Prospects for measuring dark matter microphysics with observations of dwarf spheroidal galaxies

Dark matter annihilation in dwarf spheroidal (dSph) galaxies near the Milky Way has potential to produce a detectable signature gamma-rays. The amplitude of this signal depends on dark density dSph, particle mass, number photons produced an annihilation, and possibly velocity-dependent cross section. We argue that if from multiple dSphs can be measured, it is possible determine velocity-dependence However, we show doing so will require improved constraints dSph profiles, including control sources systematic uncertainty. Making reasonable assumptions about future improvements, make forecasts for ability current experiments -- Fermi, CTA AMEGO constrain velocity dependence.