Determination of ${\alpha }_s$ from Gross-Llewellyn Smith sum rule by accounting for infrared renormalon

Abstract

We recapitulate the method which resums the truncated perturbation series of a physical observable in a way which takes into account the structure of the leading infrared renormalon. We apply the method to the Gross-Llewellyn Smith (GLS) sum rule. By confronting the obtained result with the experimentally extracted GLS value, we determine the value of the QCD coupling parameter which turns out to agree with the present world average.

invited talk by G.C. in WG3 of NuFact02, July 1-6, 2002, London; 4 pages, revtex

References in corpus (5)

• Analytic continuation and perturbative expansions in QCD
• Gauge fixing, families index theory, and topological features of the space of lattice gauge fields
• Extraction of alpha_s from the Gross--Llewellyn Smith sum rule using Borel resummation
• Estimating higher order perturbative coefficients using Borel transform
• Renormalization scheme dependence in the case of a QCD non-power perturbative expansion