  We study the phenomenological credibility of a vectorial dark matter, coupled
to a $Z'$ portal through Chern-Simons interaction. We scrutinize two
possibilities of connecting a $Z'$ with the Standard Model: (1) through kinetic
mixing and (2) from a second Chern-Simons interaction. Both scenarios are
characterized by suppressed nuclear recoil scatterings, rendering direct
detection searches not promising. Indirect detection experiments, on the other
hand, furnish complementary limits for TeV scale masses, specially with the
CTA. Searches for mono-jet and dileptons signals at the LHC are important to
partially probe the kinetic mixing setup. Finally we propose an UV completion
of the Chern-Simons Dark Matter framework.
