Constraints on “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 FP-QCD, in which αs(Q2) tends to a nonzero coupling constant α0 as Q2 → ∞, are in good agreement with the data. Constraints for the possible values of the β function parameter b regulating how fast αs(Q2) tends to its asymptotic value α0 are found from the data. The corresponding values of α0 are also determined. Having in mind the recent QCD fits to the same data we conclude that in spite of the high precision and the large (x, Q2) kinematic range of the CCFR data they cannot discriminate between QCD and FP-QCD predictions for xF3(x, Q2).