Lepton Flavor Violation of Z Gauge Boson Decays in Supersymmetric Type-I Seesaw Model

Abstract

In this study, we investigate the lepton flavor violation (LFV) of Z gauge boson decaying into two different flavor charged leptons  ( ,  and ). This work is performed in the framework of the constrained minimal supersymmetric standard model (CMSSM) which is extended by the type-I seesaw mechanism. By considering constraints from the current experimental bounds on neutrino and supersymmetric particle masses, we calculate the branching ratios of the LFV of Z boson decays. The numerical results are found to be  for both the  and  decay channels and  for the  channel. After applying the constraints from the experimental bounds on the radiative two body decays ( ), the branching ratios of the LFV of Z boson decays get an additional suppression of  for the  and  decay channels and  for the  channel. Our prediction of the branching ratios is several orders of magnitude below the current experimental bounds.