Flavored axion in the UV-complete Froggatt-Nielsen models

TL;DR

This paper develops UV-complete models combining Froggatt-Nielsen and Peccei-Quinn symmetries to explain fermion masses, mixings, and solve the strong CP problem, analyzing flavor-violating axion couplings.

Contribution

It introduces UV-complete models with flavored axions where the Froggatt-Nielsen symmetry is unified with the Peccei-Quinn symmetry, including detailed fermion mass and coupling analyses.

Findings

Neutrino and quark mass matrices with specific textures

Predictions for axion flavor-violating couplings

Constraints on axion-photon coupling from the model

Abstract

We propose UV-completions of Froggatt-Nielsen-Peccei-Quinn models of fermion masses and mixings with flavored axions, by incorporating heavy fields. Here, the $U(1)$ Froggatt-Nielsen symmetry is identified with the Peccei-Quinn symmetry to solve the strong CP problem along with the mass hierarchies of the Standard Model fermions. We take into account leading order contributions to the fermion mass matrices giving rise to Nearest-Neighbour-Interaction structure in the quark sector and $A_2$ texture in the neutrino sector. A comprehensive numerical analysis has been performed for the fermion mass matrices. Subsequently, we investigate the resulting axion flavor violating couplings and the axion-photon coupling arising from the model.