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Fermi-LAT observations have strongly constrained dark matter annihilationthrough the joint-likelihood analysis of dwarf spheroidal galaxies (dSphs).These constraints are expected to be robust because dSphs have measurable darkmatter content and produce negligible astrophysical emission. However, eachdSph is dim, with a predicted flux that typically falls below the accuracy ofthe background model. We show that this significantly diminishes thereliability of previous joint-likelihood algorithms, and develop an improvedanalysis that directly accounts for the effect of background mismodeling. Thismethod produces more robust limits and detections of dark matter in both realand mock data. We calculate improved limits on the dark matter annihilationcross-section, which differ by nearly a factor of two from previous analyses -despite examining identical data.

A Robust Method for Treating Astrophysical Mismodeling in Dark Matter Annihilation Searches of Dwarf Spheroidal Galaxies