Benchmark of deep-inelastic-scattering structure functions at $\mathcal{O}(\alpha_s^3)$

TL;DR

This paper benchmarks the calculation of deep-inelastic scattering structure functions at third order in perturbative QCD, comparing two computational codes across a broad kinematic range to ensure accuracy for parton distribution function extraction.

Contribution

It provides a detailed comparison of two state-of-the-art codes for calculating DIS structure functions at (_s^3), including look-up tables and code release for future reference.

Findings

Consistent results between APFEL++ and HOPPET within the studied kinematic range.

Validated the accuracy of third-order perturbative calculations for DIS structure functions.

Provided resources for future analyses in parton distribution function extraction.

Abstract

We present a benchmark comparison of the massless inclusive deep-inelastic-scattering (DIS) structure functions up to $\mathcal{O}(\alpha_s^3)$ in perturbative QCD. The comparison is performed using the codes APFEL++ and HOPPET within the framework of the variable-flavour-number scheme and over a broad kinematic range relevant to the extraction of parton distribution functions. We provide results for both the single structure functions and the reduced cross sections in both neutral- and charged-current DIS. Look-up tables for future reference are included, and we also release the code used for the benchmark.