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.
Highlights
JHEP12(2014)130 knowledge of the energy dependence of the form factors allows to study and relate the DM properties in different energy regimes ranging from a few keV to hundreds of GeV
We study, via lattice simulations, the nonperturbative dynamics of SU(2) gauge theory with two fundamental Dirac flavors
We observe that the form factor obeys vector meson dominance even for the two color theory
Summary
U(iγμDμ mu)u d(iγμDμ md)d which can be discretized in the familiar way to arrive at a Wilson action,. The three correlation functions analyzed in a simultaneous fit to determine the mass and form factor of a Goldstone boson. One method is to perform a simultaneous fit to the three correlation functions shown pictorially in figure 1. The second method used for the lattice analysis, which gives results that are in complete agreement with the first method, is known as the ratio method This second method uses an explicit formula for the form factor, valid for ti t tf : FΠ(Q2). All that remains is to fit the ratio to a constant for each value of Q2 Another pleasant feature of eq (2.20) is that the only two-point function that extends all the way from ti to tf has momentum pf.
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