Lepton flavor violation in the $\hat{I}¼\hat{I}½$SSM with slepton flavor mixing

Abstract

The $\hat{I}¼\hat{I}½$SSM, one of supersymmetric extensions of the Standard Model, introduces three right-handed neutrino superfields to solve the $\hat{I}¼$ problem and violates lepton number. Within framwork of the $\hat{I}¼\hat{I}½$SSM, we investigate the lepton flavor violating (LFV) processes $Z\to l_i^{\pm }{l}_j^{\mp }$ with slepton flavor mixing. Simultaneously, we consider the LFV processes $l_j^{-}\to l_i^{-}{\hat{I}}^3$, $l_j^{-}\to l_i^{-}{l}_i^{-}{l}_i^{+}$ and muon conversion to electron in nuclei.

19 pages, 3 figures, 1 table, accepted for publication in the Int. J. Mod. Phys. A