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Several nearby ultra-faint satellites of the Milky Way discovered by the DarkEnergy Survey (DES) during the last few years are promising targets forindirect dark matter (DM) searches with very-high-energy (VHE, E$\gtrsim$100GeV) gamma rays. The H.E.S.S. experiment has carried out an observationalcampaign in 2017 and 2018 towards a selection of the most promising DES dwarfsatellites, accumulating a total observation time of about 80 hours. Theindividual datasets have been used to look for a DM signal in severalannihilation channels. No significant VHE gamma-ray excess above the backgroundis found in any of the targets. Constraints are derived on thethermally-averaged velocity-weighted annihilation cross section $\langle \sigmav \rangle$ of the DM particles versus their mass. A combined analysis of thedatasets has been performed. The strongest 95% C.L. upper limits reach a$\langle \sigma v \rangle$ value of a few $10^{-24}$ cm$^3$ s$^{-1}$ for the DMcontinuum signals in the TeV DM mass range. They are the first constraintsderived from imaging atmospheric Cherenkov telescope observations towards DESdwarf galaxy satellites. These limits are among the most constraining so far inthe TeV DM mass range towards dwarf satellites of the Milky Way.

Dark Matter search with H.E.S.S. towards ultra-faint dwarf nearby DES satellites of the Milky Way