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.

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