# Partial compositeness and baryon matrix elements on the lattice

## TL;DR

This paper presents the first lattice calculation of a key matrix element in a model of partial compositeness, providing insights into fermion mass generation and challenging the viability of a specific composite Higgs model for the top quark.

## Contribution

It introduces a lattice computation of the relevant matrix element in a near-realistic composite Higgs model with partial compositeness, a novel step in this research area.

## Key findings

- The matrix element calculated is small.
- Results disfavor the model for generating a realistic top mass.

## Abstract

Partial compositeness is a mechanism for the generation of fermion masses which replaces a direct Higgs coupling to the fermions by a linear mixing with heavy composite partners. We present the first calculation of the relevant matrix element in a lattice model which is very close to a candidate theory containing a composite Higgs boson and a partially composite top quark. Specifically, our model is an SU(4) gauge theory coupled to dynamical fermions in the fundamental and two-index antisymmetric (sextet) representations. The matrix element we obtain is small and hence our result disfavors the scenario of obtaining a realistic top mass in this model.