Composite Higgs Dynamics on the Lattice

TL;DR

This paper uses lattice simulations to study an SU(2) gauge theory with two fermion flavors, providing insights into composite Higgs models and potential dark matter candidates by analyzing the spectrum and symmetry breaking patterns.

Contribution

It presents the first lattice investigation of the SU(2) gauge theory with two flavors, detailing its spectrum, symmetry breaking, and relevance for composite Higgs and dark matter models.

Findings

The model exhibits SU(4)/Sp(4) flavor symmetry breaking.

Estimated the chiral condensate value.

Determined the mass spectrum of lightest resonances.

Abstract

We investigate the spectrum of the SU(2) gauge theory with $N_f$ = 2 flavors of fermions in the fundamental representation, in the continuum, using lattice simulations. This model provides a minimal template which has been used for different strongly coupled extensions of the Standard Model ranging from composite (Goldstone) Higgs models to intriguing types of dark matter candidates, such as the SIMPs. Here we will focus on the composite Goldstone Higgs paradigm, for which this model provides a minimal UV complete realization in terms of a new strong sector with fermionic matter. After introducing the relevant Lattice methods used in our simulations, we will discuss our numerical results. We show that this model features a SU(4)/Sp(4) $\sim$ SO(6)/SO(5) flavor symmetry breaking pattern, and estimate the value of its chiral condensate. Finally, we present our results for the mass spectrum of the lightest spin one and zero resonances, analogue to the QCD $\rho$, $a_1$, $\sigma$, $\eta'$, $a_0$ resonances, which are relevant for searches of new, exotic resonances at the LHC.