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The Gross--Llewellyn Smith Sum Rule in the Analytic Approach to Perturbative QCD

K. A. Milton·I. L. Solovtsov·O. P. Solovtsova
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Abstract

We apply analytic perturbation theory to the Gross--Llewellyn Smith sum rule. We study the $Q^2$ evolution and the renormalization scheme dependence of the analytic three-loop QCD correction to this sum rule, and demonstrate that the results are practically renormalization scheme independent and lead to rather different $Q^2$ evolution than the standard perturbative correction possesses.

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K. A. Milton, I. L. Solovtsov, O. P. Solovtsova. 1998-09-23. The Gross--Llewellyn Smith Sum Rule in the Analytic Approach to Perturbative QCD. https://doi.org/10.1103/physrevd.60.016001

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