Vector-channel scattering of dark particles in a Sp(4) gauge theory

TL;DR

This paper presents lattice simulation results of an Sp(4) gauge theory with two fermions, analyzing dark matter candidate interactions through scattering amplitudes using Lüscher's formalism.

Contribution

It provides the first lattice study of dark matter interactions in an Sp(4) gauge theory, focusing on pseudoscalar scattering in the spin-1 channel.

Findings

Preliminary energy levels for various fermion masses.

Initial scattering amplitude results in the spin-1 channel.

Insights into dark matter models from strongly interacting theories.

Abstract

We report new results obtained in our lattice studies of the $Sp(4)$ gauge theory coupled to two fundamental Dirac fermions. This theory provides a candidate for the dynamical origin of dark matter models within the strongly interacting massive particle paradigm. We employ L\"uscher's formalism to analyse finite-volume energy levels and study the scattering amplitude of two pseudoscalar states in the spin-1 channel. We present our preliminary findings for a set of ensembles generated within a broad range of (Wilson) fermion masses.