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

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 $\tau \to Pl(P=\pi ,\eta ,{\eta }^{\prime };l=\mu ,e)$. According to the latest experimental data of $\tau \to Pe$ and $\tau \to P\mu$, 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).

31 pages, 28 figures