Probing Type II Seesaw Leptogenesis Through Lepton Flavor Violation

Abstract: Lepton flavor violation (LFV) offers a powerful probe of physics beyond the Standard Model, particularly in models addressing neutrino masses and the baryon asymmetry of the universe. In this study, we investigate LFV processes within the framework of type II seesaw leptogenesis, where the Standard Model is extended by an $SU(2)_L$ triplet Higgs field. We focus on key LFV processes including $\mu^+\to e^+\gamma$, $\mu^+ \to e^+e^-e^+$, and $\mu \rightarrow e$ conversion in nuclei, deriving stringent constraints on the parameter space from current experimental data. We scan the 3$\sigma$ 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 strongest 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. This work underscores the crucial role of LFV experiments in probing type II seesaw leptogenesis, providing an avenue to explore the connections between neutrino mass generation, baryogenesis, and inflation at experimentally accessible energy scales.