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

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.