Volume 430 - The 39th International Symposium on Lattice Field Theory (LATTICE2022) - Hadron Structure
Lattice QCD Determination of the Bjorken-𝑥 Dependence of PDFs at Next-to-next-to-leading Order
X. Gao*, A. Hanlon, S. Mukherjee, P. Petreczky, P. Scior, S. Syritsyn and Y. Zhao
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Abstract
We present lattice QCD calculation of pion valence quark distribution using next-to-next-to-leading order perturbative matching. We use three lattices with fine lattice spacings of $a$ = 0.04, 0.06 and 0.076 fm and two valence pion mass $m_\pi$=300 MeV and 140 MeV to have both discretization and pion mass effect under control. The bare quasi-PDF matrix elements of pion extracted from three-point functions are renormalized in the hybrid scheme and matched to the $\overline{\rm MS}$ scheme. With boost momentum as large as 2.42 GeV, we present reliable lattice QCD prediction of Bjorken-$x$ dependent valence quark distribution of pion in middle $x$ region with controlled systematics.
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