A Hybrid Renormalization Scheme for Quasi Light-Front Correlations in Large-Momentum Effective Theory

Abstract

In large-momentum effective theory (LaMET), calculating parton physics starts from calculating coordinate-space-$z$ correlation functions $\tilde{h}(z,a,P^z)$ in a hadron of momentum $P^z$ in lattice QCD. Such correlation functions involve both linear and logarithmic divergences in lattice spacing $a$, and thus need to be properly renormalized. We introduce a hybrid renormalization procedure to match these lattice correlations to those in the continuum $\overline{\mathrm{MS}}$ scheme, without introducing extra non-perturbative effects at large $z$. We analyze the effect of $\mathcal{O}({\Lambda }_{\mathrm{QCD}})$ ambiguity in the Wilson line self-energy subtraction involved in this hybrid scheme. To obtain the momentum-space distributions, we recommend to extrapolate the lattice data to the asymptotic $z$-region using the generic properties of the coordinate space correlations at moderate and large $P^z$, respectively.

Text revised, version to appear in NPB

References in corpus (94)

• An effective field theory for collinear and soft gluons: heavy to light decays
• Quantum Chromodynamics and Other Field Theories on the Light Cone
• Soft-Collinear Factorization in Effective Field Theory
• On the Viability of Lattice Perturbation Theory
• Invariant Operators in Collinear Effective Theory
• Parton Physics on Euclidean Lattice
• Renormalons
• QCD forces and heavy quark bound states
• Quasi-PDFs, momentum distributions and pseudo-PDFs
• Lattice QCD ensembles with four flavors of highly improved staggered quarks
• Light hadrons with improved staggered quarks: approaching the continuum limit
• A quark mass definition adequate for threshold problems
• Large-Momentum Effective Theory
• Exploring hadrons' partonic structure using ab initio lattice QCD calculations
• Three-loop static potential
• Nucleon Helicity and Transversity Parton Distributions from Lattice QCD
• The Structure of the Proton in the LHC Precision Era
• Flavor Structure of the Nucleon Sea from Lattice QCD
• Extracting Parton Distribution Functions from Lattice QCD Calculations
• Exclusive processes in position space and the pion distribution amplitude
• A Lattice Calculation of Parton Distributions
• 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
• A complete non-perturbative renormalization prescription for quasi-PDFs
• Perturbative Renormalization of quasi-PDFs
• On the Renormalizability of Quasi Parton Distribution Functions
• Deep-inelastic scattering and the operator product expansion in lattice QCD
• 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
• Pion Valence Quark Distribution from Matrix Element Calculated in 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
• Pion Valence Structure from Ioffe Time Pseudo-Distributions
• Transversity parton distribution functions from lattice QCD
• Updated Lattice Results for Parton Distributions
• First direct lattice-QCD calculation of the $x$-dependence of the pion parton distribution function
• Improved quasi parton distribution through Wilson line renormalization
• Valence parton distribution function of pion from fine lattice
• Collins-Soper Kernel for TMD Evolution from Lattice QCD
• Matching the Quasi Parton Distribution in a Momentum Subtraction Scheme
• Pion distribution amplitude from Euclidean correlation functions: Exploring universality and higher-twist effects
• Quarkonia and the Pole Mass
• Valence parton distribution of pion from lattice QCD: Approaching continuum
• Proton Isovector Helicity Distribution on the Lattice at Physical Pion Mass
• Power corrections and renormalons in parton quasi-distributions
• Lattice-QCD Calculations of TMD Soft Function Through Large-Momentum Effective Theory
• More On Large-Momentum Effective Theory Approach to Parton Physics
• Moments of Ioffe time parton distribution functions from non-local matrix elements
• Determination of alpha_s from the QCD static energy
• Determination of alpha_s from the QCD static energy: an update
• Pion valence quark distribution from current-current correlation in lattice QCD
• Pion generalized parton distribution from lattice QCD
• The Perturbative Pole Mass in QCD
• Improved Parton Distribution Functions at Physical Pion Mass
• Parton Distribution Functions from Ioffe Time Pseudodistributions from Lattice Calculations: Approaching the Physical Point
• The asymptotic behaviour of parton distributions at small and large $x$
• Testing perturbation theory on the nf=0 static quark potential
• The Polyakov Loop and its Relation to Static Quark Potentials and Free Energies
• Unpolarized isovector quark distribution function from Lattice QCD: A systematic analysis of renormalization and matching
• Quasi parton distributions and the gradient flow
• Pion and Kaon Distribution Amplitudes in the Continuum Limit
• Quark Pseudo-Distributions at Short Distances
• Pion distribution amplitude from Euclidean correlation functions
• Perturbative expansion of the energy of static sources at large orders in four-dimensional SU(3) gauge theory
• Compelling evidence of renormalons in QCD from high order perturbative expansions
• Isovector parton distribution functions of the proton on a superfine lattice
• Complete Matching for Quasi-distribution Functions in Large Momentum Effective Theory
• Nonperturbative renormalization of staple-shaped Wilson line operators in lattice QCD
• Determination of the QCD coupling from the static energy and the free energy
• Extraction of Next-to-Next-to-Leading-Order PDFs from Lattice QCD Calculations
• Non-perturbative formulation of the static color octet potential
• Parton distribution functions from reduced Ioffe-time distributions
• Are there short distance non-perturbative contributions to the QCD static potential?
• Parton distribution functions of ${\Delta }^{+}$ on the lattice
• On the non-perturbative gluon mass and heavy quark physics
• New insights on proton structure from lattice QCD: the twist-3 parton distribution function $g_T(x)$
• Next-to-next-to-leading order corrections to quark Quasi parton distribution functions
• Practical quasi parton distribution functions
• Calculation and Interpretation of Hadron Correlation Functions in Lattice QCD
• Improvement, generalization, and scheme conversion of Wilson-line operators on the lattice in the auxiliary field approach
• Lattice Calculation of Parton Distribution Function from LaMET at Physical Pion Mass with Large Nucleon Momentum
• Gaussian-weighted Parton Quasi-distribution
• The Frame-Independent Spatial Coordinate $\tilde{z}$: Implications for Light-Front Wave Functions, Deep Inelastic Scattering, Light-Front Holography, and Lattice QCD Calculations
• Small- and large-x nucleon spin structure from a global QCD analysis of polarized Parton Distribution Functions
• Nucleon Transversity Distribution at the Physical Pion Mass from Lattice QCD
• Parton distribution functions from lattice QCD using Bayes-Gauss-Fourier transforms
• The Two-Loop Static Potential
• Kaon Distribution Amplitude from Lattice QCD and the Flavor SU(3) Symmetry
• Pion valence quark PDF from lattice QCD
• Moments of pion distribution amplitude using operator product expansion on the lattice
• Matching Perturbative and Non-Perturbative Physics With Power Accuracy in Heavy-Quark Effective Theory
• UV divergence of the quasi-PDF operator under the lattice regularization

