Composite Goldstone Dark Matter: Experimental Predictions from the Lattice

TL;DR

This paper uses lattice simulations to study an $SU(2)$ gauge theory with two flavors, predicting properties of composite Goldstone boson dark matter and its experimental detectability.

Contribution

It provides nonperturbative lattice results for a model of composite dark matter, including form factors and electromagnetic properties, relevant for experimental searches.

Findings

Form factor obeys vector meson dominance.

Dark matter cross sections constrained by experiments.

Model offers a viable composite dark matter candidate.

Abstract

We study, via first principles lattice simulations, the nonperturbative dynamics of $SU(2)$ gauge theory with two fundamental Dirac flavors. The model can be used simultaneously as a template for composite Goldstone boson dark matter and for breaking the electroweak symmetry dynamically. We compute the form factor, allowing us to estimate the associated electromagnetic charge radius. Interestingly we observe that the form factor obeys vector meson dominance even for the two color theory. We finally compare the model predictions with dark matter direct detection experiments. We find that the composite Goldstone boson dark matter cross sections is constrained by the most stringent direct-detection experiments. Our results are a foundation for quantitative new composite dynamics relevant for model building, and are of interest to current experiments.