  We analyze the sensitivity of searches for dark matter in the jets and
missing energy channel in the case where the particle mediating interactions
between hadronic matter and DM is collider accessible. We consider all tree
level UV completions of interactions between fermion DM and quarks which
contribute to direct detection, and derive bounds which apply to elastic or
inelastic scattering dark matter explanations of direct detection signals. We
find that studies based on effective operators give robust bounds when the
mediator is heavy enough to resonantly produce the final state in question.
