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We recently proposed to cross-correlate the diffuse extragalactic gamma-raybackground with the gravitational lensing signal of cosmic shear. Thisrepresents a novel and promising strategy to search for annihilating ordecaying particle dark matter (DM) candidates. In the present work, wedemonstrate the potential of a tomographic-spectral approach: measuring thecross-correlation in separate bins of redshift and energy significantlyimproves the sensitivity to a DM signal. Indeed, the technique proposed heretakes advantage of the different scaling of the astrophysical and DM componentswith redshift and, simultaneously, of their different energy spectra anddifferent angular extensions. The sensitivity to a particle DM signal isextremely promising even when the DM-induced emission is quite faint. We firstquantify the prospects of detecting DM by cross-correlating the Fermi LargeArea Telescope (LAT) diffuse gamma-ray background with the cosmic shearexpected from the Dark Energy Survey. Under the hypothesis of a significantsubhalo boost, such a measurement can deliver a 5-sigma detection of DM, if theDM particle is lighter than 300 GeV and has a thermal annihilation rate. Wethen forecast the capability of the European Space Agency Euclid satellite(whose launch is planned for 2020), in combination with an hypothetical futuregamma-ray detector with slightly improved specifications compared to currenttelescopes. We predict that the cross-correlation of their data will allow ameasurement of the DM mass with an uncertainty of a factor of 1.5-2, even formoderate subhalo boosts, for DM masses up to few hundreds of GeV and thermalannihilation rates.

Tomographic-spectral approach for dark matter detection in the cross-correlation between cosmic shear and diffuse gamma-ray emission