SM extension with a gauged flavor $U(1)_F$ symmetry

TL;DR

This paper proposes an anomaly-free extension of the Standard Model with a gauged $U(1)_F$ flavor symmetry, explaining fermion mass hierarchies and neutrino oscillation patterns through specific charge assignments and Yukawa textures.

Contribution

It introduces a novel anomaly-free charge assignment in a $U(1)_F$ flavor symmetry extension, providing natural explanations for fermion mass hierarchies and neutrino oscillation data.

Findings

Hierarchical Yukawa matrices for charged fermions

Successful neutrino oscillations with inverted mass ordering

Anomaly-free charge assignments leading to texture zeros

Abstract

An extension of the Standard Model with anomaly free $U(1)_F$ flavor symmetry is studied in this paper. With this extension and the addition of the right-handed neutrino states, the solution of anomaly free charge assignments is found, which gives appealing texture zero and hierarchical Yukawa matrices. This gives us a natural understanding of the hierarchies between charged fermion masses and Cabibbo-Kobayashi-Maskawa (CKM) matrix elements. Neutrino Dirac and Majorana coupling matrices also have desirable structures leading to successful neutrino oscillations with inverted neutrino mass ordering. Other interesting implications of the presented scenario are also discussed.