  We present a calculation of the next-to-leading order QCD corrections for the
scattering of Dark Matter particles off nucleons in the framework of simplified
models with s- and t-channel mediators. These results are matched to the Wilson
coefficients and operators of an effective field theory that is generally used
for the presentation of experimental results on spin-independent and
spin-dependent direct detection rates. Detailed phenomenological studies
illustrate the complementary reach of collider searches for Dark Matter and the
direct detection experiments CRESST and XENON. In the case of cancellation
effects in the tree-level contributions, one-loop corrections can have a
particularly large impact on exclusion limits in the case of combined
s+t-channel models.
