QCD analysis of nucleon structure functions in deep-inelastic neutrino-nucleon scattering: Laplace transform and Jacobi polynomials approach

Abstract

We present a detailed QCD analysis of nucleon structure functions $x{F}_3(x,Q^2)$, based on Laplace transforms and Jacobi polynomials approach. The analysis corresponds to the next-to-leading order and next-to-next-to-leading order approximation of perturbative QCD. The Laplace transform technique, as an exact analytical solution, is used for the solution of nonsinglet Dokshitzer-Gribov-Lipatov-Altarelli-Parisi evolution equations at low- and large-$x$ values. The extracted results are used as input to obtain the $x$ and Q${}^2$ evolution of $x{F}_3(x,Q^2)$ structure functions using the Jacobi polynomials approach. In our work, the values of the typical QCD scale ${\Lambda }_{\overline{\mathrm{MS}}}^{(n_f)}$ and the strong coupling constant ${\alpha }_s(M_Z^2)$ are determined for four quark flavors ($n_f=4$) as well. A careful estimation of the uncertainties shall be performed using the Hessian method for the valence-quark distributions, originating from the experimental errors. We compare our valence-quark parton distribution functions sets with those of other collaborations; in particular with the {\tt BBG}, {\tt CT14}, {\tt MMHT14} and {\tt NNPDF} sets, which are contemporary with the present analysis. The obtained results from the analysis are in good agreement with those from the literature.

14 Pages, 8 Figures, 4 Tables

References in corpus (7)

• Parton distributions for the LHC
• Big-Bang Nucleosynthesis
• Parton distributions in the LHC era: MMHT 2014 PDFs
• QCDNUM: Fast QCD Evolution and Convolution
• Strong-Coupling Constant with Flavor Thresholds at Five Loops in the MS-bar Scheme
• Evolution of singlet structure functions from DGLAP equation at next-to-next-to-leading order at small-x
• Additional Corrections to the Gross-Llewellyn Smith Sum Rule

Cited by in corpus (9)

• Study of spin-dependent structure functions of ${}^3\mathrm{He}$ and ${}^3\mathrm{H}$ at NNLO approximation and corresponding nuclear corrections
• Analytical solutions of the QCD$\otimes$QED DGLAP evolution equations based on the Mellin transform technique in NLO approximation
• QCD analysis of structure functions in deep inelastic neutrino-nucleon scattering without using the orthogonal polynomials approach
• Improved determination of $\bar{d}(x)-\bar{u}(x)$ flavor asymmetry in the proton by BONuS experiment at JLAB and using an approach by Brodsky, Hoyer, Peterson, and Sakai
• Parton distribution functions with QED corrections in the valon model
• Recent data analysis to revisit the spin structure function of nucleon in Laplace space
• Global analysis on determination of fracture functions considering sea quark asymmetries in the nucleon
• Improved determination of strange distribution function from the global analysis using BHPS model
• Nucleon spin structure functions, considering target mass correction and higher twist effects at the NNLO accuracy and their transverse momentum dependence