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Pion valence quark PDF from lattice QCD

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arxiv 2001.11650 v2 pith:NFQAT2DI submitted 2020-01-31 hep-lat

Charles Shugert , Xiang Gao , Taku Izubichi , Luchang Jin , Christos Kallidonis , Nikhil Karthik , Swagato Mukherjee , Peter Petreczky
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Sergey Syritsyn Yong Zhao
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classification hep-lat
keywords pioncorrelatoreuclideanlatticemethodmomentsaccountallows
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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.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Light Cone Distribution Amplitude for the $\Lambda$ Baryon from Lattice QCD

    hep-lat 2024-11 conditional novelty 7.0 of 10

    The first lattice QCD extraction of the Lambda baryon's light-cone distribution amplitude via LaMET yields a momentum-fraction distribution peaked at small light-quark momenta.

  2. Ill-Posedness in Limited Discrete Fourier Inversion and Regularization for Quasi Distributions in LaMET

    hep-lat 2025-06 conditional novelty 5.0 of 10

    Tikhonov regularization with L-curve parameter choice stabilizes the ill-conditioned limited inverse Fourier transform in LaMET and recovers pion quasi distribution amplitudes consistent with physics-driven lambda-ext...

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