Corrected Table for the Parametric Coefficients for the Optical Depth of the Universe to Gamma-rays at Various Redshifts

TL;DR

This paper provides corrected tables of parametric coefficients for the optical depth of the universe to gamma-rays across various redshifts, improving the accuracy of gamma-ray attenuation models.

Contribution

It supplies corrected parameter values for the optical depth model, addressing previous errors and enhancing the reliability of gamma-ray propagation calculations.

Findings

Corrected coefficients for optical depth at multiple redshifts.

Parametric approximation valid for optical depths 0.01 to 100.

Accurate up to ~2 TeV for all redshifts and ~10 TeV for z<1.

Abstract

Table 1 in our paper, ApJ 648, 774 (2006) entitled "Intergalactic Photon Spectra from the Far IR to the UV Lyman Limit for 0 < z < 6 and the Optical Depth of the Universe to High Energy Gamma-Rays" had erroneous numbers for the coefficients fitting the parametric form for the optical depth of the universe to gamma-rays. The correct values for these parameters as described in the original text are given here in a corrected table for various redshifts for the baseline model (upper row) and fast evolution (lower row) for each individual redshift. The parametric approximation is good for optical depths between 0.01 and 100 and for gamma-ray energies up to ~2 TeV for all redshifts but also for energies up to ~10 TeV for redshifts less than 1.