Higgs compositeness in $\mathrm{Sp}(2N)$ gauge theories --- Resymplecticisation, scale setting and topology

TL;DR

This paper investigates $ ext{Sp}(4)$ gauge theories on the lattice, focusing on scale setting and topology, to explore their potential as composite Higgs models, using gradient flow techniques for comparison.

Contribution

It introduces lattice simulation methods for $ ext{Sp}(4)$ gauge theories, including scale setting and topology analysis, relevant for composite Higgs model research.

Findings

Preliminary scale setting results for pure gauge and fermionic cases.

Topological charge history analysis on the lattice.

Technical aspects of lattice simulations for $ ext{Sp}(4)$ theories.

Abstract

As part of an ongoing programme to study $\mathrm{Sp}(2N)$ gauge theories as potential realisations of composite Higgs models, we consider the case of $\mathrm{Sp}(4)$ on the lattice, both as a pure gauge theory, and with two Dirac fermion flavors in the fundamental representation. In order to compare results between these two cases and maintain control of lattice artefacts, we make use of the gradient flow to set the scale of the simulations. We present some technical aspects of the simulations, including preliminary results for the scale setting in the two cases and results for the topological charge history.