A low-scale flavon model with a $Z_N$ symmetry

TL;DR

This paper introduces a supersymmetric model with a discrete $Z_N^F$ symmetry and a TeV-scale flavon that explains fermion mass hierarchy, stabilizes the Higgs sector, and provides a dark matter candidate, all within a low cutoff scale framework.

Contribution

It presents a novel low-scale flavon model with a discrete symmetry that simultaneously addresses fermion masses, Higgs potential stability, and dark matter.

Findings

Successfully stabilizes flavon and Higgs bosons in the model.

Explains fermion mass hierarchy and Higgs-flavon potential.

Predicts flavor-violating processes detectable in future experiments.

Abstract

We propose a model that explains the fermion mass hierarchy by the Froggatt-Nielsen mechanism with a discrete $Z_N^F$ symmetry. As a concrete model, we study a supersymmetric model with a single flavon coupled to the minimal supersymmetric Standard Model. Flavon develops a TeV scale vacuum expectation value for realizing flavor hierarchy, an appropriate $\mu$-term and the electroweak scale, hence the model has a low cutoff scale. We demonstrate how the flavon is successfully stabilized together with the Higgs bosons in the model. The discrete flavor symmetry $Z_N^F$ controls not only the Standard Model fermion masses, but also the Higgs potential and a mass of the Higgsino which is a good candidate for dark matter. The hierarchy in the Higgs-flavon sector is determined in order to make the model anomaly-free and realize a stable electroweak vacuum. We show that this model can explain the fermion mass hierarchy, realistic Higgs-flavon potential and thermally produced dark matter at the same time. We discuss flavor violating processes induced by the light flavon which would be detected in future experiments.