A Model Independent Method to Study Dark Matter induced Leptons and Gamma rays

Physics – High Energy Physics – High Energy Physics - Phenomenology

Scientific paper

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13 pages, 5 figures, Latex, the fluxes of gamma rays with various astrophysical electron/positron background are included

Scientific paper

We propose a novel method to directly determine the dark matter (DM) induced electron/positron spectrum at the source from experimental measurements at the earth, without reference to specific particle physics models. The DM induced gamma rays emitted via inverse Compton scattering are obtained in a model independent way. However the results depend on the choice of the astrophysical electron/positron background, which is not reliably known. Nevertheless, we calculate, as an illustration, the fluxes of gamma rays from the Fornax cluster in the decaying DM scenario with various astrophysical backgrounds. The predictions turn out to be either in disagreement with or only marginally below the upper limits measured recently by the Fermi-LAT Collaboration. This provides a strong constraint on decaying DM scenario as the gamma rays may be produced in other processes besides inverse Compton scattering, such as the bremsstrahlung and neutral pion decays. In addition, these gamma rays in the GeV range are shown to be almost independent of choices of cosmic ray propagation model and of DM density profile.

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