NNLO QCD contributions to the flavor non-singlet sector of ${\bf {F_2(x,Q^2)}}$

TL;DR

This paper presents a QCD analysis of the nonsinglet unpolarized quark distributions and the structure function F2(x,Q^2), deriving new parameterizations over a wide kinematic range using Jacobi polynomials.

Contribution

It introduces a novel parameterization method for nonsinglet quark distributions using Jacobi polynomials and includes higher twist effects in the analysis.

Findings

Good agreement with other theoretical models

Determined values of Lambda_QCD and alpha_s(Mz^2)

Provided new parameterizations over a wide x and Q^2 range

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.