\begin{document}$S U(2)_L$\end{document} triplet Higgs field. We focus on key LFV processes, including \begin{document}$\mu^+\to e^+\gamma$\end{document}, \begin{document}$\mu^+ \to e^+e^-e^+$\end{document}, and \begin{document}$\mu \rightarrow e$\end{document} conversion in nuclei, deriving stringent constraints on the parameter space from current experimental data. We scan the 3σ range of neutrino oscillation parameters and identify the most conservative bounds consistent with existing measurements. Our results reveal that the MEG experiment currently provides the most stringent constraints in the normal ordering (NO) scenario, while the SINDRUM experiment offers comparable sensitivity in the inverted ordering (IO) case. Future experiments, such as MEG II, Mu3e, Mu2e, and COMET, are predicted to significantly improve the sensitivity, testing larger regions of the parameter space."> Probing type II seesaw leptogenesis through lepton flavor violation -
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