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By using recent data, we directly determine the dark matter (DM) induced$e^\pm$ spectrum at the source from experimental measurements at the earth,without reference to specific particle physics models. The DM induced gammarays emitted via inverse Compton scattering are then obtained in a modelindependent way. However the results depend on the choice of the astrophysical$e^\pm$ background, which is not reliably known. Nevertheless, we calculate, asan illustration, the fluxes of gamma rays from the Fornax cluster in thedecaying DM scenario with various astrophysical $e^\pm$ backgrounds. Withoutany assumptions on details of the DM model, the predictions turn out to beeither in disagreement with or only marginally below the upper limits measuredrecently by the Fermi-LAT Collaboration. In addition, these DM induced ICSgamma rays in the GeV range are shown to be almost independent of choices ofcosmic ray propagation model and of DM density profile, when a givenastrophysical $e^\pm$ background is assumed. This provides a strong constrainton decaying DM scenario as the gamma rays may be produced in other processesbesides inverse Compton scattering, such as the bremsstrahlung and neutral piondecays.

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