  Having so far only indirect evidence for the existence of Dark Matter a
plethora of experiments aims at direct detection of Dark Matter through the
scattering of Dark Matter particles off atomic nuclei. For the correct
interpretation and identification of the underlying nature of the Dark Matter
constituents higher-order corrections to the cross section of Dark
Matter-nucleon scattering are important, in particular in models where the
tree-level cross section is negligibly small. In this work we revisit the
electroweak corrections to the dark matter-nucleon scattering cross section in
a model with a pseudo Nambu-Goldstone boson as the Dark Matter candidate. Two
calculations that already exist in the literature, apply different approaches
resulting in different final results for the cross section in some regions of
the parameter space leading us to redo the calculation and analyse the two
approaches to clarify the situation. We furthermore update the experimental
constraints and examine the regions of the parameter space where the cross
section is above the neutrino floor but which can only be probed in the far
future.
