The Gross--Llewellyn Smith Sum Rule: Theory vs Experiment

Abstract

We describe the results of our recent work on the determination of the value of the parameter $\Lambda_{\overline{MS}}^{(4)}$ and of the $Q^2$-dependence of the Gross--Llewellyn Smith (GLS) sum rule from the experimental data of the CCFR collaboration on neutrino--nucleon deep-inelastic scattering, using the Jacobi polynomials QCD analysis. The obtained results are compared with the information, available in the literature, information on the previous experimental measurements of the GLS sum rule.