X-Ray Luminosity as a Star Formation Tracer: The High-Mass Binary Calibration and Its Stochastic Floor

This paper computes the high-mass binary calibration and its stochastic floor from stated published inputs, with every number produced by the deposited script. The headline results are: high-mass binary luminosity at star formation rate 10 = 2.60e+40 erg/s, hot-gas luminosity at star formation rate 10 = 8.30e+39 erg/s, hot-gas share of the total 0.5-8 keV luminosity at star formation rate 10 = 0.242, Poisson probability of no source above 1e38 erg/s at star formation rate 0.1 = 0.741, fractional Poisson scatter of the bright-source count at star formation rate 1 = 0.577, total 0.5-8 keV luminosity at star formation rate 10 = 3.43e+40 erg/s. 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.