Pion generalized parton distribution from lattice QCD
arXiv:1904.12376 · doi:10.1016/j.nuclphysb.2020.114940
Abstract
We present the first lattice calculation of the valence-quark generalized parton distribution (GPD) of the pion using the large-momentum effective theory (LaMET) approach. We focus on the zero-skewness limit, where the GPD has a probability-density interpretation in the longitudinal Bjorken and the transverse impact-parameter distributions. Our calculation is done using clover valence fermions on an ensemble of gauge configurations with flavors (degenerate up/down, strange and charm) of highly improved staggered quarks (HISQ) with lattice spacing fm, box size fm and pion mass MeV. The parton distribution function and the form factor are reproduced as special limits of the GPD as expected. Due to the large errors, this exploratory study does not show a clear preference among different model assumptions about the kinematic dependence of the GPD. To discriminate between these assumptions, future studies using higher-statistics data will be crucial.
arXiv commentVersion published in Nucl. Phys. B
References in corpus (86)
- Gauge-Invariant Decomposition of Nucleon Spin and Its Spin-Off
- Parton distributions from high-precision collider data
- New parton distribution functions from a global analysis of quantum chromodynamics
- Parton distributions in the LHC era: MMHT 2014 PDFs
- Wave Functions, Evolution Equations and Evolution Kernels from Light-Ray Operators of QCD
- Deeply Virtual Compton Scattering
- Unraveling hadron structure with generalized parton distributions
- The Chroma Software System for Lattice QCD
- Parton Physics on Euclidean Lattice
- Flavor Symmetry and the Static Potential with Hypercubic Blocking
- Impact Parameter Dependent Parton Distributions and Off-Forward Parton Distributions for
- Impact Parameter Space Interpretation for Generalized Parton Distributions
- Highly Improved Staggered Quarks on the Lattice, with Applications to Charm Physics
- A first unbiased global determination of polarized PDFs and their uncertainties
- Physics Opportunities with the 12 GeV Upgrade at Jefferson Lab
- Lattice QCD ensembles with four flavors of highly improved staggered quarks
- Measurement of the Beam-Spin Azimuthal Asymmetry Associated with Deeply-Virtual Compton Scattering
- Generalized parton distributions from nucleon form factor data
- 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
- Femto-Photography of Protons to Nuclei with Deeply Virtual Compton Scattering
- Nucleon Helicity and Transversity Parton Distributions from Lattice QCD
- Flavor Structure of the Nucleon Sea from Lattice QCD
- Moments of Nucleon Generalized Parton Distributions in Lattice QCD
- Measurement of deeply virtual Compton scattering at HERA
- A Lattice Calculation of Parton Distributions
- Factorization Theorem Relating Euclidean and Light-Cone Parton Distributions
- One-Loop Matching for Parton Distributions: Non-Singlet Case
- Measurement of Deeply Virtual Compton Scattering at HERA
- Generalized Parton Distributions from Lattice QCD
- A complete non-perturbative renormalization prescription for quasi-PDFs
- Perturbative Renormalization of quasi-PDFs
- On the Renormalizability of Quasi Parton Distribution Functions
- Renormalization in Large Momentum Effective Theory of Parton Physics
- Pion Distribution Amplitude from Lattice QCD
- Reconstruction of light-cone parton distribution functions from lattice QCD simulations at the physical point
- Hadron structure from lattice quantum chromodynamics
- Nonperturbative renormalization of nonlocal quark bilinears for quasi-PDFs on the lattice using an auxiliary field
- The nucleon axial charge from lattice QCD with controlled errors
- Parton Distribution Function with Non-perturbative Renormalization from Lattice QCD
- Neutron Electric Dipole Moment and Tensor Charges from Lattice QCD
- Transversity parton distribution functions from lattice QCD
- Iso-vector and Iso-scalar Tensor Charges of the Nucleon from Lattice QCD
- Nucleon Charges and Electromagnetic Form Factors from 2+1+1-Flavor Lattice QCD
