Exploring neutrino masses, $(g-2{)}_{\mu ,e}$ in type I+II seesaw in $L_e^{}-L_{\alpha }^{}$ gauge extended model

Abstract

This paper aims to explore the implications of $U(1{)}_{L_e-L_{\alpha }}$ gauge symmetries, where $\alpha =\tau ,\mu$, in the neutrino sector through the type-(I+II) seesaw mechanisms. To achieve such a hybrid framework, we include a scalar triplet and three right-handed neutrinos. The model can successfully account for the active neutrino masses, mixing angles, mass squared differences, and the CP-violating phase within the $3\sigma$ bounds of NuFit v5.2 neutrino oscillation data. The presence of new gauge boson at the MeV scale provides an explanation for the muon and electron $(g-2)$ within the confines of their experimental limits. Furthermore, we scrutinize the proposed models in the context of upcoming long-baseline neutrino experiments such as DUNE, P2SO, T2HK, and T2HKK. The findings reveal that P2SO and T2HK have the ability to probe both the models in their $5\sigma$ allowed oscillation parameter region, whereas DUNE and T2HKK can conclusively test only model with $U(1{)}_{L_e-L_{\mu }}$- symmetry within their $5\sigma$ parameter space if the true values of the oscillation parameters remain consistent with NuFit v5.2.

Comments: 30 pages, 5 figures, This version is accepted in Universe