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Recently it was shown that the excess of diffuse Galactic gamma rays above 1 GeV could be interpreted as a Dark Matter annihilation signal. From the spectral shape of the excess it is possible to determine a range for the allowed WIMP mass which can be used to test the supersymmetric parameter space. It is found that the EGRET excess combined with electroweak and other constraints, e.g. relic denisity or direct detection limits, is fully consistent with the minimal mSUGRA model for scalars in the TeV range and gauginos below 500 GeV.

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