Next-to-next-to-leading order QCD contributions to the flavor nonsinglet sector ofF2(x,Q2)

Abstract

We present the results of our QCD analysis for nonsinglet unpolarized quark distributions and structure function ${F}_{2}(x,{Q}^{2})$. New parameterizations are derived for the nonsinglet quark distributions for the kinematic wide range of $x$ and ${Q}^{2}$. The analysis is based on the Jacobi polynomials expansion of the structure function. The higher twist contributions of proton and deuteron structure function are obtained in the large $x$ region. Our calculations for nonsinglet unpolarized quark distribution functions based on the Jacobi polynomials method are in good agreement with the other theoretical models. The values of ${\ensuremath{\Lambda}}_{\mathrm{QCD}}$ and ${\ensuremath{\alpha}}_{s}({M}_{z}^{2})$ are determined.