Sp(4) gauge theories and beyond the standard model physics

TL;DR

This paper reviews numerical results for Sp(2N) gauge theories, exploring their spectra and potential as models for Higgs and top compositeness, demonstrating the feasibility of non-perturbative lattice studies in this context.

Contribution

It provides the first comprehensive lattice analysis of Sp(4) gauge theories, including spectra and preliminary results relevant for composite Higgs and top models.

Findings

Glueball spectrum in the large-N limit.

Preliminary meson spectrum results for Sp(4) with various fermions.

Initial insights into the mass of chimera baryons relevant for top compositeness.

Abstract

We review numerical results for models with gauge group Sp(2N), discussing the glueball spectrum in the large-N limit, the quenched meson spectrum of Sp(4) with Dirac fermions in the fundamental and in the antisymmetric representation and the Sp(4) gauge model with two dynamical Dirac flavours. We also present preliminary results for the meson spectrum in the Sp(4) gauge theory with two fundamental and three antisymmetric Dirac flavours. The main motivation of our programme is to test whether this latter model is viable as a realisation of Higgs compositeness via the pseudo Nambu Goldstone mechanism and at the same time can provide partial top compositeness. In this respect, we report and briefly discuss preliminary results for the mass of the composite baryon made with two fundamental and one antisymmetric fermion (chimera baryon), whose physical properties are highly constrained if partial top compositeness is at work. Our investigation shows that a fully non-perturbative study of Higgs compositeness and partial top compositeness in Sp(4) is within reach with our current lattice methodology.