Mapping Parton Distributions of Hadrons with Lattice QCD

Abstract

The strong force which binds hadrons is described by the theory of quantum chromodynamics (QCD). Determining the character and manifestations of QCD is one of the most important and challenging outstanding issues necessary for a comprehensive understanding of the structure of hadrons. Within the context of the QCD parton picture, the parton distribution functions (PDFs) have been remarkably successful in describing a wide variety of processes. However, these PDFs have generally been confined to the description of collinear partons within the hadron. New experiments and facilities provide the opportunity to additionally explore the three-dimensional structure of hadrons, which can be described by generalized parton distributions (GPDs), for example. In recent years, a breakthrough was made in calculating the Bjorken-$x$ dependence of PDFs in lattice QCD by using large-momentum effective theory (LaMET) and other similar frameworks. The breakthrough has led to the emergence and rapid development of direct calculations of Bjorken-$x$--dependent structure. In this review article, we show some of the recent progress made in lattice QCD in PDFs and GPDs and discuss future challenges.

34 pages, 19 figures; invited review article for Progress in Particle and Nuclear Physics

References in corpus (38)

• Implications of CTEQ global analysis for collider observables
• Extraction of Spin-Dependent Parton Densities and Their Uncertainties
• A first unbiased global determination of polarized PDFs and their uncertainties
• Determination of the Charged Pion Form Factor at Q2=1.60 and 2.45 (GeV/c)2
• Charged pion form factor between Q^2=0.60 and 2.45 GeV^2. II. Determination of, and results for, the pion form factor
• Exploring hadrons' partonic structure using ab initio lattice QCD calculations
• Soft-Gluon Resummation and the Valence Parton Distribution Function of the Pion
• Exclusive processes in position space and the pion distribution amplitude
• A complete non-perturbative renormalization prescription for quasi-PDFs
• On the Renormalizability of Quasi Parton Distribution Functions
• Pion Valence Quark Distribution from Matrix Element Calculated in Lattice QCD
• Charged pion form factor between $Q^2$=0.60 and 2.45 GeV${}^2$. I. Measurements of the cross section for the ${}^1$H($e,e^{\prime }{\pi }^{+}$)$n$ reaction
• Parton Distributions in Nucleons and Nuclei
• Improved quasi parton distribution through Wilson line renormalization
• From deep inelastic scattering to heavy-flavor semi-leptonic decays: Total rates into multi-hadron final states from lattice QCD
• New limits on intrinsic charm in the nucleon from global analysis of parton distributions
• Reconstructing parton distribution functions from Ioffe time data: from Bayesian methods to Neural Networks
• More On Large-Momentum Effective Theory Approach to Parton Physics
• Systematic uncertainties in parton distribution functions from lattice QCD simulations at the physical point
• Nucleon electromagnetic form factors from lattice QCD using a nearly physical pion mass
• Scaling study of the pion electroproduction cross sections and the pion form factor
• Nucleon axial and pseudoscalar form factors from lattice QCD at the physical point
• Lattice QCD Determination of the Bjorken-$x$ Dependence of Parton Distribution Functions at Next-to-next-to-leading Order
• Nucleon Helicity Generalized Parton Distribution at Physical Pion Mass from Lattice QCD
• Note on lattice regularization and equal-time correlators for parton distribution functions
• A Feynman-Hellmann approach to the spin structure of hadrons
• Generalized parton distributions through universal moment parameterization: zero skewness case
• Strange sea determination from collider data
• Generalized parton distributions through universal moment parameterization: non-zero skewness case
• Solving the Bars-Green equation for moving mesons in two-dimensional QCD
• On "dual" parametrizations of generalized parton distributions
• Towards the determination of the gluon helicity distribution in the nucleon from lattice quantum chromodynamics
• Testing momentum dependence of the nonperturbative hadron structure in a global QCD analysis
• Pion Valence-Quark Generalized Parton Distribution at Physical Pion Mass
• Gluon distributions and their applications to Ioffe-time distributions
• Pion Valence Quark Distribution at Physical Pion mass of $N_f=2+1+1$ Lattice QCD
• The case for an EIC Theory Alliance: Theoretical Challenges of the EIC
• Benchmarks for a Global Extraction of Information from Deeply Virtual Exclusive Scattering