Composite Goldstone Dark Matter: Experimental Predictions from the Lattice

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.

RevTeX, 26 pages, 10 figures. Highly expanded version where the details of the numerical analysis are spelled out in much detail. The updated manuscript includes also refined numerical analyses including more data. We also updated the comparison with direct-detection constraints. The results fully support the conclusions of the first version of the manuscript