Nonperturbative Evolution of Parton Quasi-Distributions

Abstract

Using our formalism of parton virtuality distribution functions (VDFs) we establish a connection between the transverse momentum dependent distributions (TMDs) $\mathcal{F}(x,k_{\perp }^2)$ and quasi-distributions $Q(y,P_z)$ introduced recently by X. Ji for lattice QCD extraction of parton distributions $f(x)$. We build models for PQDs from the VDF-based models for soft TMDs, and analyze the $P_z$ dependence of the resulting PQDs. We observe a strong nonperturbative evolution of PQDs for small and moderately large values of $P_z$ reflecting the transverse momentum dependence of TMDs. Thus, the study of PQDs on the lattice in the domain of strong nonperturbative effects opens a new perspective for investigation of the 3-dimensional hadron structure.

arXiv commentVersion to appear in Physics Letters B

References in corpus (16)

• Parton Physics on Euclidean Lattice
• Nucleon Helicity and Transversity Parton Distributions from Lattice QCD
• Flavor Structure of the Nucleon Sea from Lattice QCD
• A Lattice Calculation of Parton Distributions
• One-Loop Matching for Parton Distributions: Non-Singlet Case
• Improved quasi parton distribution through Wilson line renormalization
• On the renormalization of quasi parton distribution
• One-loop matching for transversity generalized parton distribution
• Practical quasi parton distribution functions
• Quasi-parton distribution functions: a study in the diquark spectator model
• Non-dipolar Wilson links for quasi-parton distribution functions
• QCD Factorization and PDFs from Lattice QCD Calculation
• Reconstructing parton densities at large fractional momenta
• Virtuality Distributions in Application to $\gamma {\gamma }^{\ast }\to {\pi }^0$ Transition Form Factor at Handbag Level
• Virtuality and Transverse Momentum Dependence of Pion Distribution Amplitude
• Parton distribution functions from Lattice QCD

Cited by in corpus (100)

