A new U(1) model anomaly free for three families to address fermion mass hierarchy and neutrino physics

TL;DR

This paper introduces an anomaly-free U(1) extension of the Standard Model with generation-dependent charges, explaining fermion mass hierarchies and neutrino masses via see-saw mechanisms, and aligns with current neutrino data.

Contribution

It presents a novel anomaly-free U(1) extension with generation-specific charges that naturally produce fermion mass textures and neutrino masses through see-saw mechanisms.

Findings

Model successfully reproduces neutrino oscillation data

Generates fermion mass hierarchies via zero-texture mass matrices

Maintains anomaly cancellation with non-universal charges

Abstract

A new non-universal abelian extension $\mathrm{G_{SM}}\otimes \mathrm{U(1)}_{X}$ to the Standard Model free from chiral anomalies is presented. The new $X$ charges distinguish among generations so as the fermion mass matrices get zero-textures from the fermion mass hierarchy can be obtained. Regarding to neutrino physics, the model inclues Majorana fermions which induce see-saw mechanisms to get small neutrino masses. Moreover, the suitability of the model is tested by searching for regions in the parameter space which reproduce current neutrino oscillation data.