Gross-Llewellyn Smith sum rule with analytic coupling
High Energy Physics - Phenomenology
2025-10-28 v1
Abstract
We investigate the Gross-Llewellyn Smith sum rule within the framework of analytic 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 twist-four contribution. 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.
Cite
@article{arxiv.2510.23025,
title = {Gross-Llewellyn Smith sum rule with analytic coupling},
author = {I. R. Gabdrakhmanov and N. A Gramotkov and A. V. Kotikov and O. V. Teryaev and D. A. Volkova and I. A. Zemlyakov},
journal= {arXiv preprint arXiv:2510.23025},
year = {2025}
}
Comments
17 pages, 7 figures