Radiatively generated hierarchy of lepton and quark masses

TL;DR

This paper presents a model where the hierarchy of fermion masses in the Standard Model is generated radiatively at different loop levels, using a minimal scalar sector and a discrete symmetry, also providing a dark matter candidate.

Contribution

It introduces a novel radiative mass generation mechanism with a minimal scalar sector and no need for additional charged scalars or extra doublets, based on a softly-broken discrete symmetry.

Findings

Successfully generates fermion mass hierarchy at different loop levels.

Includes a viable scalar dark matter candidate.

Avoids additional charged scalars or extra doublets.

Abstract

We propose a model for radiatively generating the hierarchy of the Standard Model (SM) fermion masses: tree-level top quark mass; 1-loop bottom, charm, tau and muon masses; 2-loop masses for the light up, down and strange quarks as well as for the electron; and 4-loop masses for the light active neutrinos. Our model is based on a softly-broken $S_{3}\times Z_{2}$ discrete symmetry. Its scalar sector consists only of one SM Higgs doublet and three electrically neutral SM-singlet scalars. We do not need to invoke either electrically charged scalar fields, or an extra $SU_{2L}$ scalar doublet, or the spontaneous breaking of the discrete group, which are typical for other radiative models in the literature. The model features a viable scalar dark matter candidate.