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The Jacobi polynomials QCD analysis of the CCFR data for xF3 and the Q2-dependence of the Gross-Llewellyn Smith sum rule

1994/02/23 by A. L. Kataev, Andrei L. Kataev, Aleksander V. Sidorov · 1 citation
Physics and Astronomy · #Neutrino Physics Research #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #hep-ph

paper · pdf · doi:10.1016/0370-2693(94)90961-x

published as Phys.Lett. B331 (1994) 179-186 · LATEX, 14 pages, 2 Figures can be obtained by FAX after the request, CERN-TH.7160/94 and JINR E2-94-45

arxiv created 1994/02/23 · openalex publication_date 1994/06/01 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

We present the results of our QCD analysis of the recent CCFR data for the structure function xF3 (x,Q2) of the deep-inelastic neutrino--nucleon scattering. The analysis is based on the Jacobi polynomials expansion of the structure functions. The concrete results for the parameter Λ_ MS(4) and the shape of quark distributions are determined. At the reference scale |Q02|=3 GeV2 our results are in satisfactory agreement with the ones obtained by the CCFR group with the help of another method. The Q02-dependence of the experimental data for the Gross--Llewellyn Smith sum rule is extracted in the wide region of high-momentum transfer. Within systematical experimental uncertainties the results obtained are consistent with the perturbative QCD predictions. We reveal the effect of the discrepancy between our results and the analysed perturbative QCD predictions at the level of the statistical error bars. The importance of taking account, in our procedure, of a still unknown next-next-to-leading approximation of the moments of the structure function xF3 (x,Q2) is stressed.

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