# Loop suppressed light fermion masses with $U(1)_R$ gauge symmetry

## TL;DR

This paper introduces a two-Higgs-doublet model with an extra $U(1)_R$ gauge symmetry that generates fermion masses at loop levels, addressing fermion mass hierarchies and phenomenological implications like muon g-2 and dark matter.

## Contribution

The paper presents a novel two-Higgs-doublet model with $U(1)_R$ symmetry that induces fermion masses at different loop levels while ensuring anomaly cancellation.

## Key findings

- Fermion masses are generated at one- and two-loop levels.
- The model explains fermion mass hierarchies.
- Phenomenological implications include muon g-2 and dark matter candidates.

## Abstract

We propose a model with two Higgs doublet where quark and charged-lepton masses in the first and second families are induced at one-loop level, and neutrino masses are induced at the two-loop level. In our model we introduce an extra $U(1)_R$ gauge symmetry that plays a crucial role in achieving desired terms in no conflict with anomaly cancellation. We show the mechanism to generate fermion masses, the resultant mass matrices and Yukawa interactions in mass eigenstates, and discuss several interesting phenomenologies such as muon anomalous magnetic dipole moment and dark matter candidate that are arisen from this model.