Type: Article
Publication Date: 2020-07-24
Citations: 27
DOI: https://doi.org/10.1103/physrevd.102.023029
We calculate the effective $J$-factors, which determine the strength of indirect detection signals from dark matter annihilation, for 25 dwarf spheroidal galaxies (dSphs). We consider several well-motivated assumptions for the relative velocity dependence of the dark matter annihilation cross section: ${\ensuremath{\sigma}}_{A}v$: $s$-wave (velocity independent), $p$-wave (${\ensuremath{\sigma}}_{A}v\ensuremath{\propto}{v}^{2}$), $d$-wave (${\ensuremath{\sigma}}_{A}v\ensuremath{\propto}{v}^{4}$), and Sommerfeld-enhancement in the Coulomb limit (${\ensuremath{\sigma}}_{A}v\ensuremath{\propto}1/v$). As a result we provide the largest and most updated sample of $J$-factors for velocity-dependent annihilation models. For each scenario, we use Fermi-LAT gamma-ray data to constrain the annihilation cross section. Due to the assumptions made in our gamma-ray data analysis, our bounds are comparable to previous bounds on both the $p$-wave and Sommerfeld-enhanced cross sections using dSphs. Our bounds on the $d$-wave cross section are the first such bounds using indirect detection data.