Study of $\tau\rightarrow e M^+ M^-$ decays in the N-B-LSSM

TL;DR

This paper investigates lepton flavor violating tau decays into an electron and meson pairs within a supersymmetric model with B-L gauge symmetry, analyzing parameter sensitivities and potential signals of new physics.

Contribution

It provides a detailed analysis of LFV tau decays in the N-B-LSSM, highlighting key parameters influencing branching ratios and offering insights for new physics searches.

Findings

Branching ratios are sensitive to non-diagonal lepton elements.

Main LFV sources are non-diagonal elements between initial and final leptons.

Numerical results guide future experimental searches for new physics.

Abstract

Within the framework of the next to the minimal supersymmetric (SUSY) extension of the Standard Model (SM) with a local B-L gauge symmetry (N-B-LSSM), we study lepton flavor violating (LFV) $\tau\rightarrow e M^+ M^-$ decays: $\tau \rightarrow e \pi^+\pi^-$,~$\tau \rightarrow e \pi^+K^-$,~$\tau \rightarrow e K^+K^-$. According to the latest experimental data, the influence of different sensitive parameters on the branching ratios is considered. It can be seen from the numerical analysis that the main sensitive parameters and LFV sources are non-diagonal elements corresponding to the initial and final leptons. This work can provide a basis for discovering the existence of new physics (NP).