  An interesting class of models posits that the dark matter is a Majorana
fermion which interacts with a quark together with a colored scalar mediator.
Such a theory can be tested in direct detection experiments, through dark
matter scattering with heavy nuclei, and at the LHC, via jets and missing
energy signatures. Motivated by the fact that such theories have
spin-independent interactions that vanish at tree level, we examine them at one
loop (along with RGE improvement to resum large logs), and find that despite
its occurrence at a higher order of perturbation theory, the spin-independent
scattering searches typically impose the strongest constraints on the model
parameter space. We further analyze the corresponding LHC constraints at one
loop and find that it is important to take them into account when interpreting
the implications of searches for jets plus missing momentum on this class of
models, thus providing the corresponding complementary information for this
class of models.
