Gaussian-weighted Parton Quasi-distribution
arXiv:1711.07858 · doi:10.1007/s11433-018-9375-1
Abstract
We propose a revised definition of quasi-distributions within the framework of large-momentum effective theory (LaMET) that improves convergence towards the large-momentum limit. Since the definition of quasi-distributions is not unique, each choice goes along with a specific matching function, we can use this freedom to optimize convergence towards the large-momentum limit. As an illustration, we study quasi-distributions with a Gaussian weighting factor that naturally suppresses long-range correlations, which are plagued by artifacts. This choice has the advantage that the matching functions can be trivially obtained from the known ones. We apply the Gaussian weighting to the previously published results for the nonperturbatively renormalized unpolarized quark distribution, and find that the unphysical oscillatory behavior is significantly reduced.
arXiv comment9 pages, 3 figures, version published in SCPMA
References in corpus (26)
- Parton Physics on Euclidean Lattice
- Quasi-PDFs, momentum distributions and pseudo-PDFs
- Constraints on large- parton distributions from new weak boson production and deep-inelastic scattering data
- Exploring hadrons' partonic structure using ab initio lattice QCD calculations
- Nucleon Helicity and Transversity Parton Distributions from Lattice QCD
- Flavor Structure of the Nucleon Sea from Lattice QCD
- Exclusive processes in position space and the pion distribution amplitude
- A Lattice Calculation of Parton Distributions
- One-Loop Matching for Parton Distributions: Non-Singlet Case
- Origin of Difference between and Partons in the Nucleon
- 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
- Pion Distribution Amplitude from Lattice QCD
- Nonperturbative renormalization of nonlocal quark bilinears for quasi-PDFs on the lattice using an auxiliary field
- Parton Distribution Function with Non-perturbative Renormalization from Lattice QCD
- Updated Lattice Results for Parton Distributions
- Improved quasi parton distribution through Wilson line renormalization
- Matching the Quasi Parton Distribution in a Momentum Subtraction Scheme
- More On Large-Momentum Effective Theory Approach to Parton Physics
- Improved Parton Distribution Functions at Physical Pion Mass
- Quasi parton distributions and the gradient flow
- Pion distribution amplitude from Euclidean correlation functions
- Restoration of Rotational Symmetry in the Continuum Limit of Lattice Field Theories
- Lattice calculation of hadronic tensor of the nucleon
- Computation of parton distributions from the quasi-PDF approach at the physical point
Cited by in corpus (28)
- Universality of Generalized Parton Distributions in Light-Front Holographic QCD
- Nonperturbative renormalization of nonlocal quark bilinears for quasi-PDFs on the lattice using an auxiliary field
- First direct lattice-QCD calculation of the -dependence of the pion parton distribution function
- Valence parton distribution function of pion from fine lattice
- Collins-Soper Kernel for TMD Evolution from Lattice QCD
- Quantum Simulation of Quantum Field Theory in the Light-Front Formulation
- A Hybrid Renormalization Scheme for Quasi Light-Front Correlations in Large-Momentum Effective Theory
- Towards Quasi-Transverse Momentum Dependent PDFs Computable on the Lattice
- 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
- Pion and Kaon Distribution Amplitudes in the Continuum Limit
- Matching Quasi Generalized Parton Distributions in the RI/MOM scheme
- Complete Matching for Quasi-distribution Functions in Large Momentum Effective Theory
- Extraction of Next-to-Next-to-Leading-Order PDFs from Lattice QCD Calculations
- Partonic collinear structure by quantum computing
- Lattice continuum-limit study of nucleon quasi-PDFs
- Improvement, generalization, and scheme conversion of Wilson-line operators on the lattice in the auxiliary field approach
- Renormalization and Matching for the Collins-Soper Kernel from Lattice QCD
- Pion and Kaon parton distributions in the QCD instanton vacuum
- Nucleon Gluon Distribution Function from 2+1+1-Flavor Lattice QCD
- Machine-Learning Prediction for Quasi-PDF Matrix Elements
- Master Integrals for two-loop QCD corrections to Quasi PDFs
- One-Loop Hybrid Renormalization Matching Kernels for Quasi-Parton Distributions
- Non-singlet quark helicity PDFs of the nucleon from pseudo-distributions
- Chiral Perturbation for Large Momentum Effective Field Theory
- Large-Momentum Effective Theory's Asymptotic Extrapolation vs the Inverse Problem
- The Continuum and Leading Twist Limits of Parton Distribution Functions in Lattice QCD
- One-loop Matching Factors for Singlet Quasi-Parton Distribution Functions in the Hybrid-Ratio Scheme