📝 SummarXiv

Abstract

An alternative approach to obtaining neutrino masses, distinct from the traditional seesaw mechanism, is proposed. This method relies on the simultaneous diagonalization of matrices derived from a twisted Lagrangian density of the neutrino matter sector. This approach avoids the need for introducing heavy Majorana neutrinos, thereby reducing the number of free parameters in the Standard Model (SM). We present numerical results for neutrino masses that align with experimental data, and we introduce a new parameter, $\alpha_\nu$, to fine-tune the mass differences $\Delta m^2_{21}$ and $\Delta m^2_{31}$. The proposed framework connects the neutrino mass generation mechanism to the known masses of quarks and charged leptons, providing an unified perspective on the matter sector of the Standard Model.