Towards a composite Higgs and a partially composite top quark

TL;DR

This paper investigates a lattice model of SU(4) gauge theory with two fermion representations to explore composite Higgs and top quark models, providing key calculations of correlators and matrix elements relevant to particle physics.

Contribution

It presents the first lattice calculations of correlators and matrix elements in a candidate composite Higgs and top quark model, assessing its viability for realistic particle masses.

Findings

The current correlator yields an ingredient for the Higgs potential.

Hyperbaryon matrix elements are very small, challenging the model's ability to produce a realistic top mass.

The theory is disfavored as a source of a realistic top quark mass.

Abstract

We have calculated quantities of interest to a theory of compositeness. The lattice model, approximating the candidate theory, is the SU(4) gauge theory coupled to fermions in two color representations. For the composite Higgs, a current correlator gives one of the ingredients of the effective Higgs potential. For the partially composite top quark, we have hyperbaryon matrix elements that govern mixing of the fundamental quark with its heavy composite partner. The matrix elements turn out to be so small that the theory is disfavored as a source of a realistic top mass.