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

In this study, we investigate the lepton flavor violation (LFV) of Z gauge boson decaying into two different flavor charged leptons Z→lilj (Z→τμ, Z→τe and Z→μe). This work is performed in the framework of the constrained minimal supersymmetric standard model (CMSSM) which is extended by the type-III 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 1.30×10-9 for both the τμ and τe decay channels and 6.40×10-10 for the μe channel. After applying the constraints from the experimental bounds on the radiative two body decays li→ljγ, the branching ratios of the LFV of Z boson decays get an additional suppression of 10-3 for the τμ and τe decay channels and 10-8 for the μe channel. Our prediction of the branching ratios is several orders of magnitude below the current experimental bounds. © The Author(s) under exclusive licence to Sociedade Brasileira de Física 2025.