Lepton flavor violation in the $\mu \nu$SSM with slepton flavor mixing

Abstract

The $\mu \nu$SSM, one of supersymmetric extensions of the Standard Model, introduces three right-handed neutrino superfields to solve the $\mu$ problem and violates lepton number. Within framwork of the $\mu \nu$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 $l_j^{-}\to l_i^{-}\gamma$, $l_j^{-}\to l_i^{-}{l}_i^{-}{l}_i^{+}$ and muon conversion to electron in nuclei.

arXiv comment19 pages, 3 figures, 1 table, accepted for publication in the Int. J. Mod. Phys. A

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• $Z$ boson decays $Z\to {l_i}^{\pm }{l_j}^{\mp }$ and Higgs boson decays $h\to {l_i}^{\pm }{l_j}^{\mp }$ with lepton flavor violation in a $U(1)$ extension of the MSSM
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• $l_{\alpha }\to 3l_{\beta }$ in Minimal R-symmetric Supersymmetric Standard Model
• $B_s^0\to {\mu }^{+}{\mu }^{-}$ in a flavor violating extension of MSSM
• Lepton-flavor violation and two loop electroweak corrections to $(g-2{)}_{\mu }$ in the triplets
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