Lepton flavor violating decays l_j l_iæ

In this paper, we study the lepton flavor violating decays of the l(j) -> l(i)gamma gamma (j=2, 3; i=1, 2) processes under the U(1)(X)SSM. The U(1)(X)SSM is the addition of three singlet new Higgs superfields and right-handed neutrinos to the minimal supersymmetric standard model (MSSM). Based on the latest experimental constraints of l(j) -> l(i)gamma gamma, we analyze the effects of different sensitive parameters on the results and made reasonable predictions for future experimental development. Numerical analysis shows that many parameters have a greater or lesser effect on lepton flavor violation (LFV), but the main sensitive parameters and sources leading to LFV are the non-diagonal elements involving the initial and final leptons. This work could provide a basis for the discovery of the existence of new physics (NP).