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We examine the bounds on resonantly-produced sterile neutrino dark matterfrom phase-space densities of Milky Way dwarf spheroidal galaxies (dSphs). Thebounds result from a derivation of the dark matter coarse-grained phase-spacedensity from the stellar kinematics, which allows us to explore bounds fromsome of the most compact dSphs without suffering the resolution limitation fromN-body simulations that conventional methods have. We find that the strongestconstraints come from very compact dSphs, such as Draco II and Segue 1. Weadditionally forecast the constraining power of a few dSph candidates that donot yet have associated stellar kinematic data, and show that they can improvethe bounds if they are confirmed to be highly dark matter dominated systems.Our results demonstrate that compact dSphs provide important constraints onsterile neutrino dark matter that are comparable to other methods using asMilky Way satellite counts. In particular, if more compact systems arediscovered from current or future surveys such as LSST or HSC, it should bepossible to test models that explain the 3.5 keV X-ray line signal with a 7.1keV sterile neutrino particle decay.

Bounds on Resonantly-Produced Sterile Neutrinos from Phase Space Densities of Milky Way Dwarf Galaxies