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We infer dark matter properties from gamma ray residuals extracted usingeight different interstellar emission scenarios proposed by the Fermi-LATCollaboration to explain the Galactic Center gamma ray excess. Adopting themost plausible simplified ansatz, we assume that the dark matter particle is aMajorana fermion interacting with standard fermions via a scalar mediator.Using this theoretical hypothesis and the Fermi residuals we calculate Bayesianevidences, including Fermi-LAT exclusion limits from 15 dwarf spheroidalgalaxies as well. Our Bayes factors single out four of the Fermi scenarios ascompatible with the simplified dark matter model. In the most preferredscenario the dark matter (mediator) mass is in the 100-500 (1-200) GeV rangeand its annihilation is dominated by top quark final state. Less preferred butstill plausible is annihilation into b\bar{b} and tau^+tau^- final states withan order of magnitude lower dark matter mass. Our conclusion is that theproperties of dark matter extracted from gamma ray data are highly sensitive tothe modeling of the interstellar emission.

Dark matter properties implied by gamma ray interstellar emission models