Lepton flavor violating decays $Z\rightarrow l^{\pm}_{i}l^{\mp}_{j}$ in the B-L Supersymmetric Standard Model

TL;DR

This paper investigates lepton flavor violating Z boson decays within the B-L Supersymmetric Standard Model, using both mass eigenstate and electroweak bases, and explores parameter effects and experimental constraints.

Contribution

It introduces a novel analytic approach using the mass insertion approximation to study LFV decays in the B-LSSM, linking these to experimental constraints.

Findings

Parameter effects on LFV decays analyzed analytically.

Constraints from $l_j^- o l_i^- \, \gamma$ and $(g-2)_\mu$ considered.

Provides new insights into LFV processes in B-LSSM.

Abstract

Lepton flavor violation (LFV) represents a clear new physics (NP) signal beyond the standard model (SM). In this paper, we study LFV decays $Z\rightarrow l^{\pm}_{i}l^{\mp}_{j}$ in the B-L Supersymmetric Standard Model(B-LSSM). We calculate these processes separately in the mass eigenstate basis and the electroweak interaction basis, and the latter adopt the mass insertion approximation (MIA) method. The MIA clearly shows the effect of parameters on the LFV decays $Z\rightarrow l^{\pm}_{i}l^{\mp}_{j}$ in the analytic level, which provides a new way for us to analyze the LFV processes. At the same time, the corresponding constraints from the LFV decays $l^{-}_{j} \rightarrow l^{-}_{i} \gamma$ and $(g-2)_{\mu}$ are considered to analyze the numerical results.