Spectroscopy of $Sp(4)$ lattice gauge theory with $n_f=3$ antisymmetric fermions

TL;DR

This study numerically investigates the meson spectrum of the $Sp(4)$ lattice gauge theory with three antisymmetric fermions, relevant for composite Higgs and dark matter models, providing continuum extrapolated results.

Contribution

It presents the first detailed lattice calculation of meson masses and decay constants in $Sp(4)$ gauge theory with three antisymmetric fermions, including excited states.

Findings

Continuum-extrapolated meson spectrum obtained.

Masses of pseudoscalar, vector, and axial vector mesons measured.

First excited vector meson states identified.

Abstract

We perform numerical calculations of masses and decay constants of the lightest (flavoured) pseudoscalar, vector and axial vector mesons in the $Sp(4)$ lattice gauge theory with three Dirac fermions in the antisymmetric representation. The corresponding continuum theory plays an important role in certain ultra-violet complete realisations of composite Higgs, partial top compositeness, and composite dark matter models. In addition, we measure the masses of other flavoured mesons in spin-$0$ and $1$ channels, as well as the first excited state of the vector mesons. Using the gradient flow to set the scale, we carry out the continuum extrapolation and show preliminary results for the meson spectrum of the theory.