- Nonperturbative Evolution of Parton Quasi-Distributions
- Updated Lattice Results for Parton Distributions
- Improved quasi parton distribution through Wilson line renormalization
- Axial Vector Form Factors of the Nucleon from Lattice QCD
- Matching the Quasi Parton Distribution in a Momentum Subtraction Scheme
- Soft Factor Subtraction and Transverse Momentum Dependent Parton Distributions on Lattice
- Quark helicity flip generalized parton distributions from two-flavor lattice QCD
- Proton Isovector Helicity Distribution on the Lattice at Physical Pion Mass
- Power corrections and renormalons in parton quasi-distributions
- More On Large-Momentum Effective Theory Approach to Parton Physics
- Cross sections for the exclusive photon electroproduction on the proton and Generalized Parton Distributions
- The pion form factor from lattice QCD with two dynamical flavours
- The E00-110 experiment in Jefferson Lab's Hall A: Deeply Virtual Compton Scattering off the Proton at 6 GeV
- Accessing gluon parton distributions in large momentum effective theory
- Gluon Quasi-PDF From Lattice QCD
- On the renormalization of quasi parton distribution
- Improved Parton Distribution Functions at Physical Pion Mass
- One-loop matching for transversity generalized parton distribution
- Gluon quasidistribution function at one loop
- Quasi parton distributions and the gradient flow
- Pion and kaon valence-quark quasiparton distributions
- Transverse Structure of Nucleon Parton Distributions from Lattice QCD
- Multiplicative renormalizability of quasi-parton operators
- Structure of parton quasi-distributions and their moments
- Note on lattice regularization and equal-time correlators for parton distribution functions
- Generalized quasi parton distributions in a diquark spectator model
- Longitudinal target-spin asymmetries for deeply virtual Compton scattering
- Finite-volume effects due to spatially non-local operators
- Practical quasi parton distribution functions
- Lattice corrections to the quark quasidistribution at one-loop
- Non-dipolar Wilson links for quasi-parton distribution functions
- Partonic quasidistributions in two-dimensional QCD
- Smeared quasidistributions in perturbation theory
- Light-cone distribution amplitudes of vector meson in large momentum effective theory
- Lattice Calculation of Parton Distribution Function from LaMET at Physical Pion Mass with Large Nucleon Momentum
- Renormalization of Wilson-line operators in the presence of nonzero quark masses
- Euclidean versus Minkowski short distance
- Quantifying finite-momentum effects in meson quasi-PDFs
- Quasi-parton distribution functions: two-dimensional scalar and spinor QCD
- Nucleon Transversity Distribution at the Physical Pion Mass from Lattice QCD
- Quasi-Parton Distribution Function in Lattice Perturbation Theory
- Symmetry Properties of Nonlocal Quark Bilinear Operators on a Lattice
Cited by in corpus (66)
- Electron-Ion Collider in China
- Large-Momentum Effective Theory
- Parton distributions and lattice QCD calculations: toward 3D structure
- Insights into the Emergence of Mass from Studies of Pion and Kaon Structure
- Unpolarized and helicity generalized parton distributions of the proton within lattice QCD
- Snowmass 2021 whitepaper: Proton structure at the precision frontier
- Revealing the structure of light pseudoscalar mesons at the Electron-Ion Collider
- A Hybrid Renormalization Scheme for Quasi Light-Front Correlations in Large-Momentum Effective Theory
- Valence-Quark Distribution of the Kaon and Pion from Lattice QCD
- Nucleon Tomography and Generalized Parton Distribution at Physical Pion Mass from Lattice QCD
- The x-dependence of hadronic parton distributions: A review on the progress of lattice QCD
- Pion and Kaon Distribution Amplitudes in the Continuum Limit
- Self-Renormalization of Quasi-Light-Front Correlators on the Lattice
- Generalized Parton Distributions from Lattice QCD with Asymmetric Momentum Transfer: Unpolarized Quarks
- Nucleon Helicity Generalized Parton Distribution at Physical Pion Mass from Lattice QCD
