A thermal relic WIMP remains a prime candidate for the nature of Dark Matter,particularly for the more poorly constrained case of a heavy (≳ 1 TeV)WIMP. The highest fluxes from WIMP annihilations are expected in the region ofthe Galactic Centre (GC) where current and near future gamma-ray observatoriescan be exploited to place tight limits on the WIMP paradigm. It is regularlynoted that the annihilation flux of gammas will be accompanied by chargedsecondary particles which can produce 'delayed' inverse Compton (IC) gamma-rayemission, but this component is often neglected in indirect Dark Mattersearches. In this work the inverse Compton emission is studied for the specificconditions of heavy WIMP annihilation in the GC. Using models for the magneticand radiation fields of the region, and taking into consideration the transportof secondary particles, we find that for TeV WIMPs the IC component cannot beneglected in the GC, with the particles produced cooling within the regionrather than propagating out in to the Galaxy. This effect changes the predictedspectral shape substantially and thus boosts the detection prospects for heavyWIMPs.<br
