Recent data analysis to revisit the spin structure function of nucleon in Laplace space

Abstract

Considering a fixed-flavor number scheme and based on laplace transdormation, we perform a leading-order and next-to-leading-order QCD analysis which are including world data on polarized structure functions $g_1$ and $g_2$. During our analysis, taking the DGLAP evolution, we employ the Jacobi polynomials expansion technique. In our recent analysis we utilize the recent available data and consequently include more data than what we did in our previous analysis. we obtain good agreements between our results for the polarized parton densities and nucleon structure functions with all available experimental data and some common parametrization models.

arXiv comment16 pages,11 figures, 5 tables

References in corpus (59)

• Models for the Polarized Parton Distributions of the Nucleon
• Measurements of the Proton and Deuteron Spin Structure Functions g1 and g2
• Extraction of Spin-Dependent Parton Densities and Their Uncertainties
• Uncertainties of predictions from parton distribution functions II: the Hessian method
• 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
• Evidence for polarization of gluons in the proton
• Measurement of the Neutron Spin Structure Function $g_1^n$ with a Polarized ^3He Target
• The Deuteron Spin-dependent Structure Function g1d and its First Moment
• Deep Inelastic Scattering of Polarized Electrons by Polarized ${}^3$He and the Study of the Neutron Spin Structure
• Measurements of the $Q^2$-Dependence of the Proton and Neutron Spin Structure Functions g1p and g1n
• Spin Structure of the Proton from Polarized Inclusive Deep-Inelastic Muon-Proton Scattering
• QCD Analysis of Polarized Deep Inelastic Data and Parton Distributions
• Measurement of the Proton Spin Structure Function g1p with a Pure Hydrogen Target
• Adler Function, Bjorken Sum Rule, and the Crewther Relation to Order alpha_s^4 in a General Gauge Theory
• Measurement of the Deuteron Spin Structure Function g_1^d(x) for 1 (GeV/c)^2 < Q^2 < 40 (GeV/c)^2
• 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
• Precision Measurement of the Proton and Deuteron Spin Structure Functions g2 and Asymmetries A2
• Polarized Parton Distribution Functions in the Nucleon
• QCD Analysis of the Polarized World Data
• QCD Analysis of Polarized Deep Inelastic Scattering Data
• Iterative Monte Carlo analysis of spin-dependent parton distributions
• PDF reweighting in the Hessian matrix approach
• Measurement of the Spin Structure of the Deuteron in the DIS Region
• Measurement of the $x$- and $Q^2$-Dependence of the Asymmetry $A_1$ on the Nucleon
• Target Mass Corrections for Polarized Structure Functions and New Sum Rules
• The Spin Structure Function $g_1^{\mathrm{p}}$ of the Proton and a Test of the Bjorken Sum Rule
• The Spin Structure of the Nucleon
• On the Twist 2 and Twist 3 Contributions to the Spin-dependent Electroweak Structure Functions
• Higher twists and ${\alpha }_s(M_Z)$ extractions from the NNLO QCD analysis of the CCFR data for $x{F}_3$ structure function
• Next-to-next-to-leading order QCD analysis of the revised CCFR data for xF_3 structure function and the higher twist contributions
• Longitudinal Polarized Parton Densities Updated
• Determination of gluon polarization from deep inelastic scattering and collider data
• Target mass effects in polarized deep-inelastic scattering
• The Complete $O({\alpha }_s^2)$ Non-Singlet Heavy Flavor Corrections to the Structure Functions $g_{1,2}^{ep}(x,Q^2)$, $F_{1,2,L}^{ep}(x,Q^2)$, $F_{1,2,3}^{\nu (\bar{\nu })}(x,Q^2)$ and the Associated Sum Rules
• Impact of hadronic and nuclear corrections on global analysis of spin-dependent parton distributions
• Determination of the Proton Spin Structure Functions for 0.05 < Q^2 < 5 GeV^2 using CLAS
• Final COMPASS results on the deuteron spin-dependent structure function $g_1^{\mathrm{d}}$ and the Bjorken sum rule
• Investigation of the Second Moment of the Nucleon's g1 and g2 Structure Functions in Two-Flavor Lattice QCD
• Analytic derivation of the next-to-leading order proton structure function $F_2^p(x,Q^2)$ based on the Laplace transformation
• Measurement of the virtual-photon asymmetry A2 and the spin-structure function g2 of the proton
• Q^2-Dependence of the Neutron Spin Structure Function g_2^n at Low Q^2
• Next-to-next-to-leading order QCD analysis of spin-dependent parton distribution functions and their uncertainties: Jacobi polynomials approach
• Polarized structure function $g_2$ in the CM bag model
• Nucleon spin structure functions at NNLO in the presence of target mass corrections and higher twist effects
• Measurements of $d_2^n$ and $A_1^n$: Probing the neutron spin structure
• QCD analysis of nucleon structure functions in deep-inelastic neutrino-nucleon scattering: Laplace transform and Jacobi polynomials approach
• Nonsinglet parton distribution functions from the precise next-to-next-to-next-to leading order QCD fit
• Polarized Deeply Inelastic Scattering (DIS) Structure Functions for Nucleons and Nuclei
• A new numerical method for obtaining gluon distribution functions $G(x,Q^2)=xg(x,Q^2)$, from the proton structure function $F_2^{\gamma p}(x,Q^2)$
• Probing Quark-Gluon Interactions with Transverse Polarized Scattering
• Decoupling the NLO coupled DGLAP evolution equations: an analytic solution to pQCD
• Study of spin-dependent structure functions of ${}^3\mathrm{He}$ and ${}^3\mathrm{H}$ at NNLO approximation and corresponding nuclear corrections
• Addendum to: "A new numerical method for obtaining gluon distribution functions $G(x,Q^2)=xg(x,Q^2)$, from the proton structure function $F_2^{\gamma p}(x,Q^2)$."
• Fixation of theoretical ambiguities in the improved fits to $x{F}_3$ CCFR data at the next-to-next-to-leading order and beyond
• Moments of the neutron $g_2$ structure function at intermediate $Q^2$
• An analysis of polarized parton distribution functions with nonlinear QCD evolution equations

Cited by in corpus (3)

• AAK24: Global QCD analysis on polarized parton distribution in the presence of $A_2$ asymmetry measurements
• QCD analysis of $x{F}_3$ structure functions in deep-inelastic scattering: Mellin transform by Gegenbauer polynomial up to N${}^3$LO approximation
• QCD analysis of valence structure functions using deep inelastic lepton-nucleon scattering