# The LFV decays of Z boson in Minimal R-symmetric Supersymmetric Standard Model

## TL;DR

This paper investigates the rare lepton flavor violating decays of the Z boson within the Minimal R-symmetric Supersymmetric Standard Model, analyzing their potential observability at future colliders considering current experimental constraints.

## Contribution

It provides a detailed analysis of Z boson LFV decays in MRSSM, incorporating experimental bounds and exploring parameter space for future detection prospects.

## Key findings

- Predicted branching ratios are several orders below current experimental limits.
- Z→eτ and Z→μτ decays could be observable in future experiments.
- Constraints from l2→l1γ decays significantly limit flavor-violating parameters.

## Abstract

A future $Z$-factory will offer the possibility to study rare $Z$ decays $Z\rightarrow l_1l_2$, as those leading to Lepton Flavor Violation final states. In this work, by taking account of the constraints from radiative two body decays $l_2\rightarrow l_1\gamma$, we investigate the Lepton Flavor Violation decays $Z\rightarrow l_1l_2$ in the framework of Minimal R-symmetric Supersymmetric Standard Model with two benchmark points from already existing literatures. The flavor violating off-diagonal entries $\delta^{12}$, $\delta^{13}$ and $\delta^{23}$ are constrained by the current experimental bounds of $l_2\rightarrow l_1\gamma$. Considering recent experimental constraints, we also investigate Br($Z\rightarrow l_1l_2$) as a function of $M_D^W$. The numerical results show that the theoretical prediction of Br($Z\rightarrow l_1l_2$) in MRSSM are several orders of magnitude below the current experimental bounds. The Lepton Flavor Violation decays $Z\rightarrow e\tau$ and $Z\rightarrow \mu\tau$ may be promising to be observed in future experiment.