QCD effects to Bjorken unpolarized sum rule for $\nu N$ deep-inelastic scattering

Abstract

The possibility of the first measurement of Bjorken unpolarized sum rule for $F_1$ structure function of $\nu N$ deep-inelastic scattering at Neutrino Factories is commented. The brief summary of various theoretical contributions to this sum rule is given. Using the next-to-leading set of parton distributions functions, we simulate the expected $Q^2$-behavior and emphasize that its measurement can allow to determine the value of the QCD strong coupling constant ${\alpha }_s$ with reasonable theoretical uncertainty, dominated by the ambiguity in the existing estimates of the twist-4 non-perturbative $1/Q^2$-effect.

3 pages, presented at 4th NuFact'02 Workshop (Neutrino Factories based on Muon Storage Rings), London, England, 1-6 July 2002

References in corpus (1)

• Bjorken unpolarized and polarized sum rules: comparative analysis of large-N_F expansions

Cited by in corpus (4)

• Renormalons at the boundaries between perturbative and non-perturbative QCD
• Infrared renormalons and the relations between the Gross-Llewellyn Smith and the Bjorken polarized and unpolarized sum rules
• The relations between Bjorken polarized, Bjorken unpolarized and Gross--Llewellyn Smith sum rules
• Summary of Working Group 3 of the Neutrino Factory '02 Workshop