A search for a very-high-energy (VHE; โฅ100โโGeV) ๐พ-ray signal from self-annihilating particle dark matter (DM) is performed towards a region of projected distance ๐ โผ45โ150โโpc from the Galactic center. The background-subtracted ๐พ-ray spectrum measured with the High Energy Stereoscopic System (H.E.S.S.) ๐พ-ray instrument in the energy range between 300 GeV and 30 TeV shows no hint of a residual ๐พ-ray flux. Assuming conventional Navarro-Frenk-White and Einasto density profiles, limits are derived on the velocity-weighted annihilation cross section โจ๐โข๐ฃโฉ as a function of the DM particle mass. These are among the best reported so far for this energy range and in particular differ only little between the chosen density profile parametrizations. In particular, for the DM particle mass of โผ1โโTeV, values for โจ๐โข๐ฃโฉ above 3 ร10โ25โโcm3โsโ1 are excluded for the Einasto density profile.

