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.
@article{arxiv.2001.11650,
title = {Pion valence quark PDF from lattice QCD},
author = {Charles Shugert and Xiang Gao and Taku Izubichi and Luchang Jin and Christos Kallidonis and Nikhil Karthik and Swagato Mukherjee and Peter Petreczky and Sergey Syritsyn and Yong Zhao},
journal= {arXiv preprint arXiv:2001.11650},
year = {2020}
}
Comments
Plenary talk given at the 37th International Symposium on Lattice Field Theory-Lattice 2019, 16-22 June 2019, Wuhan, China