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The Milky Way’s dwarf spheroidal (dSph) galaxies are among the best targets for the indirect detection of dark matter (DM) from annihilation (resp. decay) products. The expected gammaray flux depends on the so-called ‘J-factor’ (resp. ‘D-factor’), the integral of the squared DM density (resp. DM density) along the line-of-sight. Using a large number of simulated dSphs, we define an optimized Jeans analysis setup for the reconstruction of the DM density with stellarkinematic data. Employing this setup, we provide estimates of astrophysical Jand D-factors for twenty-two Galactic dSphs, including the newly discovered Reticulum II. We finally identify several criteria that may indicate a contamination of a kinematic dataset by interlopers, leading to unreliable astrophysical factors. We find that the kinematic sample of Segue I, one of the closest dSph, might be affected by this issue.

Dark matter annihilation and decay factors in the Milky Way's dwarf spheroidal galaxies