Slepton Mass Matrices, mu -> e gamma Decay and EDM in SUSY S4 Flavor Model

TL;DR

This paper analyzes slepton mass matrices in an $S_4$ flavor SUSY GUT model, estimating contributions to $ ext{mu} ightarrow e ext{gamma}$ decay and lepton EDMs, with predictions testable in upcoming experiments.

Contribution

It provides a detailed estimation of slepton mass matrix effects on lepton flavor violation and EDMs within an $S_4$ flavor SUSY GUT framework, including gravity mediation effects.

Findings

Lower bound for $ ext{mu} ightarrow e ext{gamma}$ ratio: $10^{-13}$ at 500 GeV.

Predicted electron EDM around $10^{-29}$ to $10^{-28}$ cm.

Predictions are within reach of near-future experiments.

Abstract

We discuss slepton mass matrices in the $S_4$ flavor model with SUSY SU(5) GUT. By considering the gravity mediation within the framework of supergravity theory, we estimate the SUSY breaking terms in the slepton mass matrices, which contribute to the $\mu \rightarrow e + \gamma$ decay. We obtain a lower bound for the ratio of $\mu\rightarrow e\gamma$ as $10^{-13}$ if $m_{\text{SUSY}}$ and $m_{1/2}$ are below 500GeV. The off diagonal terms of slepton mass matrices also contribute to EDM of leptons. The predicted electron EDM is around $10^{-29}-10^{-28}$cm. Our predictions are expected to be tested in the near future experiment.