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

The results of LO {\it Fixed point} QCD (FP-QCD) analysis of the CCFR data for the nucleon structure function ~xF_3(x,Q^2)~ are presented. The predictions of FP-QCD, in which the Callan-Symanzik ~\beta~ function admits a {\it second order} ultraviolet zero at ~\alpha = \alpha_0~ are in good agreement with the data. Constraints for the possible values of the ~\beta~ function parameter ~b~ regulating how fast ~\alpha_ s(Q^2)~ tends to its asymptotic value ~\alpha_{0}\ne 0~ are found from the data. The corresponding values of ~\alpha_{0}~ are also determined. Having in mind our recent " First order fixed point" QCD fit to the same data we conclude that in spite of the high precision and the large ~(x,Q^2)~ kinematic range of the CCFR data they cannot discriminate between QCD and FP-QCD predictions for ~xF_3(x,Q^2)~