Composite dynamics in Sp($2N$) gauge theories

TL;DR

This paper reports on numerical lattice studies of Sp(2N) gauge theories with fermions, exploring their mass spectra, topological properties, and potential for building beyond Standard Model physics like composite Higgs models.

Contribution

It provides the first lattice results for low-lying spectra and topological susceptibility in Sp(2N) gauge theories, extending understanding of their universal properties and large N behavior.

Findings

Preliminary meson and baryon mass spectra for N=2.

Topological susceptibility measurements across N values.

Extrapolation of results to the large N limit.

Abstract

Sp($2N$) gauge theories with fermonic matter provide an ideal laboratory to build extensions of the standard model based on novel composite dynamics. Examples include composite Higgs along with top partial compositeness and composite dark matter. Without fermions, their study also complements those based on SU($N_c$) gauge theories with which they share a common sector in the large $N_c=2N$ limit. We report on our recent progress in the numerical studies of Sp($2N$) gauge theories discretised on a four-dimensional Euclidean lattice. In particular, we present preliminary results for the low-lying mass spectra of mesons and chimera baryons in the theories with $N=2$. We also compute the topological susceptibility for various values of $N$, extrapolate the results to the large $N$ limit, and discuss certain universal properties in Yang-Mills theories.