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Single-valued representation of unpolarized and polarized semi-inclusive deep inelastic scattering at next-to-next-to-leading order

Juliane Haug* and Fabian Wunder†

  • *Contact author: juliane-clara-celine.haug@uni-tuebingen.de
  • †Contact author: fabian.wunder@uni-tuebingen.de
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Phys. Rev. D 112, 114036 – Published 23 December, 2025

DOI: https://doi.org/10.1103/s8wt-hsxx

Abstract

We revisit the recently published analytic results for unpolarized and polarized semi-inclusive deep inelastic scattering (SIDIS) at next-to-next-to-leading order (NNLO) in quantum chromodynamics (QCD). These expressions for the hard scattering coefficients contain case distinctions in the kinematic (x,z)-plane, splitting the analytic result into four regions. By reexpressing the coefficient functions in terms of single-valued polylogarithms, we remove these case distinctions and can present a unified result valid across the entire kinematic range of SIDIS. This reduces the length of the overall expressions by 30% to 60%.

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Phys. Rev. D 112, 114036– Published 23 December, 2025
  • Received 28 May 2025
  • Accepted 24 October 2025
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