Matching Quasi Generalized Parton Distributions in the RI/MOM scheme
arXiv:1902.00307 · doi:10.1103/PhysRevD.100.034006
Abstract
Within the framework of large momentum effective theory (LaMET), genenaralized parton distributions (GPDs) can be extracted from lattice calculations of quasi-GPDs through a perturbative matching relation, up to power corrections that are suppressed by the hadron momentum. In this paper, we focus on isovector quark GPDs, including the unpolarized, longitudinally and transversely polarized cases, and present the one-loop matching that connects the quasi-GPDs renormalized in a regularization-independent momentum subtraction (RI/MOM) scheme to the GPDs in MS scheme. We find that the matching coefficient is independent of the momentum transfer squared. As a consequence, the matching for the quasi-GPD with zero skewness is the same as that for the quasi-PDF. Our results provide a crucial input for the determination of quark GPDs from lattice QCD using LaMET.
arXiv comment13 pages, 2 figures
References in corpus (84)
- 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
- Generalized Parton Distributions
- Deeply Virtual Compton Scattering
- Unraveling hadron structure with generalized parton distributions
- Parton Physics on Euclidean Lattice
- A General Method for Non-Perturbative Renormalization of Lattice Operators
- A first unbiased global determination of polarized PDFs and their uncertainties
- The Uses of Conformal Symmetry in QCD
- Physics Opportunities with the 12 GeV Upgrade at Jefferson Lab
- Measurement of the Beam-Spin Azimuthal Asymmetry Associated with Deeply-Virtual Compton Scattering
- Nucleon Generalized Parton Distributions from Full Lattice QCD
- Relations between generalized and transverse momentum dependent parton distributions
- 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
- 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
- Exclusive processes in position space and the pion distribution amplitude
- 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
- 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
- Transversity parton distribution functions from lattice QCD
- Nonperturbative Evolution of Parton Quasi-Distributions
- Updated Lattice Results for Parton Distributions
- Improved quasi parton distribution through Wilson line renormalization
- Determining the Nonperturbative Collins-Soper Kernel 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
- Accessing gluon parton distributions in large momentum effective theory
- The E00-110 experiment in Jefferson Lab's Hall A: Deeply Virtual Compton Scattering off the Proton at 6 GeV
- On the renormalization of quasi parton distribution
- Gluon Quasi-PDF From Lattice QCD
- Beam-helicity and beam-charge asymmetries associated with deeply virtual Compton scattering on the unpolarised proton
- 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 Momentum Dependent Quasi-Parton-Distributions
- Measurement of double-spin asymmetries associated with deeply virtual Compton scattering on a transversely polarized hydrogen target
- Moments of nucleon generalized 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
- Longitudinal target-spin asymmetries for deeply virtual Compton scattering
- Generalized quasi parton distributions in a diquark spectator model
- Finite-volume effects due to spatially non-local operators
- Lattice corrections to the quark quasidistribution at one-loop
- On the power divergence in quasi gluon distribution function
- Non-dipolar Wilson links for quasi-parton distribution functions
- One-loop renormalization of staple-shaped operators in continuum and lattice regularizations
- Partonic quasidistributions in two-dimensional QCD
- Smeared quasidistributions in perturbation theory
- Light-cone distribution amplitudes of vector meson in large momentum effective theory
- Solving the Bars-Green equation for moving mesons in two-dimensional QCD
- Renormalization of Wilson-line operators in the presence of nonzero quark masses
- Renormalon approach to higher-twist distribution amplitudes and the convergence of the conformal expansion
- Matching the Quasi Meson Distribution Amplitude in RI/MOM scheme
- Gaussian-weighted Parton Quasi-distribution
- Euclidean versus Minkowski short distance
- Where do we stand with a 3-D picture of the proton?
- Quantifying finite-momentum effects in meson quasi-PDFs
- Quasi-parton distribution functions: two-dimensional scalar and spinor QCD
- Moments of nucleon spin-dependent generalized parton distributions
- Discovery potential for a charged Higgs boson decaying in the chargino-neutralino channel of the ATLAS detector at the LHC
Cited by in corpus (44)
- Large-Momentum Effective Theory
- Parton distributions and lattice QCD calculations: toward 3D structure
- Unpolarized and helicity generalized parton distributions of the proton within lattice QCD
- Snowmass 2021 whitepaper: Proton structure at the precision frontier
- Precision Studies of QCD in the Low Energy Domain of the EIC
- Nucleon Tomography and Generalized Parton Distribution at Physical Pion Mass from Lattice QCD
- Pion and Kaon Distribution Amplitudes in the Continuum Limit
- The x-dependence of hadronic parton distributions: A review on the progress of lattice QCD
- Complete Matching for Quasi-distribution Functions in Large Momentum Effective Theory
- Generalized Parton Distributions from Lattice QCD with Asymmetric Momentum Transfer: Unpolarized Quarks
- 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
- Transversity GPDs of the proton from lattice QCD
- Moments of proton GPDs from the OPE of nonlocal quark bilinears up to NNLO
- Pion form factor and charge radius from Lattice QCD at physical point
- The role of zero-mode contributions in the matching for the twist-3 PDFs and
- One-loop matching for the twist-3 parton distribution
- Exploring twist-2 GPDs through quasi-distributions in a diquark spectator model
- Light-cone distribution amplitudes of a light baryon in large-momentum effective theory
- 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
- 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
- Systematic Improvement of -dependent Unpolarized Nucleon Generalized Parton Distribution in Lattice-QCD Calculation
- Polarized Gluon Pseudodistributions at Short Distances
- Generalized parton distributions from the pseudo-distribution approach on the lattice
- Three-dimensional Imaging of Pion using Lattice QCD: Generalized Parton Distributions
- Renormalon Effects in Quasi Parton Distributions
- Short-Distance Structure of Unpolarized Gluon Pseudodistributions
- Matching the B-meson quasidistribution amplitude in the RI/MOM scheme
- 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
- QCD Factorization of Quasi Generalized Gluon 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
- Parton distribution function for topological charge at one loop
- 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 structure of parton distribution for the gluon condensate and "zero modes"
- One-loop Matching Factors for Singlet Quasi-Parton Distribution Functions in the Hybrid-Ratio Scheme