CP violation discrepancy and predict measurable effects in rare decay processes.

Findings

Gluino contributions can explain the $ ext{ε'} / ext{ε}$ discrepancy for squark masses below 5.6 TeV.

Enhanced branching ratios for $K o u ar{ u}$ and $K_S o \mu^+ \mu^-$ decays.

Potential large effects in $ ext{Δ}A_{CP}(b o s \gamma)$ observable in future experiments.

Abstract

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