Progress on the spectroscopy of an Sp(4) gauge theory coupled to matter in multiple representations

TL;DR

This paper reports on lattice calculations of the mass spectra of low-lying composite states in an Sp(4) gauge theory with multiple fermion representations, relevant for composite Higgs models and top-quark mass generation.

Contribution

It provides new lattice results for meson and chimera baryon masses in an Sp(4) gauge theory with fundamental and antisymmetric fermions, advancing understanding of composite Higgs models.

Findings

Measured meson and chimera baryon masses.

Identified key inputs for top partial compositeness.

Progress in lattice techniques for Sp(4) gauge theories.

Abstract

We report progress on our lattice calculations for the mass spectra of low-lying composite states in the Sp(4) gauge theory coupled to two and three flavors of Dirac fermions transforming in the fundamental and the two-index antisymmetric representations, respectively. This theory provides an ultraviolet completion to the composite Higgs model with Goldstone modes in the SU(4)/Sp(4) coset and with partial compositeness for generating the top-quark mass. We measure the meson and chimera baryon masses. These masses are crucial for constructing the composite Higgs model. In particular, the chimera baryon masses are important inputs for implementing top partial compositeness. We employ Wilson fermions and the Wilson plaquette action in our simulations. Techniques such as APE and Wuppertal smearing, as well as the procedure of generalised eigenvalue problem, are implemented in our analysis.