Several particle physics theories predict the existence of suitable candidates for composing the dark matter in the Universe. If these particles originate from physics at the TeV scale, they could be created at the Large Hadron Collider, and their annihilations might be detected as radiation in gamma-ray telescopes. Alternatively, as suggested by anomalous cosmic ray data, dark matter could be composed by light hidden sector particles. These hidden sectors are probed in high luminosity beam-dump experiments, supplemented by studies of stellar evolution. I will review the constraints on different candidate particles, and, using a method due to Eddington, discuss how the velocity distribution can affect the prospects for indirect detection of dark matter.