Antiprotons from Dark Matter: Current constraints and future
  sensitivities
  We systematically analyze the impact of current and foreseen cosmic ray
antiproton measurements on the properties of Dark Matter (DM). We find that: 1)
The current data from PAMELA impose constraints on annihilating and decaying DM
which are similar to (or even slightly stronger than) the most stringent bounds
coming from Fermi gamma rays, for hadronic channels and with fiducial choices
for the astrophysical parameters. 2) The upcoming data from AMS-02 have the
power to improve these constraints by slightly less than one order of magnitude
and even to probe the thermal relic DM in the range 30-200 GeV, for hadronic
channels. However, with wider choices for the astrophysical parameters the
uncertainty on the constraints spans between one and two orders of magnitude.
We then explore the capabilities of early AMS-02, data to reconstruct the
underlying DM properties in the case of a positive detection of a significant
excess (attributed to DM annihilations) over the background. For hadronic
channels, we find that AMS-02 should be able to somewhat determine the DM mass
and the cross-section, but not the specific annihilation channel nor the
branching ratios. If other more exotic annihilation channels are allowed, the
reconstruction will be more challenging.
