Mass Hierarchies in Lorentz-Violation-induced Dynamical Mass Models

TL;DR

This paper explores how Lorentz violation can lead to dynamical fermion mass generation, addressing the challenge of explaining mass hierarchies among leptons and quarks with extended gauge interactions.

Contribution

It introduces toy models incorporating Lorentz violation and extended gauge structures to explain fermion mass hierarchies dynamically.

Findings

Realistic mass hierarchies require extended gauge structures.

Lorentz violation can induce dynamical fermion masses.

Extended gauge interactions are essential for chiral theories.

Abstract

We discuss the issue of fermion mass hierarchies between lepton and quark families in toy models of dynamical generation of fermion masses through minimal Lorentz Invariance Violation. Realistic hierarchies in chiral theories necessitate an extended gauge structure, which includes both vector and axial-vector interactions.