NNLO QCD contributions to the flavor non-singlet sector of ${\mathbf{F}}_2(\mathbf{x},{\mathbf{Q}}^2)$

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 ${\Lambda }_{QCD}$ and ${\alpha }_s(M_z^2)$ are determined.

29 pages, 8 figures

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