Higgs compositeness in $\mathrm{Sp}(2N)$ gauge theories --- The pure gauge model

TL;DR

This paper presents new numerical results for the pure gauge Sp(4) lattice theory, including string tension and glueball spectrum, comparing these with neighboring SU(N) models to advance understanding of Sp(2N) composite Higgs models.

Contribution

It provides the first continuum extrapolations of key physical quantities in the pure gauge Sp(4) model, aiding the study of Sp(2N) composite Higgs theories.

Findings

String tension values obtained and extrapolated to continuum.

Glueball mass spectrum determined and compared.

Differences and similarities with SU(N) models analyzed.

Abstract

As a first step in the study of $\mathrm{Sp}(2N)$ composite Higgs models, we obtained a set of novel numerical results for the pure gauge $\mathrm{Sp}(4)$ lattice theory in 3+1 space-time dimensions. Results for the continuum extrapolations of the string tension and the glueball mass spectrum are presented and their values are compared with the same quantities in neighbouring $\mathrm{SU}(N)$ models.