Sphalerons on Orbifolds

TL;DR

This paper investigates electroweak sphalerons within a 5D gauge-Higgs framework on orbifolds, revealing that extra-dimensional effects and Kaluza-Klein modes minimally alter the Standard Model results.

Contribution

It introduces a 5D SU(2) gauge-Higgs model on orbifold backgrounds and analyzes sphalerons, showing results closely resemble the Standard Model due to warp effects and heavy Kaluza-Klein modes.

Findings

Results are similar to the 4D Standard Model.

Warp effects and heavy Kaluza-Klein modes have minimal impact.

Sphaleron properties are preserved in the 5D orbifold setup.

Abstract

In this work, we study the electroweak sphalerons in a 5D background, where the fifth dimension lies on an interval. We consider two specific cases: flat space-time and the anti-de Sitter space-time compactified on S^{1}/Z_{2}. In our work, we take the SU(2) gauge-Higgs model, where the gauge fields reside in the 5D bulk; but the Higgs doublet is confined in one brane. We find that the results in this model are close to those of the 4D Standard Model (SM). The existence of the warp effect, as well as the heaviness of the gauge Kaluza-Klein modes make the results extremely close to the SM ones.