Massive Dirac neutrinos from a new extension of the Standard Model

A new approach for deriving neutrino masses from the known masses of quarks, charged leptons, and the parameters of the Pontecorvo-Maki-Nakagawa-Sakata (PMNS) matrix is proposed. This framework is based on the simultaneous diagonalization of the kinetic and mass terms in an extension of the Standard Model (SM) with massive Dirac neutrinos. Numerical results for the neutrino masses are obtained, which are consistent with experimental data through a new scaling parameter, $\anu$, introduced to adjust the mass splittings $\Delta m^2_{21}$ and $\Delta m^2_{31}$ in order to reach their precise experimental values, thereby reducing the number of flavor parameters in this SM extension. The proposed framework connects neutrino mass generation to the known masses of quarks and charged leptons, offering a unified perspective on the matter sector of the SM.