Confronting lattice parton distributions with global QCD analysis

Abstract

We present the first Monte Carlo based global QCD analysis of spin-averaged and spin-dependent parton distribution functions (PDFs) that includes nucleon isovector matrix elements in coordinate space from lattice QCD. We investigate the degree of universality of the extracted PDFs when the lattice and experimental data are treated under the same conditions within the Bayesian likelihood analysis. For the unpolarized sector, we find rather weak constraints from the current lattice data on the phenomenological PDFs, and difficulties in describing the lattice matrix elements at large spatial distances. In contrast, for the polarized PDFs we find good agreement between experiment and lattice data, with the latter providing significant constraints on the spin-dependent isovector quark and antiquark distributions.

arXiv comment23 pages, 4 figures

References in corpus (42)

• Parton distributions from high-precision collider data
• Parton Physics on Euclidean Lattice
• Parton Distribution Functions, ${\alpha }_s$ and Heavy-Quark Masses for LHC Run II
• Improved Measurement of the $\bar{d}/\bar{u}$ Asymmetry in the Nucleon Sea
• Measurements of the Proton and Deuteron Spin Structure Functions g1 and g2
• Measurement of the proton and deuteron structure functions, F2p and F2d, and of the ratio sigma(L)/sigma(T)
• Precise determination of the spin structure function ${\mathbf{g}}_1$ of the proton, deuteron and neutron
• Precision Determination of the Neutron Spin Structure Function g1n
• Constraints on large-$x$ parton distributions from new weak boson production and deep-inelastic scattering data
• Measurement of the Neutron Spin Structure Function $g_1^n$ with a Polarized ^3He Target
• Measurement of the Light Antiquark Flavor Asymmetry in the Nucleon Sea
• 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
• Exploring hadrons' partonic structure using ab initio lattice QCD calculations
• First simultaneous extraction of spin-dependent parton distributions and fragmentation functions from a global QCD analysis
• Nucleon Helicity and Transversity Parton Distributions from Lattice QCD
• Extracting Parton Distribution Functions from Lattice QCD Calculations
• Measurement of the Deuteron Spin Structure Function g_1^d(x) for 1 (GeV/c)^2 < Q^2 < 40 (GeV/c)^2
• A guide to light-cone PDFs from Lattice QCD: an overview of approaches, techniques and results
• Factorization Theorem Relating Euclidean and Light-Cone Parton Distributions
• A complete non-perturbative renormalization prescription for quasi-PDFs
• 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
• Perturbative Renormalization of quasi-PDFs
• On the Renormalizability of Quasi Parton Distribution Functions
• Renormalization in Large Momentum Effective Theory of Parton Physics
• Reconstruction of light-cone parton distribution functions from lattice QCD simulations at the physical point
• Iterative Monte Carlo analysis of spin-dependent parton distributions
• Parton Distribution Function with Non-perturbative Renormalization from Lattice QCD
• Accurate Measurement of F2d/F2p and Rd-Rp
• The Spin Structure Function $g_1^{\mathrm{p}}$ of the Proton and a Test of the Bjorken Sum Rule
• Measurement of the Proton and Deuteron Spin Structure Functions g2 and Asymmetry A2
• Power corrections and renormalons in parton quasi-distributions
• Reconstructing parton distribution functions from Ioffe time data: from Bayesian methods to Neural Networks
• Strange quark suppression from a simultaneous Monte Carlo analysis of parton distributions and fragmentation functions
• Systematic uncertainties in parton distribution functions from lattice QCD simulations at the physical point
• Parton momentum and helicity distributions in the nucleon
• Parton distributions from lattice data: the nonsinglet case
• Measurement of the virtual-photon asymmetry A2 and the spin-structure function g2 of the proton
• Measurement of the longitudinal spin asymmetries for weak boson production in proton-proton collisions at $\sqrt{s}$ = 510 GeV
• Charting the coming synergy between lattice QCD and high-energy phenomenology

Cited by in corpus (39)

• Machine Learning in Nuclear Physics
• Large-Momentum Effective Theory
• 50 Years of Quantum Chromodynamics
• Insights into the Emergence of Mass from Studies of Pion and Kaon Structure
• Revealing the structure of light pseudoscalar mesons at the Electron-Ion Collider
• Precision Studies of QCD in the Low Energy Domain of the EIC
• The x-dependence of hadronic parton distributions: A review on the progress of lattice QCD
• Generalized Parton Distributions from Lattice QCD with Asymmetric Momentum Transfer: Unpolarized Quarks
• Extraction of Next-to-Next-to-Leading-Order PDFs from Lattice QCD Calculations
• Continuum-extrapolated NNLO Valence PDF of Pion at the Physical Point
• Flavor non-singlet parton distribution functions from lattice QCD at physical quark masses via the pseudo-distribution approach
• Transversity GPDs of the proton from lattice QCD
• Lattice continuum-limit study of nucleon quasi-PDFs
• Neural-network analysis of Parton Distribution Functions from Ioffe-time pseudodistributions
• Flavor decomposition of the nucleon unpolarized, helicity and transversity parton distribution functions from lattice QCD simulations
• Flavor decomposition for the proton helicity parton distribution functions
• Towards the determination of the gluon helicity distribution in the nucleon from lattice quantum chromodynamics
• Complementarity of experimental and lattice QCD data on pion parton distributions
• Parton distribution functions beyond leading twist from lattice QCD: The $h_L(x)$ case
• Tomography of pions and protons via transverse momentum dependent distributions
• Machine learning-based jet and event classification at the Electron-Ion Collider with applications to hadron structure and spin physics
• Gluon distributions and their applications to Ioffe-time distributions
• Continuum limit of parton distribution functions from the pseudo-distribution approach on the lattice
• Overview of lattice calculations of the $x$-dependence of PDFs, GPDs and TMDs
• Resonant contributions to inclusive nucleon structure functions from exclusive meson electroproduction data
• Non-singlet quark helicity PDFs of the nucleon from pseudo-distributions
• Generalized parton distributions from the pseudo-distribution approach on the lattice
• Theoretical tools for neutrino scattering: interplay between lattice QCD, EFTs, nuclear physics, phenomenology, and neutrino event generators
• Gluon PDF from Quark dressing in the Nucleon and Pion
• Bayesian-Wilson coefficients in lattice QCD computations of valence PDFs and GPDs
• Valence Quark PDFs of the Proton from Two-Current Correlations in Lattice QCD
• Global QCD Analysis of Pion Parton Distributions with Threshold Resummation
• Large-Momentum Effective Theory's Asymptotic Extrapolation vs the Inverse Problem
• Generalized Parton Distributions from Lattice QCD with Asymmetric Momentum Transfer: Unpolarized Quarks at Nonzero Skewness
• Helicity-dependent distribution of strange quarks in the proton from nonlocal chiral effective theory
• A Unified Neural-Network Framework for Nucleon Imaging from Numerical Simulations of QCD
• The Continuum and Leading Twist Limits of Parton Distribution Functions in Lattice QCD
• Towards High-Precision Parton Distributions From Lattice QCD via Distillation
• The transversity parton distribution function of the nucleon using the pseudo-distribution approach