  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.
