Systematic uncertainties in parton distribution functions from lattice QCD simulations at the physical point

Abstract

We present a detailed study of the helicity-dependent and helicity-independent collinear parton distribution functions (PDFs) of the nucleon, using the quasi-PDF approach. The lattice QCD computation is performed employing twisted mass fermions with a physical value of the light quark mass. We give a systematic and in-depth account of the salient features entering in the evaluation of quasi-PDFs and their relation to the light-cone PDFs. In particular, we give details for the computation of the matrix elements, including the study of the various sources of systematic uncertainties, such as excited states contamination. In addition, we discuss the non-perturbative renormalization scheme used here and its systematics, effects of truncating the Fourier transform and different matching prescriptions.

47 pages, 33 figures, 6 tables

References in corpus (96)

• Parton distributions from high-precision collider data
• PDF4LHC recommendations for LHC Run II
• Parton Physics on Euclidean Lattice
• A General Method for Non-Perturbative Renormalization of Lattice Operators
• Analytic Smearing of SU(3) Link Variables in Lattice QCD
• The Spin Structure of the Nucleon
• Parton Distribution Functions, ${\alpha }_s$ and Heavy-Quark Masses for LHC Run II
• Extraction of Spin-Dependent Parton Densities and Their Uncertainties
• Chirally improving Wilson fermions - I. O(a) improvement
• A first unbiased global determination of polarized PDFs and their uncertainties
• Quasi-PDFs, momentum distributions and pseudo-PDFs
• Constraints on large-$x$ parton distributions from new weak boson production and deep-inelastic scattering data
• Parton distributions and lattice QCD calculations: a community white paper
• Light Hadron Spectroscopy with Two Flavors of Dynamical Quarks on the Lattice
• 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
• A new class of variance reduction techniques using lattice symmetries
• 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
• Novel quark smearing for hadrons with high momenta in lattice QCD
• Nucleon structure functions from lattice operator product expansion
• 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
• Origin of Difference between $\overline{d}$ and $\overline{u}$ Partons in the Nucleon
• Perturbative Renormalization of quasi-PDFs
• On the Renormalizability of Quasi Parton Distribution Functions
• Deep-inelastic scattering and the operator product expansion in lattice QCD
• Nonperturbative Renormalisation of Composite Operators 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
• Chirally improving Wilson fermions
• Nonperturbative renormalization of nonlocal quark bilinears for quasi-PDFs on the lattice using an auxiliary field
• The PDF4LHC report on PDFs and LHC data: Results from Run I and preparation for Run II
• The Static Approximation of Heavy-Light Quark-Systems - A Systematic Lattice Study
• Parton Distribution Function with Non-perturbative Renormalization from Lattice QCD
• A Critical Appraisal and Evaluation of Modern PDFs
• Transversity parton distribution functions from lattice QCD
• Progress in the Determination of the Partonic Structure of the Proton
• Parton Distribution Benchmarking with LHC Data
• Nonperturbative Evolution of Parton Quasi-Distributions
• Updated Lattice Results for Parton Distributions
• Non-perturbative renormalization of quark bilinear operators with Nf=2 (tmQCD) Wilson fermions and the tree-level improved gauge action
• Nucleon and pion structure with lattice QCD simulations at physical value of the pion mass
• Matching the Quasi Parton Distribution in a Momentum Subtraction Scheme
• Pion distribution amplitude from Euclidean correlation functions: Exploring universality and higher-twist effects
• Proton Isovector Helicity Distribution on the Lattice at Physical Pion Mass
• First Monte Carlo global analysis of nucleon transversity with lattice QCD constraints
• Power corrections and renormalons in parton quasi-distributions
• More On Large-Momentum Effective Theory Approach to Parton Physics
• 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
• Parton Degrees of Freedom from the Path-Integral Formalism
• Accessing gluon parton distributions in large momentum effective theory
• Gluon Quasi-PDF From Lattice QCD
• Improved Parton Distribution Functions at Physical Pion Mass
• Valence QCD: Connecting QCD to the Quark Model
• First Physics Results at the Physical Pion Mass from $N_f=2$ Wilson Twisted Mass Fermions at Maximal Twist
• One-loop evolution of parton pseudo-distribution functions on the lattice
• Low-lying baryon masses using $N_f=2$ twisted mass clover-improved fermions directly at the physical point
• One-loop matching for transversity generalized parton distribution
• Gluon quasidistribution function at one loop
• Adaptive Aggregation-based Domain Decomposition Multigrid for Twisted Mass Fermions
• Parton momentum and helicity distributions in the nucleon
• Quark Pseudo-Distributions at Short Distances
• Pion distribution amplitude from Euclidean correlation functions
• Nonperturbative $O(a)$ improvement of the Wilson quark action with the RG-improved gauge action using the Schrödinger functional method
• Renormalization functions for Nf=2 and Nf=4 Twisted Mass fermions
• Twisted mass quarks and the phase structure of lattice QCD
• Multiplicative renormalizability of quasi-parton operators
• Structure of parton quasi-distributions and their moments
• The role of the Euclidean signature in lattice calculations of quasi-distributions and other non-local matrix elements
• Structure Functions
• Generalized quasi parton distributions in a diquark spectator model
• Finite-volume effects due to spatially non-local operators
• Nonperturbative partonic quasidistributions of the pion from chiral quark models
• Renormalization of local quark-bilinear operators for Nf=3 flavors of SLiNC fermions
• Quasi-parton distribution functions: a study in the diquark spectator model
• The Quark and Gluon Structure of the Proton
• Flavour Breaking Effects of Wilson twisted mass fermions
• 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
• Numerical simulations with two flavours of twisted-mass Wilson quarks and DBW2 gauge action
• On the effect of excited states in lattice calculations of the nucleon axial charge
• Lattice calculation of hadronic tensor of the nucleon
• A Stochastic Method for Computing Hadronic Matrix Elements
• Quasi Distribution Amplitude of Heavy Quarkonia
• Reconstructing parton densities at large fractional momenta

