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We implemented a novel technique to perform the collective spectral analysisof sets of multiple gamma-ray point sources using the data collected by theLarge Area Telescope onboard the Fermi satellite. The energy spectra of thesources are reconstructed starting from the photon counts and without assumingany spectral model for both the sources and the background. In case of faintsources, upper limits on their fluxes are evaluated with a Bayesian approach.This analysis technique is very useful when several sources with similarspectral features are studied, such as sources of gamma rays from annihilationof dark matter particles. We present the results obtained by applying thisanalysis to a sample of dwarf spheroidal galaxies and to the Milky Way darkmatter halo. The analysis of dwarf spheroidal galaxies yields upper limits onthe product of the dark matter pair annihilation cross section and the relativevelocity of annihilating particles that are well below those predicted by thecanonical thermal relic scenario in a mass range from a few GeV to a few tensof GeV for some annihilation channels.

astroparticle physics

A model-independent analysis of the Fermi Large Area Telescope gamma-ray  data from the Milky Way dwarf galaxies and halo to constrain dark matter  scenarios