Gross–Llewellyn Smith sum rule with an analytic coupling

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.