Parton distribution functions from reduced Ioffe-time distributions

Abstract

We show that the correct way to extract parton distribution functions from the reduced Ioffe-time distribution (RITD), a ratio of the Ioffe-time distribution for a moving hadron and a hadron at rest, is through a factorization formula. This factorization exists because, at small distances, forming the ratio does not change the infrared behavior of the numerator, which is factorizable. We illustrate the effect of such a factorization by applying it to results in the literature.

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• Large-Momentum Effective Theory
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• First direct lattice-QCD calculation of the $x$-dependence of the pion parton distribution function
• Unpolarized and helicity generalized parton distributions of the proton within lattice QCD
• Valence parton distribution of pion from lattice QCD: Approaching continuum
• Moments of Ioffe time parton distribution functions from non-local matrix elements
• A Hybrid Renormalization Scheme for Quasi Light-Front Correlations in Large-Momentum Effective Theory
• One-loop evolution of parton pseudo-distribution functions on the lattice
• Parton Distribution Functions from Ioffe Time Pseudodistributions from Lattice Calculations: Approaching the Physical Point
• Unpolarized isovector quark distribution function from Lattice QCD: A systematic analysis of renormalization and matching
• 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
• Transverse Momentum Dependent Quasi-Parton-Distributions
• Transverse momentum dependent factorization for lattice observables
• Generalized Parton Distributions and Pseudo-Distributions
• Gluon Pseudo-Distributions at Short Distances: Forward Case
• 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
• Generalized quasi parton distributions in a diquark spectator model
• Finite-volume effects due to spatially non-local operators
• Theory and applications of parton pseudodistributions
• 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 $g_T(x)$
• Renormalization of Wilson-line operators in the presence of nonzero quark masses
• Nucleon Gluon Distribution Function from 2+1+1-Flavor Lattice QCD
• Exploring twist-2 GPDs through quasi-distributions in a diquark spectator model
• Euclidean versus Minkowski short distance
• Complementarity of experimental and lattice QCD data on pion parton distributions
• First Glimpse into the Kaon Gluon Parton Distribution Using Lattice QCD
• Probing nucleon strange and charm distributions with 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
• One-Loop Hybrid Renormalization Matching Kernels for Quasi-Parton Distributions
• Non-singlet quark helicity PDFs of the nucleon from pseudo-distributions
• Polarized Gluon Pseudodistributions at Short Distances
• Generalized parton distributions from the pseudo-distribution approach on the lattice
• Renormalon Effects in Quasi Parton Distributions
• Short-Distance Structure of Unpolarized Gluon Pseudodistributions
• Chiral Perturbation for Large Momentum Effective Field Theory
• Mapping Parton Distributions of Hadrons with Lattice QCD
• Large-Momentum Effective Theory's Asymptotic Extrapolation vs the Inverse Problem
• Moments from Momentum Derivatives in Lattice QCD
• The Continuum and Leading Twist Limits of Parton Distribution Functions in Lattice QCD
• Towards High-Precision Parton Distributions From Lattice QCD via Distillation
• One-loop Matching Factors for Singlet Quasi-Parton Distribution Functions in the Hybrid-Ratio Scheme