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