Reconstruction of light-cone parton distribution functions from lattice QCD simulations at the physical point

Abstract

We present the unpolarized and helicity parton distribution functions calculated within lattice QCD simulations using physical values of the light quark mass. Non-perturbative renormalization is employed and the lattice data are converted to the MSbar-scheme at a scale of 2 GeV. A matching process is applied together with target mass corrections leading to the reconstruction of light-cone parton distribution functions. For both cases we find a similar behavior between the lattice and phenomenological data, and for the polarized PDF a nice overlap for a range of Bjorken-x values. This presents a major success for the emerging field of direct calculations of quark distributions using lattice QCD.

6 pages, 6 figures, 1 table

References in corpus (19)

• Ab initio calculation of the neutron-proton mass difference
• Extraction of Spin-Dependent Parton Densities and Their Uncertainties
• A first unbiased global determination of polarized PDFs and their uncertainties
• Parton distributions and lattice QCD calculations: a community white paper
• Exploring hadrons' partonic structure using ab initio lattice QCD calculations
• Exclusive processes in position space and the pion distribution amplitude
• A Lattice Calculation of Parton Distributions
• A complete non-perturbative renormalization prescription for quasi-PDFs
• On the Renormalizability of Quasi Parton Distribution Functions
• Parton Distribution Function with Non-perturbative Renormalization from Lattice QCD
• The nucleon spin and momentum decomposition using lattice QCD simulations
• Nonperturbative Evolution of Parton Quasi-Distributions
• Improved quasi parton distribution through Wilson line renormalization
• Matching the Quasi Parton Distribution in a Momentum Subtraction Scheme
• First Extraction of Transversity from a Global Analysis of Electron-Proton and Proton-Proton Data
• First Monte Carlo global analysis of nucleon transversity with lattice QCD constraints
• Nucleon Transverse Momentum-dependent Parton Distributions in Lattice QCD: Renormalization Patterns and Discretization Effects
• Finite-volume effects due to spatially non-local operators
• Computation of parton distributions from the quasi-PDF approach at the physical point

Cited by in corpus (120)

