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

Abstract

The next-to-next-to-leading order (NNLO) QCD analysis of the revised experimental data of the CCFR collaboration for the $xF_3$ 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 Pad\'e approximants. We observe that the [0/2] Pad\'e approximant is more appropriate for this purpose than the [1/1] one.