Nonsinglet parton distribution functions from the precise next-to-next-to-next-to leading order QCD fit

Abstract

We present the results of our QCD analysis for non-singlet unpolarized quark distributions and structure function $F_2(x,Q^2)$ up to N${}^3$LO. In this regards 4-loop anomalous dimension can be obtain from the Padé approximations. The analysis is based on the Jacobi polynomials expansion of the structure function. New parameterizations are derived for the non-singlet quark distributions for the kinematic wide range of $x$ and $Q^2$. Our calculations for non-singlet unpolarized quark distribution functions up to N${}^3$LO are in good agreement with available theoretical models. The higher twist contributions of $F_2^{p,d}(x,Q^2)$ are extracted in the large $x$ region in N${}^3$LO analysis. The values of ${\Lambda }_{QCD}$ and ${\alpha }_s(M_z^2)$ are determined.

arXiv comment30 pages, 5 figures and 4 tables

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• Structure Functions
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• Next-to-next-to-leading order QCD analysis of spin-dependent parton distribution functions and their uncertainties: Jacobi polynomials approach
• Nucleon spin structure functions at NNLO in the presence of target mass corrections and higher twist effects
• QCD analysis of nucleon structure functions in deep-inelastic neutrino-nucleon scattering: Laplace transform and Jacobi polynomials approach
• Polarized Deeply Inelastic Scattering (DIS) Structure Functions for Nucleons and Nuclei
• QCD coupling constant at NNLO from DIS data
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• Non-perturbative momentum dependence of the coupling constant and hadronic models
• Impact of recent COMPASS data on polarized parton distributions and structure functions
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• Nucleon spin structure functions, considering target mass correction and higher twist effects at the NNLO accuracy and their transverse momentum dependence