Lattice QCD Determination of the $x$-dependence of Pion Valence Quark PDF at Next-to-next-to-leading Order

Not scheduled
20m
Posters WG1: Structure Functions and Parton Densities WG1: Structure Functions and Parton Densities

Speaker

Yong Zhao

Description

The large-momentum effective theory (LaMET) is a systematic approach to calculate parton physics from Euclidean approaches such as lattice QCD. In this talk, I will present a state-of-the-art lattice QCD calculation of pion valence quark distribution with the hybrid scheme and the first-time implementation of next-to-next-to-leading order LaMET matching correction, which is done using two fine lattices with spacings $a$=0.04 fm and 0.06 fm and valence pion mass 300 MeV at boost momentum as large as 2.42 GeV. I will demonstrate that the renormalization and the perturbative matching in $x$ space yields a reliable determination of the valence quark distribution for moderate $x$ with controllable systematics, which shows reduced uncertainties compared to an analysis with the short-distance factorization approach, and is in nice agreement with the most recent global analyses.

Submitted on behalf of a Collaboration? No

Authors

Andrew Hanlon (Brookhaven National Laboratory) Philipp Scior (BNL) Dr Xiang Gao (Central China Normal University) Yong Zhao Peter Petreczky (BNL) Sergey Syritsyn (Stony Brook University) Swagato Mukherjee (Brookhaven National Laboratory)

Presentation materials

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