Pion valence quark PDF from lattice QCD

Abstract

We present lattice results on the valence-quark structure of the pion using a coordinate space method within the framework of Large Momentum Effective Theory (LaMET). In this method one relies on the matrix elements of a Euclidean correlator in boosted hadronic states, which have an operator product expansion at short distance that allows us to extract the moments of PDFs. We renormalize the Euclidean correlator by forming the reduced Ioffe-time distribution (rITD), and reconstruct the second and fourth moments of the pion PDF by taking into account of QCD evolution effects.

arXiv commentPlenary talk given at the 37th International Symposium on Lattice Field Theory-Lattice 2019, 16-22 June 2019, Wuhan, China

References in corpus (8)

• Parton Physics on Euclidean Lattice
• Flavor Symmetry and the Static Potential with Hypercubic Blocking
• Novel quark smearing for hadrons with high momenta in lattice QCD
• Factorization Theorem Relating Euclidean and Light-Cone Parton Distributions
• First Monte Carlo global QCD analysis of pion parton distributions
• Covariant approximation averaging
• Power corrections and renormalons in parton quasi-distributions
• Parton distribution functions on the lattice and in the continuum

Cited by in corpus (5)

• Large-Momentum Effective Theory
• A Hybrid Renormalization Scheme for Quasi Light-Front Correlations in Large-Momentum Effective Theory
• An Analysis of Parton Distribution Functions of the Pion and the Kaon with the Maximum Entropy Input
• Vector-axial vector lattice cross section and valence parton distribution in the pion from a chiral quark model
• Searching for $a_0(980)$-meson parton distribution function