  A TeV scale electroweak particle is a well motivated candidate for the dark
matter (DM) of our Universe. Yet such a particle may only be detectable using
indirect detection instruments sensitive to TeV-scale gamma rays that can
result from dark matter annihilations. We present a mock analysis of the
sensitivity for the present ground-based Cherenkov telescope array H.E.S.S.
(High Energy Spectroscopic System) to detect TeV scale DM in the Galactic
Center region. The work combines next-to-leading-logarithmic order calculations
for the annihilation photon spectrum, as well as a comprehensive treatment of
detector effects and expected backgrounds. Forecast limits on the sensitivity
of H.E.S.S. have been derived across the important TeV mass range, assuming
different DM density profiles and focusing on the canonical WIMP dark matter
candidate Wino.These limits test our present and future ability to probe the
predicted thermal cross section for some of the most promising DM candidates
that could be discovered in the coming decade.
