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This work has been supported by MICINN (Spain) project numbers FIS 2008-01323, FIS2011-23000, FPA2011-27853-01 and Consolider Ingenio MULTIDARK CSD2009-00064.We study the main spectral features of the gamma-ray fluxes observed by the High Energy Stereoscopic System (HESS) from the J1745-290 Galactic Center source during the years 2004, 2005 and 2006. In particular, we show that these data are well fitted as the secondary gamma-rays photons generated from dark matter annihilating into Standard Model particles in combination with a simple power law background. We present explicit analyses for annihilation in a single standard model particle-antiparticle pair. In this case, the best fits are obtained for the u (u) over bar and d (d) over bar quark channels and for the W+W- and ZZ gauge bosons, with background spectral index compatible with the Fermi-Large Area Telescope (LAT) data from the same region. The fits return a heavy WIMP, with a mass above similar to 10 TeV, but well below the unitarity limit for thermal relic annihilation.engjournal articlehttp://dx.doi.org/10.1088/1475-7516/2013/04/051http://iopscience.iop.orgopen access53Center Black-HoleGalactic-CenterHigh-EnergyModelsHalosAnnihilationContractionTelescopeDirectionEmissionFísica (Física)22 Física