The evolution of gauge couplings and the Weinberg angle in 5 dimensions for an SU(3) gauge group

TL;DR

This paper investigates how gauge couplings and the Weinberg angle evolve in a simplified 5D SU(3) gauge model with bulk and localized fields, analyzing their impact on low-energy observables.

Contribution

It derives one-loop gauge coupling evolution equations in a 5D SU(3) model with orbifold compactification, exploring implications for the Weinberg angle.

Findings

Gauge coupling evolution is computed at one-loop in 5D.

The model shows how extra-dimensional effects influence the Weinberg angle.

Results provide insights into gauge-Higgs unification scenarios.

Abstract

We test in a simplified 5-dimensional model with SU(3) gauge symmetry, the evolution equations of the gauge couplings of a model containing bulk fields, gauge fields and one pair of fermions. In this model we assume that the fermion doublet and two singlet fields are located at fixed points of the extra-dimension compactified on an $S^{1}/Z_{2}$ orbifold. The gauge coupling evolution is derived at one-loop in 5-dimensions, for the gauge group $G = SU(3)$, and used to test the impact on lower energy observables, in particular the Weinberg angle. The gauge bosons and the Higgs field arise from the gauge bosons in 5 dimensions, as in a gauge-Higgs model. The model is used as a testing ground as it is not a complete and realistic model for the electroweak interactions.