# Erratum: A Comprehensive Approach to Tau-Lepton Production by High-Energy Tau Neutrinos Propagating Through Earth [Phys. Rev. D 97, 023021 (2018), arXiv:1707.00334]

## TL;DR

This paper reports a correction to a computational code used for simulating tau-lepton production by high-energy tau neutrinos passing through Earth, addressing a density tracking error that affected previous results.

## Contribution

The authors identify and fix a coding error in the NuTauSim simulation tool that impacted the accuracy of tau neutrino propagation modeling.

## Key findings

- The corrected code provides more accurate density tracking during particle propagation.
- Previous results underestimated densities in Earth's inner layers due to the error.
- Updated simulations improve the reliability of tau neutrino interaction predictions.

## Abstract

We report an error found during independent review of the NuTauSim publicly available code \url{https://github.com/harmscho/NuTauSim} that forms the basis of this publication. The error in the code was in tracking the density of the medium during particle propagation. After the first interaction, the code was referencing the depth of penetration back to the surface of the Earth rather than the location of the last interaction. The results were obtained using densities that were systematically underestimated when the particle was traversing the inner layers of the Earth by assigning the density of either ice or bedrock, depending on the particle energy or ice thickness of the simulation. This error was fixed and the repository updated on September 29, 2018.