NNLO QCD Analysis of CCFR data on $xF_3$ Structure Function and Gross-Llewellyn Smith Sum Rule with Higher Twist and Nuclear Corrections

Abstract

A detailed NNLO QCD analysis of new CCFR data on the $xF_3$ structure function including the target mass, higher twist and nuclear corrections was performed and parametrizations of the perturbative and power terms of the structure function were constructed. The results of QCD analysis of the structure function were used to study the $Q^2-$dependence of the Gross-Llewellyn Smith sum rule. The $\alpha_S/\pi-$expansion of $S_{GLS}(Q^2)$ was studied and parameters of the expansion were found to be $s_1=2.74\pm 0.01$, $s_2=-2.22\pm 0.23$, $s_3=-7.86\pm 1.74$ in a good agreement with the perturbative QCD predictions for the Gross-Llewellyn Smith sum rule in the next-to-leading and next-to-next-to-leading order.