I suppose they are looking for peaks in gamma and antiproton spectra due to dark matter annihilation. To get a better idea of what kind of results (positive or negative) we can expect, I'm wondering what kind of models they can probe and what their current reach is.
For example, assuming neutralino dark matter, can they strictly exclude $\tilde\chi^0_1$ masses up to $x$ GeV (like LEP)? Or only under such-and-such conditions (e.g. $\tan \beta > \ldots)$? What parameter regions of cMSSM-like SUSY models are within reach, which axion masses, etc.?