Higgs compositeness in Sp(2N) gauge theories - Determining the low-energy constants with lattice calculations

TL;DR

This paper explores the low-energy effective theory of a composite Higgs model based on SU(4)/Sp(4) symmetry breaking, using lattice simulations of an Sp(4) gauge theory with two fermion flavors to determine key constants.

Contribution

It introduces a lattice-based approach to compute low-energy constants for the SU(4)/Sp(4) composite Higgs model, including initial dynamical simulation results.

Findings

Early results on meson spectrum at coarse lattice spacing

Phase structure insights from dynamical simulations

Method validation on quenched theory

Abstract

As a first step towards a quantitative understanding of the SU(4)/Sp(4) composite Higgs model through lattice calculations, we discuss the low energy effective field theory resulting from the SU(4) $\to$ Sp(4) global symmetry breaking pattern. We then consider an Sp(4) gauge theory with two Dirac fermion flavours in the fundamental representation on a lattice, which provides a concrete example of the microscopic realisation of the SU(4)/Sp(4) composite Higgs model. For this system, we outline a programme of numerical simulations aiming at the determination of the low-energy constants of the effective field theory and we test the method on the quenched theory. We also report early results from dynamical simulations, focussing on the phase structure of the lattice theory and a calculation of the lowest-lying meson spectrum at coarse lattice spacing.