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Dark Matter searches through cross-correlations of gamma rays with neutral-hydrogen intensity mapping

In this work we derive the first theoretical prediction of the cross-correlation signal between the unresolved gamma-ray background and the 21-cm line originated by the spin-flip transition of neutral hydrogen atoms, by taking as benchmark experiment the space telescope {\it Fermi}-LAT for gamma rays and the next-generation radio telescope Square Kilometer Array (SKA) as well as its precursor MeerKAT for the 21-cm emission. The attainable bounds in the dark matter (DM) parameter space are envisioned to be competitive already with the combination {\it Fermi}-LAT $\times$ MeerKAT, but SKA will allow to go deeper and probe a thermal DM particle up to masses of 130 GeV. A future gamma-ray detector with better angular resolution and larger exposure together with an ungraded radio telescope will have the potentiality to probe a DM candidate with thermal annihilation cross-section and masses up to the TeV scale.