The NLO DGLAP extraction of $\alpha_{s}$ and higher twist terms from CCFR $xF_{3}$ and $F_{2}$ structure functions data for $\nu N$ DIS

We performed the detailed NLO analysis of the combined CCFR $xF_3$ and $F_2$ structure functions data and extracted the value of $\alpha_s$, parameters of ditributions and higher-twist (HT) terms using the direct solution of the DGLAP equation. The value of $\alpha_s(M_Z)=0.1222\pm 0.0048 (exp)\pm 0.0040(theor)$ was obtained. The result has larger central value and errors, than the original result of the CCFR collaboration, in view of the incorporation into the fits of the HT terms as the free model independent parameters. Despite the large experimental errors, the $x$-shape of the HT contributions for the $xF_3$ and $F_2$ SFs are in agreement with the results of other model-independent extractions and are in qualitative agreement with the predictions of the infrared renormalon model. We also argue that the low $x$ CCFR data might have the defects, since their inclusion into the fits is leading to the following low $x$-behaviour of the gluon distribution $xG(x,9 GeV^2) \sim x^{0.092\pm 0.0073}$, in contradiction with the results of its extraction from low $x$ HERA data.