\begin{document}$ U(1)_X $\end{document}SSM. \begin{document}$ U(1)_X $\end{document}SSM is the \begin{document}$ U(1) $\end{document}extension of the Minimal Supersymmetric Standard Model (MSSM), and its local gauge group is extended to \begin{document}$S U(3)_C\times S U(2)_L \times U(1)_Y\times U(1)_X$\end{document}. To obtain this model, three singlet new Higgs superfields and right-handed neutrinos are added to the MSSM, which can explain the results of neutrino oscillation experiments. The neutrino transition magnetic moment is induced by electroweak radiative corrections. By applying the effective Lagrangian method and on-shell scheme, we studied the associated Feynman diagrams and transition magnetic moment of neutrinos in the model. We fit experimental data for neutrino mass variances and mixing angles. Based on the range of data selection, the influences of different sensitive parameters on the results were analyzed. The numerical analysis shows that many parameters, such as \begin{document}$ g_X $\end{document}, \begin{document}$ M_2 $\end{document}, \begin{document}$ \mu $\end{document}, \begin{document}$ \lambda_H $\end{document}, and \begin{document}$ g_{YX} $\end{document}, have an effect on the neutrino transition magnetic moment. In our numerical results, the order of magnitude of \begin{document}$ \mu_{ij}^M/\mu_B $\end{document} is approximately\begin{document}$ 10^{-20} $\end{document} \begin{document}$ \sim $\end{document} \begin{document}$ 10^{-19} $\end{document}."> Neutrino transition magnetic moment in <i>U</i>(1)<sub><i>X </i></sub>SSM -
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