Scattering of dark pions in an Sp(4)-gauge theory

Abstract

In this work we consider strongly interacting dark matter candidates as composite states of 𝑁 𝑓 = 2 fermions charged under a dark 𝑆 𝑝(4) gauge group in the fundamental representation. We give expressions that allow the calculation of correlation functions of two pseudo-Nambu-Goldstonebosons with lattice field theory and present first results on the scattering phase shift in the isospin-2 channel in the theory from first principles. We give a lower limit on the dark matter particle mass by comparing our results with astrophysical constraints on the cross-section.

Strongly coupled gauge theories towards physics beyond the Standard Model

“…Strongly coupled gauge theories towards physics beyond the Standard Model Jong-Wan Lee pions using Lüscher's method, where the preliminary results for the isospin-2 channel shows that the s-wave scattering length is negative across all ensembles considered [93]. Using the constraints on the dark matter cross-section from astrophysical observations, the authors find that the mass of SIMP dark matter is predicted to be 𝑚 DM > 115 MeV.…”