# Unification of gauge and Yukawa couplings

## TL;DR

This paper investigates gauge and Yukawa coupling unification in gauge-Higgs models with extra dimensions, showing that asymptotic unification and UV fixed points can be achieved through one-loop renormalization group analysis.

## Contribution

It demonstrates that gauge and Yukawa couplings can unify in a minimal toy model considering one-loop RG running, highlighting the role of UV fixed points.

## Key findings

- Gauge couplings unify asymptotically at high energies.
- Yukawa coupling is enhanced at low energies.
- Unification may be achieved via an UV fixed point.

## Abstract

The unification of gauge and top Yukawa couplings is an attractive feature of gauge-Higgs unification models in extra-dimensions. This feature is usually considered difficult to obtain based on simple group theory analyses. We reconsider a minimal toy model including the renormalisation group running at one loop. Our results show that the gauge couplings unify asymptotically at high energies, and that this may result from the presence of an UV fixed point. The Yukawa coupling in our toy model is enhanced at low energies, showing that a genuine unification of gauge and Yukawa couplings may be achieved.