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

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.

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