Direct extraction of QCD ΛMS from moments of structure functions in neutrino–nucleon scattering, using the CORGI approach Original Research Article

We use recently calculated next-to-next-to-leading (NNLO) anomalous dimension coefficients for the n=1,3,5,…,13 moments of the xF3 structure function in νN scattering, together with the corresponding three-loop Wilson coefficients, to obtain improved QCD predictions for the moments. The Complete Renormalization Group Improvement (CORGI) approach is used, in which all dependence on renormalization or factorization scales is avoided by a complete resummation of ultraviolet logarithms. The Bernstein Polynomial method is used to compare these QCD predictions to the xF3 data of the CCFR Collaboration, and direct fits for ΛMS(5), with Nf=5 effective quark flavours, over the range 20