Gauge and Higgs Boson Masses from an Extra Dimension

TL;DR

This paper investigates the mass spectrum of a 5D pure gauge theory with an orbifolded extra dimension, analyzing how parameters like anisotropy and extra dimension size influence the hierarchy of gauge boson masses.

Contribution

It provides the first detailed study of the spectrum for non-unity anisotropy in a 5D gauge theory on the lattice, using extensive operator bases.

Findings

Spectrum varies with anisotropy parameter $oldsymbol{ eq 1}$

Identifies mass hierarchy patterns in the gauge theory

Provides data for the influence of extra dimension size

Abstract

We present novel calculations of the mass hierarchy of the $SU(2)$ pure gauge theory on a space-time lattice with an orbifolded fifth dimension. This theory has three parameters; the gauge coupling $\beta$, the anisotropy $\gamma$, which is a measure of the ratio of the lattice spacing in the four dimensions to that in the fifth dimension, and the extent of the extra dimension $N_{5}$. Using a large basis of scalar and vector operators we explore in detail the spectrum along the $\gamma = 1$ line, and for the first time we investigate the spectrum for $\gamma \neq 1$.