Lepton flavor violating decays $\tau\rightarrow{Pl}$ in the $U(1)_X$SSM model

TL;DR

This paper investigates lepton flavor violating decays of tau leptons within the $U(1)_X$SSM model, analyzing parameter sensitivities and providing predictions to guide future experimental searches for new physics beyond the Standard Model.

Contribution

It introduces the $U(1)_X$SSM extension with additional Higgs and neutrinos, and studies LFV tau decays, highlighting key parameters affecting these processes.

Findings

Non-diagonal elements are main sensitive parameters.

Predictions align with current experimental bounds.

Provides a basis for detecting new physics.

Abstract

$U(1)_X$SSM is the extension of the minimal supersymmetric standard model(MSSM) and its local gauge group is $SU(3)_C\times SU(2)_L \times U(1)_Y \times U(1)_X$. To obtain this model, three singlet new Higgs superfields and right-handed neutrinos are added to MSSM. In the framework of $U(1)_X$SSM, we study lepton flavor violating decays $\tau\rightarrow{Pl}(P=\pi,~\eta,~\eta^\prime;~l=\mu,~e)$. According to the latest experimental data of $\tau\rightarrow{Pe}$ and $\tau\rightarrow{P\mu}$, the influence of different sensitive parameters on the results is analyzed to make a reasonable prediction for future experiments. From the numerical analysis, the non-diagonal elements which correspond to the generations of the initial lepton and final lepton are main sensitive parameters and lepton flavor violation(LFV) sources. This work can provide a basis for finding the existence of new physics(NP).