Radiative seesaw-type mechanism of quark masses in SU(3\)_{C}\otimes SU(3\)_{L}\otimes U\(1\)_{X}$

TL;DR

This paper explores a 331 gauge model where quark masses are generated through a radiative seesaw mechanism, resulting in a realistic mass spectrum with some quarks massless at tree level and others acquiring small masses via quantum corrections.

Contribution

It introduces a specific zero-texture quark mass matrix in a 331 model, demonstrating how radiative corrections generate small quark masses and resolve massless quark issues.

Findings

Four quarks are massless at tree level.

Radiative corrections give small masses to light quarks.

The model predicts a realistic quark mass spectrum.

Abstract

We take up again the study of the mass spectrum of the quark sector in a model with gauge symmetry $SU(3)_{c}\otimes SU(3)_{L}\otimes U(1)_{X}$ (331). In a special type II-like 331 model, we obtain specific zero-texture mass matrices for the quarks which predict four massless quarks ($u,c,d,s$) and two massive quarks ($b,t$) at the electroweak scale ($\sim $ GeV). By considering the mixing between the SM quarks and new exotic quarks at large scales predicted by the model, we find that a third quark (associated to the charm quark) acquires a mass. The remaining light quarks ($u,d,s$) get small masses ($\sim$ MeV) via radiative corrections.