Cited by in corpus (71)

• Large-Momentum Effective Theory
• 50 Years of Quantum Chromodynamics
• Parton distributions and lattice QCD calculations: toward 3D structure
• Pion Valence Structure from Ioffe Time Pseudo-Distributions
• Valence parton distribution function of pion from fine lattice
• Unpolarized and helicity generalized parton distributions of the proton within lattice QCD
• Valence parton distribution of pion from lattice QCD: Approaching continuum
• Parton Physics on a Quantum Computer
• Parton Distribution Functions from Ioffe Time Pseudodistributions from Lattice Calculations: Approaching the Physical Point
• Precision Studies of QCD in the Low Energy Domain of the EIC
• The x-dependence of hadronic parton distributions: A review on the progress of lattice QCD
• Lattice QCD Study of Transverse-Momentum Dependent Soft Function
• Isovector parton distribution functions of the proton on a superfine lattice
• Complete Matching for Quasi-distribution Functions in Large Momentum Effective Theory
• The Present and Future of QCD
• $B$-meson light-cone distribution amplitude from the Euclidean quantity
• Generalized Parton Distributions from Lattice QCD with Asymmetric Momentum Transfer: Unpolarized Quarks
• Nonperturbative renormalization of staple-shaped Wilson line operators in lattice QCD
• 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
• 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
• Parton distributions from lattice data: the nonsinglet case
• Transversity GPDs of the proton from lattice QCD
• 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
• Theory and applications of parton pseudodistributions
• Neural-network analysis of Parton Distribution Functions from Ioffe-time pseudodistributions
• Moments of proton GPDs from the OPE of nonlocal quark bilinears up to NNLO
• 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
• Flavor decomposition for the proton helicity parton distribution functions
• The role of zero-mode contributions in the matching for the twist-3 PDFs $e(x)$ and $h_L(x)$
• Unpolarized proton PDF at NNLO from lattice QCD with physical quark masses
• One-loop matching for the twist-3 parton distribution $g_T(x)$
• Updated QCD global analysis of single transverse-spin asymmetries I: Extracting $\tilde{H}$, and the role of the Soffer bound and lattice QCD
• Exploring twist-2 GPDs through quasi-distributions in a diquark spectator model
• Parton distribution functions beyond leading twist from lattice QCD: The $h_L(x)$ case
• Transversity distributions and tensor charges of the nucleon: extraction from dihadron production and their universal nature
• The Mellin moments $⟨x⟩$ and $⟨x^2⟩$ for the pion and kaon from lattice QCD
• Continuum limit of parton distribution functions from the pseudo-distribution approach on the lattice
• Parton distribution functions from lattice QCD using Bayes-Gauss-Fourier transforms
• 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
• One-Loop Hybrid Renormalization Matching Kernels for Quasi-Parton Distributions
• Non-singlet quark helicity PDFs of the nucleon from pseudo-distributions
• Generalized parton distributions from the pseudo-distribution approach on the lattice
• Nucleon quasi-Parton Distributions in the large N${}_c$ limit
• Theoretical tools for neutrino scattering: interplay between lattice QCD, EFTs, nuclear physics, phenomenology, and neutrino event generators
• Renormalon Effects in Quasi Parton Distributions
• Double parton distributions in the pion from lattice QCD
• Matching the B-meson quasidistribution amplitude in the RI/MOM scheme
• Chiral Perturbation for Large Momentum Effective Field Theory
• Burkhardt-Cottingham-type sum rules for light-cone and quasi-PDFs
• Improved renormalization scheme for nonlocal operators
• Strange quark helicity in the proton from chiral effective theory
• Mapping Parton Distributions of Hadrons with Lattice QCD
• Generalized Parton Distributions from Lattice QCD with Asymmetric Momentum Transfer: Unpolarized Quarks at Nonzero Skewness
• Nucleon Structure from Lattice QCD Calculations
• Large-Momentum Effective Theory's Asymptotic Extrapolation vs the Inverse Problem
• Isovector helicity quark quasi-distributions inside a large Nc nucleon
• The Continuum and Leading Twist Limits of Parton Distribution Functions in Lattice QCD
• A Unified Neural-Network Framework for Nucleon Imaging from Numerical Simulations of QCD
• Helicity-dependent distribution of strange quarks in the proton from nonlocal chiral effective theory
• A model-independent framework for determining finite-volume effects of spatially nonlocal operators
• 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