Constraints on 'second-order fixed point' QCD from the CCFR data on deep inelastic neutrino-nucleon scattering

The results of LO fixed point QCD (FP-QCD) analysis of the CCFR data for the nucleon structure function xF3(x,Q2) are presented. The predictions of FR-QCD, in which the Callan-Symanzik β-function admits a second order ultraviolet zero at α=α0 are in good agreement with the data. Constraints on possible values of the β-function parameter b regulating how fast αs(Q2) tends to its asymptotic value α0≠0 are found from the data. The corresponding values of α0 are also determined. Having in mind our recent 'first-order fixed point' QCD fit to the same data we conclude that in spite of a high precision and a large (x,Q2) kinematic range of the CCFR data they cannot discriminate between QCD and FP-QCD predictions for xF3 (x,Q2). 14 refs., 1 tab