Gross–Llevellyn Smith sum rule: higher twist terms contribution

Four-loop QCD analysis of the Gross–Llewellyn Smith sum rule was performed. The extraction of the twist-4 term from the experimental data and comparison with the corresponding results obtained from the Bjorken sum rules was made. It is shown that within the error the value of the twist-4 term in the Gross–Llewellyn Smith sum rule differs from the corresponding value extracted from the Bjorken sum rule.