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

Abstract

A future $Z$-factory will offer the possibility to study rare $Z$ decays $Z\to l_1{l}_2$, as those leading to Lepton Flavor Violation final states. In this work, by taking account of the constraints from radiative two body decays $l_2\to l_1\gamma$, we investigate the Lepton Flavor Violation decays $Z\to l_1{l}_2$ 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 $l_2\to l_1\gamma$. Considering recent experimental constraints, we also investigate Br($Z\to l_1{l}_2$) as a function of $M_D^W$. The numerical results show that the theoretical prediction of Br($Z\to l_1{l}_2$) in MRSSM are several orders of magnitude below the current experimental bounds. The Lepton Flavor Violation decays $Z\to e\tau$ and $Z\to \mu \tau$ may be promising to be observed in future experiment.

17pages,8 figures,8 tables,to be published in Chinese Physics C

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