Abstract
We use recently calculated next-to-next-to-leading (NNLO) anomalous dimension coefficients for the n=1,3,5,…,13 moments of the xF 3 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 xF 3 data of the CCFR Collaboration, and direct fits for Λ MS (5) , with N f =5 effective quark flavours, over the range 20< Q 2<125.9 GeV 2, were performed. We obtain Λ MS (5)=202 +54 −45 MeV, corresponding to the three-loop running coupling α s ( M Z )=0.1174 +0.0043 −0.0043. Including target mass corrections as well we obtain Λ MS (5)=228 +35 −36 MeV, corresponding to α s ( M Z )=0.1196 +0.0027 −0.0031.
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