The QCD analysis of the revised CCFR data for xF_3 structure function: the next-to-next-to-leading order and Padé approximants

Abstract

The next-to-next-to-leading order (NNLO) QCD analysis of the revised experimental data of the CCFR collaboration for the $x{F}_3$ structure function of the deep-inelastic scattering of neutrinos and antinuetrinos on the nucleons is made by means of the Jacobi polynomial expansion technique. The NNLO values of the QCD coupling constant are determined both without and with twist--4 contributions taken into account. Theoretical ambiguities of ${\alpha }_s$ are fixed using the methods of the Padé approximants. We observe that the [0/2] Padé approximant is more appropriate for this purpose than the [1/1] one.

5 pages, LaTeX, espcrc2, contribution to QCD-97, Montpellier, France, July 1997, to appear in the proceedings; some minor misprints are corrected

References in corpus (2)

• The four-loop beta-function in Quantum Chromodynamics
• Strong Coupling Constant with Flavour Thresholds at Four Loops in the MS-bar Scheme

Cited by in corpus (8)

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• QCD analysis of structure functions in deep inelastic neutrino-nucleon scattering without using the orthogonal polynomials approach
• Large Yukawa coupling corrections to scalar quark pair production in $e^{+}{e}^{-}$ annihilation
• QCD analysis of $x{F}_3$ structure functions in deep-inelastic scattering: Mellin transform by Gegenbauer polynomial up to N${}^3$LO approximation
• Q^2 evolution of parton distributions at small x
• QCD analysis of valence structure functions using deep inelastic lepton-nucleon scattering