Generalized Parton Distributions and Pseudo-Distributions

Abstract

We derive one-loop matching relations for the Ioffe-time distributions related to the pion distribution amplitude (DA) and generalized parton distributions (GPDs). They are obtained from a universal expression for the one-loop correction in an operator form, and will be used in the ongoing lattice calculations of the pion DA and GPDs based on the parton pseudo-distributions approach.

9 pages, typos fixed, references added, some changes in text

References in corpus (34)

• Gauge-Invariant Decomposition of Nucleon Spin and Its Spin-Off
• Wave Functions, Evolution Equations and Evolution Kernels from Light-Ray Operators of QCD
• Nonforward Parton Distributions
• Parton Physics on Euclidean Lattice
• Quasi-PDFs, momentum distributions and pseudo-PDFs
• Constraints on large-$x$ parton distributions from new weak boson production and deep-inelastic scattering data
• Double distributions and evolution equations
• Exploring hadrons' partonic structure using ab initio lattice QCD calculations
• Extracting Parton Distribution Functions from Lattice QCD Calculations
• Exclusive processes in position space and the pion distribution amplitude
• 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
• One-Loop Matching for Parton Distributions: Non-Singlet Case
• On the Renormalizability of Quasi Parton Distribution Functions
• Renormalization in Large Momentum Effective Theory of Parton Physics
• Deep-inelastic scattering and the operator product expansion in lattice QCD
• Nonperturbative renormalization of nonlocal quark bilinears for quasi-PDFs on the lattice using an auxiliary field
• Nonperturbative Evolution of Parton Quasi-Distributions
• Ioffe-time distributions instead of parton momentum distributions in description of deep inelastic scattering
• More On Large-Momentum Effective Theory Approach to Parton Physics
• Reconstructing parton distribution functions from Ioffe time data: from Bayesian methods to Neural Networks
• Moments of Ioffe time parton distribution functions from non-local matrix elements
• On the renormalization of quasi parton distribution
• One-loop evolution of parton pseudo-distribution functions on the lattice
• One-loop matching for transversity generalized parton distribution
• Quark Pseudo-Distributions at Short Distances
• Matching Quasi Generalized Parton Distributions in the RI/MOM scheme
• Complete Matching for Quasi-distribution Functions in Large Momentum Effective Theory
• Parton distribution functions from reduced Ioffe-time distributions
• Structure of parton quasi-distributions and their moments
• Parton distributions from lattice data: the nonsinglet case
• On the power divergence in quasi gluon distribution function
• Pion Distribution Amplitude and Quasi-Distributions
• Quasi-PDFs and pseudo-PDFs

Cited by in corpus (37)

• 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
• 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
• Gluon Pseudo-Distributions at Short Distances: Forward Case
• 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
• New insights on proton structure from lattice QCD: the twist-3 parton distribution function $g_T(x)$
• Theory and applications of parton 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
• The role of zero-mode contributions in the matching for the twist-3 PDFs $e(x)$ and $h_L(x)$
• One-loop matching for the twist-3 parton distribution $g_T(x)$
• Parton distribution functions beyond leading twist from lattice QCD: The $h_L(x)$ case
• Towards Unpolarized GPDs from Pseudo-Distributions
• Continuum limit of parton distribution functions from the pseudo-distribution approach on the lattice
• Lattice QCD calculation of the pion distribution amplitude with domain wall fermions at physical pion mass
• Lattice QCD Calculation of $x$-dependent Meson Distribution Amplitudes at Physical Pion Mass with Threshold Logarithm Resummation
• One-Loop Hybrid Renormalization Matching Kernels for Quasi-Parton Distributions
• Polarized Gluon Pseudodistributions at Short Distances
• Generalized parton distributions from the pseudo-distribution approach on the lattice
• Dispersive derivation of the pion distribution amplitude
• Renormalon Effects in Quasi Parton Distributions
• Short-Distance Structure of Unpolarized Gluon Pseudodistributions
• QCD Factorization of Quasi Generalized Quark Distributions
• Chiral Perturbation for Large Momentum Effective Field Theory
• Bayesian-Wilson coefficients in lattice QCD computations of valence PDFs and GPDs
• Resummation for Lattice QCD Calculation of Generalized Parton Distributions at Nonzero Skewness
• Generalized quasi, Ioffe-time, and pseudo quark distributions of the pion in the Nambu--Jona-Lasinio model
• Generalized Parton Distributions from Lattice QCD with Asymmetric Momentum Transfer: Unpolarized Quarks at Nonzero Skewness
• Large-Momentum Effective Theory's Asymptotic Extrapolation vs the Inverse Problem
• 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