$J$-factors for Velocity-dependent Dark Matter

Abstract

If dark matter annihilates with a velocity-dependent cross section within a subhalo, then the magnitude and angular distribution of the resulting photon signal will change. These effects are encoded in the $J$-factor. In this work we compute the $J$-factor for a variety of choices for the cross section velocity-dependence, and for a variety of choices for the dark matter profile, including generalized Navarro-Frenk-White (NFW), Einasto, Burkert and Moore. We include the results of these computations as data products alongside the article. We find that the angular distribution of a future signal would depend on the velocity-dependence of the annihilation cross section more strongly for cuspy profiles than for cored profiles. Interestingly, we find that for a density profile with an inner slope power law steeper than 4/3, Sommerfeld-enhanced annihilation in the Coulomb limit leads to a divergence at the center, requiring a more detailed treatment of departure from the Coulomb limit.

9 pages, 5 figures

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Cited by in corpus (6)

• Constraints on dark matter annihilation and decay from the large-scale structure of the nearby universe
• Classification of gamma-ray targets for velocity-dependent and subhalo-boosted dark-matter annihilation
• Constraining $p$-wave Dark Matter Annihilation with Gamma-ray Observations of M87
• Searching for velocity-dependent dark matter annihilation signals from extragalactic halos
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• Analytical insight into dark matter subhalo boost factors for Sommerfeld-enhanced $s$- and $p$-wave $\gamma$-ray signals