Novel Techniques for Decomposing Diffuse Backgrounds
Brandon S. Hensley, Vasiliki Pavlidou, and Jennifer M. Siegal-Gaskins

TL;DR
This paper introduces novel analytical techniques to decompose the diffuse gamma-ray background into its source components by leveraging anisotropy and intensity spectra, without prior assumptions, demonstrated through Fermi-LAT data scenarios.
Contribution
The paper develops new methods to extract individual source spectra from diffuse backgrounds using anisotropy and intensity data without prior spectral assumptions.
Findings
Methods successfully recover source spectra in simulated scenarios.
Techniques applicable to various diffuse backgrounds and source compositions.
Potential to inform future gamma-ray background studies within 10 years.
Abstract
The total anisotropy of a diffuse background composed of two or more sources, such as the Fermi-LAT--measured gamma-ray background, is set by the anisotropy of each source population and the contribution of each population to the total intensity. The total anisotropy as a function of energy (the anisotropy energy spectrum) will modulate as the relative contributions of the sources change, implying that the anisotropy energy spectrum also encodes the intensity spectrum of each source class. We develop techniques, applicable to any such diffuse background, for unraveling the intensity spectrum of each component source population given a measurement of the total intensity spectrum and the total anisotropy energy spectrum, without introducing \emph{a priori} assumptions about the spectra of the source classes. We demonstrate the potential of these methods by applying them to example…
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