Next-to-next-to-leading order QCD analysis of the CCFR data for xF₃ and F₂ structure functions of the deep-inelastic neutrino-nucleon scattering

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The next-to-next-to-leading order (NNLO) non-singlet QCD analysis of the experimental data of the CCFR collaboration for the xF₃ and F₂ structure functions of the deep-inelastic scattering of neutrinos and antineutrinos on the nucleon by means of the Jacobi polinomial expansion method is made. The target mass corrections are also taken into account. We demonstrate that the NNLO corrections have the important: they are decreasing the difference between the values of αₛ(MZ), extracted from the NLO fit of xF₃ data and from the NLO non-singlet fit of the combined xF₃ and F₂ CCFR data. The obtained NNLO results for αₛ(MZ) are:αₛ(MZ)=0.109 ± 0.003(stat) ± 0.005(syst) ± 0.003 (theor) (from xF₃ data) and αₛ(MZ)=0.111± 0.002 (stat) ± 0.003 (syst) ± 0.003 (theor) (from the combined xF₃ and F₂ data). We also estimate the values of the order O(αₛ²)-corrections to the Gottfried sum rule.