- Flavor non-singlet parton distribution functions from lattice QCD at physical quark masses via the pseudo-distribution approach
- Lattice continuum-limit study of nucleon quasi-PDFs
- Transversity GPDs of the proton from lattice QCD
- Moments of proton GPDs from the OPE of nonlocal quark bilinears up to NNLO
- Improvement, generalization, and scheme conversion of Wilson-line operators on the lattice in the auxiliary field approach
- Pion form factor and charge radius from Lattice QCD at physical point
- Resumming Quark's Longitudinal Momentum Logarithms in LaMET Expansion of Lattice PDFs
- Flavor decomposition for the proton helicity parton distribution functions
- Measures of pion and kaon structure from generalised parton distributions
- Nucleon Gluon Distribution Function from 2+1+1-Flavor Lattice QCD
- Generalized parton distributions and spin structures of light mesons from a light-front Hamiltonian approach
- First Glimpse into the Kaon Gluon Parton Distribution Using Lattice QCD
- Complementarity of experimental and lattice QCD data on pion parton distributions
- Generalised parton distributions from the off-forward Compton amplitude in lattice QCD
- Pion Valence-Quark Generalized Parton Distribution at Physical Pion Mass
- Towards Unpolarized GPDs from Pseudo-Distributions
- Continuum limit of parton distribution functions from the pseudo-distribution approach on the lattice
- Gluon Parton Distribution of the Nucleon from 2+1+1-Flavor Lattice QCD in the Physical-Continuum Limit
- Pion Valence Quark Distribution at Physical Pion mass of Lattice QCD
- Quasi parton distribution function and quasi generalized parton distribution of the pion meson in a spectator model
- One-Loop Hybrid Renormalization Matching Kernels for Quasi-Parton Distributions
- Non-singlet quark helicity PDFs of the nucleon from pseudo-distributions
- Impact of Lattice Strangeness Asymmetry Data in the CTEQ-TEA Global Analysis
- Systematic Improvement of -dependent Unpolarized Nucleon Generalized Parton Distribution in Lattice-QCD Calculation
- Generalized parton distributions from the pseudo-distribution approach on the lattice
- Moments of Axial-Vector GPD from Lattice QCD: Quark Helicity, Orbital Angular Momentum, and Spin-Orbit Correlation
- Three-dimensional Imaging of Pion using Lattice QCD: Generalized Parton Distributions
- String-based parametrization of nucleon GPDs at any skewness: a comparison to lattice QCD
- Tackling the kaon structure function at EicC
- Light Cone Distribution Amplitude for the Baryon from Lattice QCD
- QCD Factorization of Quasi Generalized Quark Distributions
- Regularization dependence of pion generalised parton distributions
- Bayesian-Wilson coefficients in lattice QCD computations of valence PDFs and GPDs
- Transverse and spatial structure of light to heavy pseudoscalar mesons in light-cone quark model
- QCD Factorization of Quasi Generalized Gluon Distributions
- Fixed-target charmonium production and pion parton distributions
- Generalized quasi, Ioffe-time, and pseudo quark distributions of the pion in the Nambu--Jona-Lasinio model
- Resummation for Lattice QCD Calculation of Generalized Parton Distributions at Nonzero Skewness
- Mapping Parton Distributions of Hadrons with Lattice QCD
- Vector-axial vector lattice cross section and valence parton distribution in the pion from a chiral quark model
- Effect of nuclear medium on the spatial distribution of pions
- Understanding the Valence Quark Structure of the Pion through GTMDs
- 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
- The Continuum and Leading Twist Limits of Parton Distribution Functions in Lattice QCD
- Feasibility Study of Pion and Kaon Structure via the Sullivan Process at EicC
- A model-independent framework for determining finite-volume effects of spatially nonlocal operators
- One-loop Matching Factors for Singlet Quasi-Parton Distribution Functions in the Hybrid-Ratio Scheme
- Towards High-Precision Parton Distributions From Lattice QCD via Distillation
- Pion GPDs: A path toward phenomenology
- The transversity parton distribution function of the nucleon using the pseudo-distribution approach