The Galactic Isotropic $\gamma$-ray Background and Implications for Dark Matter
Sheldon S. Campbell, Anna Kwa, Manoj Kaplinghat

TL;DR
This paper analyzes the isotropic gamma-ray background around the Galactic center using Fermi-LAT data, finding that the profile aligns with existing models and constrains dark matter annihilation cross sections near the thermal WIMP benchmark.
Contribution
It introduces a new Poisson ordered-pixel method for measuring the gamma-ray flux profile and compares it with a statistical correlation method, providing consistent results and improved dark matter constraints.
Findings
GI flux profile matches existing astrophysical models
Dark matter annihilation constraints are close to the thermal WIMP cross section below 100 GeV
Refined measurements can tighten dark matter constraints by a factor of a few
Abstract
We present an analysis of the radial angular profile of the galacto-isotropic (GI) -ray flux--the statistically uniform flux in circular annuli about the Galactic center. Two different approaches are used to measure the GI flux profile in 85 months of Fermi-LAT data: the BDS statistic method which identifies spatial correlations, and a new Poisson ordered-pixel method which identifies non-Poisson contributions. Both methods produce similar GI flux profiles. The GI flux profile is well-described by an existing model of bremsstrahlung, production, inverse Compton scattering, and the isotropic background. Discrepancies with data in our full-sky model are not present in the GI component, and are therefore due to mis-modeling of the non-GI emission. Dark matter annihilation constraints based solely on the observed GI profile are close to the thermal WIMP cross section below…
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