Testing dark matter with Cherenkov light -- prospects of H.E.S.S. and
  CTA for exploring minimal supersymmetry
  We provide an updated and improved study of the prospects of the H.E.S.S. and
Cherenkov Telescope Array (CTA) experiments in testing neutralino dark matter
in the Minimal Supersymmetric Standard Model with nine free parameters
(p9MSSM). We include all relevant experimental constraints and theoretical
developments, in particular the calculation of the Sommerfeld enhancement for
both present-day annihilation and the relic abundance. We perform a
state-of-the-art analysis of the CTA sensitivity with a log-likelihood test
ratio statistics and apply it to a numerical scan of the p9MSSM parameter space
focusing on a TeV scale dark matter. We find that, assuming Einasto profile of
dark matter halo in the Milky Way, H.E.S.S. has already been able to nearly
reach the so-called thermal WIMP value, while CTA will go below it by providing
a further improvement of at least an order of magnitude. Both H.E.S.S. and CTA
are sensitive to several cases for which direct detection cross section will be
below the so-called neutrino floor, with H.E.S.S. being sensitive to most of
the wino region, while CTA also covering a large fraction of the ~1 TeV
higgsino region. We show that CTA sensitivity will be further improved in the
monochromatic photon search mode for both single-component and underabundant
dark matter.
