Parton distribution functions in the pion from lattice QCD
arXiv:hep-lat/0303015 · doi:10.1103/PhysRevD.68.034025
Abstract
We analyze the moments of parton distribution functions in the pion calculated in lattice QCD, paying particular attention to their chiral extrapolation. Using the lowest three non-trivial moments calculated on the lattice, we assess the accuracy with which the x dependence of both the valence and sea quark distributions in the pion can be extracted. The resulting valence quark distributions at the physical pion mass are in fair agreement with existing Drell-Yan data, but the statistical errors are such that one cannot yet confirm (or rule out) the large-x behavior expected from hadron helicity conservation in perturbative QCD. However, one can expect that the next generation of calculations in lattice QCD will allow one to extract parton distributions with a level of accuracy comparable with current experiments.
22 pages, 4 figures, to appear in Phys. Rev. D
References in corpus (24)
- Pionic Parton Distributions Revisited
- Pion and Rho Structure Functions from Lattice QCD
- Chiral extrapolation of lattice moments of proton quark distributions
- Moments of Nucleon Light Cone Quark Distributions Calculated in Full Lattice QCD
- Enhanced chiral logarithms in partially quenched QCD
- Valence-quark distributions in the pion
- Pion light-cone wave function and pion distribution amplitude in the Nambu-Jona-Lasinio model
- Chiral Corrections to Matrix Elements of Twist-2 Operators
- Pion Structure Function in the Nambu and Jona-Lasinio model
- Dynamical Symmetry Breaking in the Sea of the Nucleon
- Baryons in Partially Quenched Chiral Perturbation Theory
- Chiral Behaviour of the Rho Meson in Lattice QCD
- Is the Sullivan Process Compatible with QCD Chiral Dynamics?
- Moments of Isovector Quark Distributions from Lattice QCD
- The Validity of Charge Symmetry for Parton Distributions
- NJL model on the light cone and pion structure function
- Mesonic Parton Densities Derived From Constituent Quark Model Constraints
- Quark-hadron duality in electron-pion scattering
- The Pion Structure Function in a Constituent Model
- Matrix Elements of Twist-2 Operators in Quenched Chiral Perturbation Theory
- A Model for the Pion Structure Function
- Higher-Twist Contribution to Pion Structure Function: 4-Fermi Operators
- The pion structure function and jet production in
- Connecting structure functions on the lattice with phenomenology
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- Distribution Functions of the Nucleon and Pion in the Valence Region
- Pion and Kaon Structure at the Electron-Ion Collider
- Deep-inelastic scattering and the operator product expansion in lattice QCD
- Pion Valence Quark Distribution from Matrix Element Calculated in Lattice QCD
- The pion parton distribution function in the valence region
- Parton Distribution Functions of the Charged Pion Within The xFitter Framework
- Symmetry, symmetry breaking, and pion parton distributions
- Parton Distribution Functions from a Light Front Hamiltonian and QCD Evolution for Light Mesons
- Recent Progress in QCD Condensate Evaluations and Sum Rules
- Basic features of the pion valence-quark distribution function
- Pion and kaon parton distribution functions from basis light front quantization and QCD evolution
- Valence-quark distribution functions in the kaon and pion
- Pion and kaon valence-quark parton distribution functions
- Twist-two matrix elements at finite and infinite volume
- Short Range Correlations and the EMC Effect in Effective Field Theory
- Drawing insights from pion parton distributions
- Distribution amplitudes of light-quark mesons from lattice QCD
- Leading Chiral Corrections to the Nucleon Generalized Parton Distributions
- Model Independent Results for SU(3) Violation in Light-Cone Distribution Functions
- Parton-distribution functions for the pion and kaon in the gauge-invariant nonlocal chiral-quark model
- The pion and kaon from lattice QCD and PDF reconstruction from Mellin moments
- An Analysis of Parton Distribution Functions of the Pion and the Kaon with the Maximum Entropy Input
- Flavour singlet physics in lattice QCD with background fields
- Charting the coming synergy between lattice QCD and high-energy phenomenology
- Spatial and Momentum Imaging of the Pion and Kaon
- Pion and kaon valence quark distribution functions from Dyson-Schwinger equations
- Extrapolation of lattice QCD results beyond the power-counting regime
- Intrinsic Transverse Motion of the Pion's Valence Quarks
- Pion Parton Distributions in a non local Lagrangian
- Complementarity of experimental and lattice QCD data on pion parton distributions
- Tomography of light mesons in light-cone quark model
- Ab initio short-range-correlation scaling factors from light to medium-mass nuclei
- Kaon quark distribution functions in the chiral constituent quark model
- A Model for the Off-forward Structure Functions of the Pion
- Hadron Interactions for Arbitrary Energies and Species, with Applications to Cosmic rays
- Pion Valence Quark Distributions from Maximum Entropy Method
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- Model-Independent Results for SU(3) Violation in Twist-3 Light-Cone Distribution Functions
- Deep inelastic scattering cross sections from the gauge/string duality
- Generalised parton distributions of the pion in partially-quenched chiral perturbation theory
- Parton distributions in the proton and pion
- Breakdown of chiral expansion for parton distributions
- Chiral Perturbation for Large Momentum Effective Field Theory
- Bayesian-Wilson coefficients in lattice QCD computations of valence PDFs and GPDs
- Generalized quasi, Ioffe-time, and pseudo quark distributions of the pion in the Nambu--Jona-Lasinio model
- Chiral expansion of moments of quark distributions
- Deep inelastic scattering off scalar mesons in the 1/N expansion from the D3D7-brane system
- Simulation of the neutron-tagged deep inelastic scattering at EicC
- Vector-axial vector lattice cross section and valence parton distribution in the pion from a chiral quark model
- Pion-nucleus induced Drell-Yan cross section in models inspired by light-front holography
- Flavor symmetry breaking in the sea
- Pion parton distribution functions with the nonrelativistic constituent quark model
- Parton Distribution Functions for Pseudoscalar Mesons in the COnfining Effective Chiral Quark Theory