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

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

1998-09-23

arxiv.org/abs/hep-ph/9809513v1

Phys.Rev. D60 (1999) 016001

Physics

High Energy Physics

High Energy Physics - Phenomenology

17 pages, 9 eps figures, REVTeX

Scientific paper

10.1103/PhysRevD.60.016001

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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