NNLO QCD$\otimes$QED corrections to unpolarized and polarized SIDIS

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Main Authors: Goyal, Saurav, Lee, Roman N., Moch, Sven-Olaf, Pathak, Vaibhav, Ravindran, V.
Format: Preprint
Published: 2025
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author Goyal, Saurav
Lee, Roman N.
Moch, Sven-Olaf
Pathak, Vaibhav
Ravindran, V.
author_facet Goyal, Saurav
Lee, Roman N.
Moch, Sven-Olaf
Pathak, Vaibhav
Ravindran, V.
contents We present the first computation of next-to-next-to-leading order (NNLO) pure QED and mixed QCD$\otimes$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$\otimes$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.
format Preprint
id arxiv_https___arxiv_org_abs_2510_18872
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle NNLO QCD$\otimes$QED corrections to unpolarized and polarized SIDIS
Goyal, Saurav
Lee, Roman N.
Moch, Sven-Olaf
Pathak, Vaibhav
Ravindran, V.
High Energy Physics - Phenomenology
High Energy Physics - Theory
We present the first computation of next-to-next-to-leading order (NNLO) pure QED and mixed QCD$\otimes$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$\otimes$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.
title NNLO QCD$\otimes$QED corrections to unpolarized and polarized SIDIS
topic High Energy Physics - Phenomenology
High Energy Physics - Theory
url https://arxiv.org/abs/2510.18872