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The extended excess toward the Galactic Center (GC) in gamma rays inferredfrom Fermi-LAT observations has been interpreted as being due to dark matter(DM) annihilation. Here, we perform new likelihood analyses of the GC and showthat, when including templates for the stellar galactic and nuclear bulges, theGC shows no significant detection of a DM annihilation template, even aftergenerous variations in the Galactic diffuse emission models and a wide range ofDM halo profiles. We include Galactic diffuse emission models with combinationsof three-dimensional inverse Compton maps, variations of interstellar gas maps,and a central source of electrons. For the DM profile, we include bothspherical and ellipsoidal DM morphologies and a range of radial profiles fromsteep cusps to kiloparsec-sized cores, motivated in part by hydrodynamicalsimulations. Our derived upper limits on the dark matter annihilation fluxplace strong constraints on DM properties. In the case of the pure $b$-quarkannihilation channel, our limits on the annihilation cross section are morestringent than those from the Milky Way dwarfs up to DM masses of approximatelyTeV and rule out the thermal relic cross section up to approximately 300 GeV.Better understanding of the DM profile, as well as the Fermi-LAT data at itshighest energies, would further improve the sensitivity to DM properties.

Strong constraints on thermal relic dark matter from Fermi-LAT observations of the Galactic Center