• Electron-Ion Collider in China
• Quasi-PDFs, momentum distributions and pseudo-PDFs
• Parton distributions and lattice QCD calculations: a community white paper
• Large-Momentum Effective Theory
• 50 Years of Quantum Chromodynamics
• 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
• Pion and Kaon Structure at the Electron-Ion Collider
• A complete non-perturbative renormalization prescription for quasi-PDFs
• Parton distributions and lattice QCD calculations: toward 3D structure
• Perturbative Renormalization of quasi-PDFs
• On the Renormalizability of Quasi Parton Distribution Functions
• Pion Distribution Amplitude from Lattice QCD
• Reconstruction of light-cone parton distribution functions from lattice QCD simulations at the physical point
• Parton Distribution Function with Non-perturbative Renormalization from Lattice QCD
• 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
• Symmetry, symmetry breaking, and pion parton distributions
• Revealing the structure of light pseudoscalar mesons at the Electron-Ion Collider
• Systematic uncertainties in parton distribution functions from lattice QCD simulations at the physical point
• Pion generalized parton distribution from lattice QCD
• Deeply inelastic scattering structure functions on a hybrid quantum computer
• Parton Distribution Functions from Ioffe time pseudo-distributions
• One-loop evolution of parton pseudo-distribution functions on the lattice
• Gluon quasidistribution function at one loop
• Nucleon Tomography and Generalized Parton Distribution at Physical Pion Mass from Lattice QCD
• Precision Studies of QCD in the Low Energy Domain of the EIC
• Pion and kaon valence-quark quasiparton distributions
• The x-dependence of hadronic parton distributions: A review on the progress of lattice QCD
• Pion and Kaon Distribution Amplitudes in the Continuum Limit
• Quark Pseudo-Distributions at Short Distances
• Hadrons and Nuclei
• Matching Quasi Generalized Parton Distributions in the RI/MOM scheme
• Single-particle digitization strategy for quantum computation of a ${\varphi }^4$ scalar field theory
• Complete Matching for Quasi-distribution Functions in Large Momentum Effective Theory
• The Present and Future of QCD
• Generalized Parton Distributions and Pseudo-Distributions
• Reflections upon the Emergence of Hadronic Mass
• Flavor non-singlet parton distribution functions from lattice QCD at physical quark masses via the pseudo-distribution approach
• Structure of parton quasi-distributions and their moments
• Parton distribution functions of ${\Delta }^{+}$ on the lattice
• The role of the Euclidean signature in lattice calculations of quasi-distributions and other non-local matrix elements
• Parton distributions from lattice data: the nonsinglet case
• Generalized quasi parton distributions in a diquark spectator model
• Drawing insights from pion parton distributions
• Finite-volume effects due to spatially non-local operators
• Theory and applications of parton pseudodistributions
• Neural-network analysis of Parton Distribution Functions from Ioffe-time pseudodistributions
• Nonperturbative partonic quasidistributions of the pion from chiral quark models
• Nuclear PDFs After the First Decade of LHC Data
• Lattice corrections to the quark quasidistribution at one-loop
• On the power divergence in quasi gluon distribution function
• Smeared quasidistributions in perturbation theory
• Flavor decomposition for the proton helicity parton distribution functions
• Flavor decomposition of the nucleon unpolarized, helicity and transversity parton distribution functions from lattice QCD simulations
• The role of zero-mode contributions in the matching for the twist-3 PDFs $e(x)$ and $h_L(x)$
• One-loop renormalization of staple-shaped operators in continuum and lattice regularizations
• Light-cone distribution amplitudes of vector meson in large momentum effective theory
• The pion and kaon $⟨x^3⟩$ from lattice QCD and PDF reconstruction from Mellin moments
• Pion Distribution Amplitude and Quasi-Distributions
• Nucleon Gluon Distribution Function from 2+1+1-Flavor Lattice QCD
• Renormalization of Wilson-line operators in the presence of nonzero quark masses
• Exploring twist-2 GPDs through quasi-distributions in a diquark spectator model
• Target Mass Effects in Parton Quasi-Distributions
• Parton distribution functions on the lattice and in the continuum
• Partonic quasi-distributions of the proton and pion from transverse-momentum distributions
• Quantifying finite-momentum effects in meson quasi-PDFs
• Probing nucleon strange and charm distributions with lattice QCD
• Going to the light front with contour deformations
• Tomography of pions and protons via transverse momentum dependent distributions
• The Mellin moments $⟨x⟩$ and $⟨x^2⟩$ for the pion and kaon from lattice QCD
• Master Integrals for two-loop QCD corrections to Quasi PDFs
• Continuum limit of parton distribution functions from the pseudo-distribution approach on the lattice
• QCD factorization for twist-three axial-vector parton quasidistributions
• One-Loop Hybrid Renormalization Matching Kernels for Quasi-Parton Distributions
• Non-singlet quark helicity PDFs of the nucleon from pseudo-distributions
• Moments of parton distribution functions of any order from lattice QCD
• Quark fragmentation as a probe of dynamical mass generation
• Nucleon quasi-Parton Distributions in the large N${}_c$ limit
• Generalized parton distributions from the pseudo-distribution approach on the lattice
• The nucleon isovector tensor charge from lattice QCD using chiral fermions
• Renormalon Effects in Quasi Parton Distributions
• QCD factorization for chiral-odd parton quasi- and pseudo-distributions
• What are the low-$Q$ and large-$x$ boundaries of collinear QCD factorization theorems?
• Computing real time correlation functions on a hybrid classical/quantum computer
• T-odd generalized and quasi transverse momentum dependent parton distribution in a scalar spectator model
• Nucleon form factors and parton distributions in nonlocal chiral effective theory
• Chiral Perturbation for Large Momentum Effective Field Theory
• Generalized quasi, Ioffe-time, and pseudo quark distributions of the pion in the Nambu--Jona-Lasinio model
• Reconstructing parton distribution function based on maximum entropy method
• Finite continuum quasi distributions from lattice QCD
• Vector-axial vector lattice cross section and valence parton distribution in the pion from a chiral quark model
• Progress in computing parton distribution functions from the quasi-PDF approach
• Non-local Nucleon Matrix Elements in the Rest Frame
• Valence Quark PDFs of the Proton from Two-Current Correlations in Lattice QCD
• A model-independent framework for determining finite-volume effects of spatially nonlocal operators
• 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
• Towards High-Precision Parton Distributions From Lattice QCD via Distillation
• Light-cone PDFs and GPDs from Lattice QCD