• Electron-Ion Collider in China
• 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
• Parton distributions and lattice QCD calculations: toward 3D structure
• Pion Valence Quark Distribution from Matrix Element Calculated in Lattice QCD
• Pion Valence Structure from Ioffe Time Pseudo-Distributions
• Transversity parton distribution functions from lattice QCD
• First direct lattice-QCD calculation of the $x$-dependence of the pion parton distribution function
• Valence parton distribution function of pion from fine lattice
• Unpolarized and helicity generalized parton distributions of the proton within lattice QCD
• The Spin Structure of the Nucleon
• Pion distribution amplitude from Euclidean correlation functions: Exploring universality and higher-twist effects
• Snowmass 2021 whitepaper: Proton structure at the precision frontier
• Proton Isovector Helicity Distribution on the Lattice at Physical Pion Mass
• Power corrections and renormalons in parton quasi-distributions
• Reconstructing parton distribution functions from Ioffe time data: from Bayesian methods to Neural Networks
• 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
• Towards Quasi-Transverse Momentum Dependent PDFs Computable on the Lattice
• Pion valence quark distribution from current-current correlation in lattice QCD
• Systematic uncertainties in parton distribution functions from lattice QCD simulations at the physical point
• Pion generalized parton distribution from lattice QCD
• Accessing gluon parton distributions in large momentum effective theory
• Parton Distribution Functions from Ioffe time pseudo-distributions
• 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
• 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
• Lattice QCD Study of Transverse-Momentum Dependent Soft Function
• Matching Quasi Generalized Parton Distributions in the RI/MOM scheme
• Self-Renormalization of Quasi-Light-Front Correlators on the Lattice
• Isovector parton distribution functions of the proton on a superfine lattice
• The Present and Future of QCD
• Complete Matching for Quasi-distribution Functions in Large Momentum Effective Theory
• Generalized Parton Distributions from Lattice QCD with Asymmetric Momentum Transfer: Unpolarized Quarks
• Multiplicative renormalizability of quasi-parton operators
• Extraction of Next-to-Next-to-Leading-Order PDFs from Lattice QCD Calculations
• Continuum-extrapolated NNLO Valence PDF of Pion at the Physical Point
• Nucleon Helicity Generalized Parton Distribution at Physical Pion Mass from Lattice QCD
• Gluon Parton Distribution of the Pion from Lattice QCD
• Confronting lattice parton distributions with global QCD analysis
• Flavor non-singlet parton distribution functions from lattice QCD at physical quark masses via the pseudo-distribution approach
• Parton distribution functions of ${\Delta }^{+}$ on the lattice
• Lattice continuum-limit study of nucleon quasi-PDFs
• Transversity GPDs of the proton from lattice QCD
• Parton distributions from lattice data: the nonsinglet case
• 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
• Neural-network analysis of Parton Distribution Functions from Ioffe-time pseudodistributions
• $⟨x⟩$ and $⟨x^2⟩$ of the pion PDF from Lattice QCD with $N_f=2+1+1$ dynamical quark flavours
• Moments of proton GPDs from the OPE of nonlocal quark bilinears up to NNLO
• Resumming Quark's Longitudinal Momentum Logarithms in LaMET Expansion of Lattice PDFs
• Improvement, generalization, and scheme conversion of Wilson-line operators on the lattice in the auxiliary field approach
• One-loop renormalization of staple-shaped operators in continuum and lattice regularizations
• 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 $h_L(x)$
• Flavor decomposition for the proton helicity parton distribution functions
• Unpolarized proton PDF at NNLO from lattice QCD with physical quark masses
• One-loop matching for the twist-3 parton distribution $g_T(x)$
• Renormalization and Matching for the Collins-Soper Kernel from Lattice QCD
• Parton physics from a heavy-quark operator product expansion: Formalism and Wilson coefficients
• Matching the Quasi Meson Distribution Amplitude in RI/MOM scheme
• Exploring twist-2 GPDs through quasi-distributions in a diquark spectator model
• Nucleon Gluon Distribution Function from 2+1+1-Flavor Lattice QCD
• Towards the determination of the gluon helicity distribution in the nucleon from lattice quantum chromodynamics
• Charting the coming synergy between lattice QCD and high-energy phenomenology
• The Frame-Independent Spatial Coordinate $\tilde{z}$: Implications for Light-Front Wave Functions, Deep Inelastic Scattering, Light-Front Holography, and Lattice QCD Calculations
• Pion and kaon valence quark distribution functions from Dyson-Schwinger equations
• Complementarity of experimental and lattice QCD data on pion parton distributions
• First Glimpse into the Kaon Gluon Parton Distribution Using Lattice QCD
• Threshold resummation for computing large-$x$ parton distribution through large-momentum effective theory
• Probing nucleon strange and charm distributions with lattice QCD
• Parton distribution functions beyond leading twist from lattice QCD: The $h_L(x)$ case
• Quasi-parton distribution functions: two-dimensional scalar and spinor QCD
• The Sea of Quarks and Antiquarks in the Nucleon: a Review
• Unravelling High-Energy Hadron Structures with Lattice QCD
• RI/MOM renormalization of the quasi-PDF in lattice regularization
• Going to the light front with contour deformations
• The Mellin moments $⟨x⟩$ and $⟨x^2⟩$ for the pion and kaon from lattice QCD
• Pion Valence-Quark Generalized Parton Distribution at Physical Pion Mass
• Distillation at High-Momentum
• Continuum limit of parton distribution functions from the pseudo-distribution approach on the lattice
• Overview of lattice calculations of the $x$-dependence of PDFs, GPDs and TMDs
• Gluon Parton Distribution of the Nucleon from 2+1+1-Flavor Lattice QCD in the Physical-Continuum Limit
• Pion Valence Quark Distribution at Physical Pion mass of $N_f=2+1+1$ Lattice QCD
• 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
• Non-singlet quark helicity PDFs of the nucleon from pseudo-distributions
• The gluon and charm content of the deuteron
• PDF in PDFs from Hadronic Tensor and LaMET
• Generalized parton distributions from the pseudo-distribution approach on the lattice
• Nucleon quasi-Parton Distributions in the large N${}_c$ limit
• Nucleon Helicity Parton Distribution Function in the Continuum Limit with Self-Renormalization
• Renormalon Effects in Quasi Parton Distributions
• Light Cone Distribution Amplitude for the $\Lambda$ Baryon from Lattice QCD
• T-odd generalized and quasi transverse momentum dependent parton distribution in a scalar spectator model
• Chiral Perturbation for Large Momentum Effective Field Theory
• Burkhardt-Cottingham-type sum rules for light-cone and quasi-PDFs
• Bayesian-Wilson coefficients in lattice QCD computations of valence PDFs and GPDs
• Improved renormalization scheme for nonlocal operators
• Mapping Parton Distributions of Hadrons with Lattice QCD
• Flavor symmetry breaking in the $\Delta$ sea
• Nucleon Structure from Lattice QCD Calculations
• 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
• Isovector helicity quark quasi-distributions inside a large Nc nucleon
• Quasi-PDFs from Twisted mass fermions at the physical point
• A Unified Neural-Network Framework for Nucleon Imaging from Numerical Simulations of QCD
• The quark quasi Sivers function and quasi Boer-Mulders function in a spectator diquark model
• Light-cone PDFs from Lattice QCD
• Hadron spin structure from 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
• The transversity parton distribution function of the nucleon using the pseudo-distribution approach
• Nonperturbative factorization breaking and color entanglement effects in dihadron and direct photon-hadron angular correlations in $p$$+$$p$ and $p$$+$A collisions
• Renormalon effect of quasi-PDF in gradient flow formalism
• Light-cone PDFs and GPDs from Lattice QCD