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Gross–Llewellyn Smith sum rule with an analytic coupling

I. R. Gabdrakhmanov1, N. A Gramotkov1,2, A. V. Kotikov1, O. V. Teryaev1, D. A. Volkova1,3, and I. A. Zemlyakov4,5

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Phys. Rev. D 113, 014041 – Published 30 January, 2026

DOI: https://doi.org/10.1103/sy8x-1b22

Abstract

We investigate the Gross–Llewellyn Smith sum rule within the framework of analytic quantum chromodynamics (QCD). A comparison is performed between experimental data, lattice calculations, and perturbative QCD based on conventional and analytic versions of perturbation theory with different parametrizations for the higher twist contributions. We show that conventional perturbation theory fails to reproduce the data, while the analytic version demonstrates good agreement with experiment and lattice calculations. We also discuss the relation between the Gross–Llewellyn Smith sum rule and the Bjorken sum rule.

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Phys. Rev. D 113, 014041– Published 30 January, 2026
  • Received 29 October 2025
  • Accepted 24 December 2025
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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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