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Next-to-next-to-leading order QCD⊗QED corrections to unpolarized and polarized semi-inclusive deep-inelastic scattering structure functions

Saurav Goyal1,2,*, Roman N. Lee3,†, Sven-Olaf Moch4,‡, Vaibhav Pathak1,2,§, and V. Ravindran1,2,∥

  • *Contact author: sauravg@imsc.res.in
  • †Contact author: r.n.lee@inp.nsk.su
  • ‡Contact author: sven-olaf.moch@desy.de
  • §Contact author: vaibhavp@imsc.res.in
  • ∥Contact author: ravindra@imsc.res.in
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Phys. Rev. D 114, 054008 – Published 8 September, 2026

DOI: https://doi.org/10.1103/d9b5-cgwg

Abstract

We present the first computation of next-to-next-to-leading order (NNLO) pure QED and mixed QCD⊗QED corrections to unpolarized and polarized semi-inclusive deep-inelastic scattering (SIDIS). Building on our previous NNLO QCD results, these corrections are crucial for improving the theoretical precision. The coefficient functions are derived within the QCD factorization framework using dimensional regularization, with consistent renormalization and mass factorization. A detailed phenomenological analysis shows that the NNLO QED and QCD⊗QED terms enhance perturbative stability and reduce scale uncertainties. These results are essential for high-precision SIDIS predictions at future facilities such as the Electron-Ion Collider.

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Phys. Rev. D 114, 054008– Published 8 September, 2026
  • Received 21 November 2025
  • Accepted 22 July 2026
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Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Funded by SCOAP3.

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