The Diffuse X-Ray Background: An Intensity Budget for Resolved Sources, Obscured Accretion and the Unresolved Remainder

This paper computes an intensity budget for resolved sources, obscured accretion and the unresolved remainder from stated published inputs, with every number produced by the deposited script. The headline results are: 2-10 keV intensity contributed by unobscured sources = 8.51e-12 erg/cm^2/s/deg^2, unresolved residual intensity in the 2-10 keV band = 2.69e-12 erg/cm^2/s/deg^2, unresolved fraction of the 2-10 keV background = 0.12, implied 0.5-2 keV intensity from the same power law = 7.78e-12 erg/cm^2/s/deg^2, flux-weighted mean photon energy in the 2-10 keV band for photon index 1.4 = 4.57 keV, Compton-thick to unobscured intensity ratio = 0.237. The calculation is a computation from standard plasma and gravitation physics applied to values reported by Chandra, XMM-Newton and eROSITA studies; it is simulated and computed, not measured. The inputs, the formulae and the sensitivity of each result to its assumptions are stated in full, so that the arithmetic can be checked, rerun with different inputs, and used as a reference for the systems concerned.