# $l_{\alpha}\rightarrow 3l_{\beta}$ in Minimal R-symmetric Supersymmetric Standard Model

## TL;DR

This paper analyzes lepton flavor violation decays in the Minimal R-symmetric Supersymmetric Standard Model, highlighting the dominant Z penguin contributions and the potential for future experimental observation.

## Contribution

It provides a detailed prediction of branching ratios for $l_{ ext{alpha}}
ightarrow 3l_{ ext{beta}}$ decays, emphasizing the role of Z penguins and the model's testability.

## Key findings

- Z penguin contributions dominate decay predictions
- Branching ratios can reach future experimental sensitivities
- Higgs penguins and box diagrams have channel-dependent roles

## Abstract

Lepton flavor violation decays are channels which may lead to fundamental discoveries in the forthcoming years and this make it an exciting research field for beyond the Standard Model searches. In this work, we present an analysis of the lepton flavor violation decays $l_{\alpha}\rightarrow 3l_{\beta}$ in Minimal R-symmetric Supersymmetric Standard Model. The prediction for BR($l_{\alpha}\rightarrow 3l_{\beta}$) depend on the off-diagonal entries of the slepton mass matrix. The contributions to Wilson coefficients can be classified into Higgs penguins, photon penguins, Z penguins, and box diagrams. It shows the contribution from Z penguins dominates the predictions for BR($l_{\alpha}\rightarrow 3l_{\beta}$), and the contributions from Higgs penguins and box diagrams play different roles in different decay channels. The theoretical predictions for BR($l_{\alpha}\rightarrow 3l_{\beta}$) can reach the future experimental limits, and there channels are very promising to be observed in near future experiment.