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We present the first direct lattice-QCD calculation of the Bjorken-$x$ dependence of the valence quark distribution in the pion. Using large-momentum effective theory (LaMET), we calculate the boosted pion state… Click to show full abstract
We present the first direct lattice-QCD calculation of the Bjorken-$x$ dependence of the valence quark distribution in the pion. Using large-momentum effective theory (LaMET), we calculate the boosted pion state with long Wilson link operators. With lattice data calculated at 310 MeV pion mass, we illustrate the numerical impact of one-loop matching and meson mass corrections. Our results are comparable quantitatively with the results extracted from experimental data as well as from the Dyson-Schwinger equation. Future calculations at physical pion mass and larger momentum will be able to discern discrepancies in various existing analyses.
Journal Title: Physical Review D
Year Published: 2019
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