# Radiative contribution to the composite-Higgs potential in a two-representation lattice model

## TL;DR

This paper computes the electroweak gauge bosons' contribution to the Higgs potential in a two-representation lattice gauge theory, finding it comparable to QCD, which informs composite Higgs models.

## Contribution

It provides the first lattice calculation of the low-energy constant controlling the Higgs potential in a two-representation model, near the continuum and chiral limits.

## Key findings

- CLR is roughly of the same size as in QCD.
- The calculation is performed close to the continuum and chiral limits.
- Results support the viability of composite Higgs models with similar gauge dynamics.

## Abstract

Working in a two-representation lattice gauge theory that is close to a composite Higgs model, we calculate the low-energy constant CLR which controls the contribution of the electroweak gauge bosons to the Higgs potential. In QCD, the corresponding low-energy constant governs the mass splitting of the pion multiplet. Taking the continuum and chiral limits, we find that CLR, in units of the pseudoscalar decay constant, is roughly of the same size as its QCD counterpart.