  We consider models of dark matter where the couplings between the standard
model and the dark sector fall at resonance due to kinematics and direct
detection experiments become insensitive. To be specific, we consider a simple
model of 100 GeV - TeV scale dark matter coupled to the standard model via a
vector boson. We explore whether it will be possible to exclude such regions of
the parameter space using future observations of dijet rates at the LHC and CTA
and AMS observations of the Galactic Centre.
