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

Abstract

The next-to-next-to-leading order (NNLO) non-singlet QCD analysis of the experimental data of the CCFR collaboration for the xF 3 and F 2 structure functions of the deep-inelastis scattering of neutrinos and antineutrinos on the nucleon by means of the Jacobi polynomial expansion method is made. We demonstrate that the NNLO corrections have the important physical effects. The obtained NNLO results for α s ( M Z ) are: α s ( M Z ) = 0.109±0.003(stat)±0.005(syst)±0.003(theor) (from xF 3 data) and α s ( M Z ) = 0.111±0.002(stat)±0.003(syst)±0.003(theor) (from the combined xF 3 and F 2 data). We also estimate the values of the order O( α s 2)-corrections to the Gottfried sum rule.