Extraction of alpha_s from the Gross--Llewellyn Smith sum rule using Borel resummation

Details Extraction of alpha_s from the Gross--Llewellyn Smith sum rule using Borel resummation Extraction of alpha_s from the Gross--Llewellyn Smith sum rule using Borel resummation

2002-03-21

arxiv.org/abs/hep-ph/0203201v2

Phys.Rev. D66 (2002) 054006

Physics

High Energy Physics

High Energy Physics - Phenomenology

22 pages, version to appear in Phys. Rev. D

Scientific paper

10.1103/PhysRevD.66.054006

Using the CCFR data for the Gross--Llewellyn Smith (GLS) sum rule, we extract the strong coupling constant via Borel resummation of the perturbative QCD calculation. The method incorporates the correct nature of the first infrared renormalon singularity, and employs a conformal mapping to improve the convergence of the QCD perturbation expansion. The important twist-four contribution is calculated from resummation of the perturbation theory, which is based on the ansatz that the higher--twist contribution has a cut singularity only along the positive real axis on the complex coupling plane. Thus obtained, the strong coupling constant corresponding to the central GLS experimental value is in good agreement with the world average.

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