An analysis of polarized parton distribution functions with nonlinear QCD evolution equations

Abstract

We present the polarized parton distribution functions from a QCD analysis of the worldwide polarized deep inelastic scattering data, based on the dynamical parton distribution model. All the sea quarks and gluons are dynamically generated from QCD radiations, with the nonperturbative input contains only the polarized valence quark distributions. This approach leads to a simple parametrization, which has only four free parameters. In the analysis, we apply the DGLAP equations with parton-parton recombination corrections. The parameterized nonperturbative input at an extremely low $Q_0^2$ reproduces well the spin-dependent structure functions measured at high $Q^2$. Comparisons with experimental observations and some other polarized parton distribution functions are also shown. Our results are in good agreement with the experimental data and consistent with some other parameterized models. Furthermore, our analysis gives the positive polarized gluon distribution and it suggests that the gluon distribution plays an important role to the proton spin content. The polarized antiquark distributions are non-zero at high $Q^2$ but quite small compared to polarized valence quark distribution, based on this dynamical parton model analysis. This analysis shows smaller statistical uncertainties for the polarized sea quark and gluon distributions, thanks to the fewer free parameters used for the parametrization of the initial polarized PDFs.

arXiv comment13 pages, 15 figures

References in corpus (52)

• The Three-Loop Splitting Functions in QCD: The Non-Singlet Case
• The Three-Loop Splitting Functions in QCD: The Singlet Case
• Models for the Polarized Parton Distributions of the Nucleon
• Electron-Ion Collider in China
• Measurements of the Proton and Deuteron Spin Structure Functions g1 and g2
• Uncertainties of predictions from parton distribution functions II: the Hessian method
• Extraction of Spin-Dependent Parton Densities and Their Uncertainties
• Uncertainties of predictions from parton distributions. I: experimental errors
• Precise determination of the spin structure function ${\mathbf{g}}_1$ of the proton, deuteron and neutron
• A first unbiased global determination of polarized PDFs and their uncertainties
• Precision Determination of the Neutron Spin Structure Function g1n
• Measurement of the Neutron Spin Structure Function $g_1^n$ with a Polarized ^3He Target
• Deep Inelastic Scattering of Polarized Electrons by Polarized ${}^3$He and the Study of the Neutron Spin Structure
• Next-to-Leading Order Radiative Parton Model Analysis of Polarized Deep Inelastic Scattering
• QCD Analysis of Polarized Deep Inelastic Data and Parton Distributions
• Polarized Parton Distributions in the Nucleon
• Measurement of the Proton Spin Structure Function g1p with a Pure Hydrogen Target
• Generalized Parton Distributions in the valence region from Deeply Virtual Compton Scattering
• A percent-level determination of the nucleon axial coupling from Quantum Chromodynamics
• Dynamical NNLO parton distributions
• Precision Measurement of the Neutron Spin Asymmetries and Spin-dependent Structure Functions in the Valence Quark Region
• The Spin-dependent Structure Function of the Proton g_1^p and a Test of the Bjorken Sum Rule
• QCD Analysis of the Polarized World Data
• Process-independent strong running coupling
• Science Requirements and Detector Concepts for the Electron-Ion Collider: EIC Yellow Report
• QCD Analysis of Polarized Deep Inelastic Scattering Data
• Nucleon form factors, generalized parton distributions and quark angular momentum
• Measurement of the Spin Structure of the Deuteron in the DIS Region
• A statistical approach for polarized parton distributions
• The Spin Structure Function $g_1^{\mathrm{p}}$ of the Proton and a Test of the Bjorken Sum Rule
• Determination of polarized parton distribution functions and their uncertainties
• Sea quark and gluon polarization in the nucleon at NLO accuracy
• Longitudinal Polarized Parton Densities Updated
• Effective charge from lattice QCD
• Selected Science Opportunities for the EicC
• A New Evaluation of Polarized Parton Densities in the Nucleon
• Determination of polarized parton distribution functions with recent data on polarization asymmetries
• The statistical parton distributions: status and prospects
• A new approach to parton recombination in a QCD evolution equation
• A new modified Altarelli-Parisi evolution equation with parton recombination in proton
• Variable Flavor Number Parton Distributions and Weak Gauge and Higgs Boson Production at Hadron Colliders at NNLO of QCD
• Determination of the Proton Spin Structure Functions for 0.05 < Q^2 < 5 GeV^2 using CLAS
• Process-independent effective coupling. From QCD Green's functions to phenomenology
• Final COMPASS results on the deuteron spin-dependent structure function $g_1^{\mathrm{d}}$ and the Bjorken sum rule
• Radiative Parton Model Analysis of Polarized Deep Inelastic Lepton Nucleon Scattering
• Q^2-Dependence of the Neutron Spin Structure Function g_2^n at Low Q^2
• A New Study of the Polarized Parton Densities in the Nucleon
• Polarized Deeply Inelastic Scattering (DIS) Structure Functions for Nucleons and Nuclei
• Dynamical parton distributions from DGLAP equations with nonlinear corrections
• Dynamical Parton Distributions for alpha_{S} Determinations
• Polarised parton distributions
• Parton recombination effect in polarized parton distributions

Cited by in corpus (3)

• Polarised parton distribution functions and proton spin
• Recent data analysis to revisit the spin structure function of nucleon in Laplace space
• QCD analysis of valence structure functions using deep inelastic lepton-nucleon scattering