Cited by in corpus (59)

• Large-Momentum Effective Theory
• Pion and Kaon Distribution Amplitudes from Lattice QCD
• Nonperturbative Determination of Collins-Soper Kernel from Quasi Transverse-Momentum Dependent Wave Functions
• Nucleon Tomography and Generalized Parton Distribution at Physical Pion Mass from Lattice QCD
• Generalized Parton Distributions from Lattice QCD with Asymmetric Momentum Transfer: Unpolarized Quarks
• Lattice QCD Determination of the Bjorken-$x$ Dependence of Parton Distribution Functions at Next-to-next-to-leading Order
• Continuum-extrapolated NNLO Valence PDF of Pion at the Physical Point
• 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
• Distribution Amplitudes of $K^{\ast }$ and $\varphi$ at Physical Pion Mass from Lattice QCD
• Lattice continuum-limit study of nucleon quasi-PDFs
• Origin and Resummation of Threshold Logarithms in the Lattice QCD Calculations of PDFs
• Next-to-next-to-leading order corrections to quark Quasi parton distribution functions
• Lattice Calculation of the Intrinsic Soft Function and the Collins-Soper Kernel
• Leading Power Accuracy in Lattice Calculations of Parton Distributions
• Flavor decomposition for the proton helicity parton distribution functions
• Unpolarized proton PDF at NNLO from lattice QCD with physical quark masses
• Precision Control in Lattice Calculation of $x$-dependent Pion Distribution Amplitude
• Renormalization of transverse-momentum-dependent parton distribution on the lattice
• Threshold resummation for computing large-$x$ parton distribution through large-momentum effective theory
• Light-cone distribution amplitudes of a light baryon in large-momentum effective theory
• Pion Valence-Quark Generalized Parton Distribution at Physical Pion Mass
• Gluon distributions and their applications to Ioffe-time distributions
• Overview of lattice calculations of the $x$-dependence of PDFs, GPDs and TMDs
• Pion Valence Quark Distribution at Physical Pion mass of $N_f=2+1+1$ Lattice QCD
• Lattice QCD calculation of the pion distribution amplitude with domain wall fermions at physical pion mass
• One-Loop Hybrid Renormalization Matching Kernels for Quasi-Parton Distributions
• Lattice QCD Calculation of $x$-dependent Meson Distribution Amplitudes at Physical Pion Mass with Threshold Logarithm Resummation
• Renormalization and Mixing of Staple-Shaped Wilson Line Operators on the Lattice Revisited
• Lightcone and quasi distribution amplitudes for light octet and decuplet baryons
• Impact of Lattice Strangeness Asymmetry Data in the CTEQ-TEA Global Analysis
• Non-singlet quark helicity PDFs of the nucleon from pseudo-distributions
• Systematic Improvement of $x$-dependent Unpolarized Nucleon Generalized Parton Distribution in Lattice-QCD Calculation
• Lattice results for the longitudinal spin structure and color forces on quarks in a nucleon
• Generalized parton distributions from the pseudo-distribution approach on the lattice
• Theoretical tools for neutrino scattering: interplay between lattice QCD, EFTs, nuclear physics, phenomenology, and neutrino event generators
• Nucleon Helicity Parton Distribution Function in the Continuum Limit with Self-Renormalization
• Nonperturbative renormalization of asymmetric staple-shaped operators in twisted mass lattice QCD
• Towards studying the structural differences between the pion and its radial excitation
• Three-dimensional Imaging of Pion using Lattice QCD: Generalized Parton Distributions
• Power corrections to quasi-distribution amplitudes of a heavy meson
• Light Cone Distribution Amplitude for the $\Lambda$ Baryon from Lattice QCD
• Inverse moment of the $B$-meson quasi distribution amplitude
• Matching the B-meson quasidistribution amplitude in the RI/MOM scheme
• 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
• Improved renormalization scheme for nonlocal operators
• Probing heavy meson lightcone distribution amplitudes with heavy quark spin symmetry
• Mapping Parton Distributions of Hadrons with Lattice QCD
• Polarized and unpolarized gluon PDFs: generative machine learning applications for lattice QCD matrix elements at short distance and large momentum
• 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
• Counting linearly polarized gluons with lattice QCD
• 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
• Renormalon effect of quasi-PDF in gradient flow formalism
• Lattice QCD Benchmark of Proton Helicity and Flavor-Dependent Unpolarized Transverse Momentum-Dependent Parton Distribution Functions at Physical Quark Masses
• Hybrid renormalization in lattice calculation of baryon LCDAs