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We compare the measured angular cross-correlation between the Fermi-LATgamma-ray sky and catalogues of extra-galactic objects with the expected signalinduced by weakly interacting massive particle (WIMP) dark matter (DM). Weinclude a detailed description of the contribution of astrophysical gamma-rayemitters such as blazars, misaligned AGN and star forming galaxies, and performa global fit to the measured cross-correlation. Five catalogues are considered:SDSS-DR6 quasars, 2MASS galaxies, NVSS radio galaxies, SDSS-DR8 Luminous RedGalaxies and SDSS-DR8 main galaxy sample. To model the cross-correlation signalwe use the halo occupation distribution formalism to estimate the number ofgalaxies of a given catalogue in DM halos and their spatial correlationproperties. We discuss uncertainties in the predicted cross-correlation signalarising from the DM clustering and WIMP microscopic properties, which set theDM gamma-ray emission. The use of different catalogues probing objects atdifferent redshifts reduces significantly, though not completely, thedegeneracy among the different gamma-ray components. We find that the presenceof a significant WIMP DM signal is allowed by the data but not significantlypreferred by the fit, although this is mainly due to a degeneracy with themisaligned AGN component. With modest substructure boost, the sensitivity ofthis method excludes thermal annihilation cross sections at 95% C.L. for WIMPmasses up to few tens of GeV. Constraining the low-redshift properties ofastrophysical populations with future data will further improve the sensitivityto DM.

Dark matter searches in the gamma-ray extragalactic background via cross-correlations with galaxy catalogues