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

A future Z-factory will offer the possibility of studying rare Z decays Z → l_1l_2, such as those leading to lepton flavor violation(LFV) final states. In this work, by considering the constraints from radiative two-body decays l_2→ l_1γ, we investigate the LFV decays Z → l_1l_2 in the framework of the Minimal R-symmetric Supersymmetric Standard Model with two benchmark points from the existing literature. The flavor-violating off-diagonal entries Б~(12), Б~(13) and Б~(23) are constrained by the current experimental bounds of l_2→ l_1γ. Considering recent experimental constraints, we also investigate Br(Z → l_1l_2) as a function of M_D~W. The numerical results show that the theoretical predictions of Br( Z → l_1l_2) in the MRSSM are several orders of magnitude below the current experimental bounds. The LFV decays Z → eτ and Z →μт may be promising observation targets in future experiments.