Improved fits to the xF3 CCFR data at the next-to-next-to-leading order and beyond

The analysis of the data on the xF3 structural function of the vN deep inelastic scattering, obtained on the tevatron by the CCFR collaboration, is presented. Special attention is paid to accounting for the QCD higher-order perturbative effects and nonperturbative contributions, originating beyond the frames of the perturbations theory. Using the results of the tree-loop corrections to the anomalous dimensionalities of the Mellin odd xF3 moments and the higher order N3L0 corrections to their coefficient functions the previous analyses, devoted to the CCFR data processing for the xF3, are detailed. The possibility of extracting the 1/Q2 order corrections is considered within the frames of three independent models. The theoretical peculiarities of the applicability of the renormal-type approach for evaluating the higher-order corrections of the perturbation theory to the coefficient functions of the odd xF3 moments and the F2 nonsinglet structural function are considered. The comparison with the results of the Pade (1/1) diagonal approximants method is carried out. The obtained tree-loop value of the αs(MZ) connection constant is in good agreement with its average world value αs(MZ) ≅ 0.118. The extraction of the αs(MZ) value in the four-loop approximation is carried out for the first time. The correlation between the higher-order correlations of the perturbation theory and contributions of the exponential members, suppressed by the 1/Q2 is demonstrated. The results of the αs(MZ) analysis are compared with analogous results of other works, wherein the approximated three-loop nucleus of the D6LAP equation and the Bernstein polynomial method were applied