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

Abstract

A future Z-factory will offer the possibility of studying rare Z decays Z → l 1 l 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 1 → l 2 γ, we investigate the LFV decays Z →l 1 l 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 δ 12 δ 13 and δ 23 , are constrained by the current experimental bounds of l 1 → l 1 γ. Considering recent experimental constraints, we also investigate Br(Z → l 1 l 2 ) as a function of M DD . The numerical results show that the theoretical predictions of Br(Z → l 1 l 2 ) in the MRSSM are several orders of magnitude below the current experimental bounds. The LFV decays Z →eτ and Z → μτ may be promising observation targets in future experiments.