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

High Energy Physics - Phenomenology 2024-08-08 v1 High Energy Physics - Experiment High Energy Physics - Theory

Abstract

We present a benchmark comparison of the massless inclusive deep-inelastic-scattering (DIS) structure functions up to O(αs3)\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.

Keywords

Cite

@article{arxiv.2404.15711,
  title  = {Benchmark of deep-inelastic-scattering structure functions at $\mathcal{O}(\alpha_s^3)$},
  author = {Valerio Bertone and Alexander Karlberg},
  journal= {arXiv preprint arXiv:2404.15711},
  year   = {2024}
}

Comments

21 pages, benchmark code is available at https://github.com/alexanderkarlberg/n3lo-structure-function-benchmarks

R2 v1 2026-06-28T16:04:49.482Z