Spectral reconstruction in SU(4) gauge theory with fermions in multiple representations

TL;DR

This paper presents a lattice study of an SU(4) gauge theory with multiple fermion representations, focusing on non-perturbative spectral density reconstruction relevant for composite Higgs models.

Contribution

It introduces a novel lattice approach to reconstruct spectral densities in a complex SU(4) gauge theory with multiple fermion representations.

Findings

Successful non-perturbative spectral density reconstruction

Insights into the strongly interacting sector of composite Higgs models

Methodology applicable to other complex gauge theories

Abstract

The naturalness problem in the Higgs sector finds a popular solution in composite Higgs models. In such theories the Higgs boson emerges as the pseudo-Nambu-Goldstone boson associated with the breaking of a global symmetry realised in a new, strongly interacting sector. We address a model arising in this context, a SU(4) gauge theory with fermions in two distinct representations. We present a novel lattice study of this theory, in which we address the non-perturbative reconstruction of spectral densities from lattice correlators.