Lattice QCD Determination of the Bjorken-x Dependence of PDFs at NNLO

Xiang Gao; Andrew D. Hanlon; Swagato Mukherjee; Peter Petreczky; Philipp Scior; Sergey Syritsyn; Yong Zhao

Lattice QCD Determination of the Bjorken-x Dependence of PDFs at NNLO

Xiang Gao
, Andrew D. Hanlon
, Swagato Mukherjee
, Peter Petreczky
, Philipp Scior
, Sergey Syritsyn
, Yong Zhao

Physics and Astronomy

Argonne National Laboratory
United States Department of Energy

Research output: Contribution to journal › Conference article › peer-review

3 Scopus citations

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_π=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 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.

Original language	English
Article number	104
Journal	Proceedings of Science
Volume	430
State	Published - Apr 6 2023
Event	39th International Symposium on Lattice Field Theory, LATTICE 2022 - Bonn, Germany Duration: Aug 8 2022 → Aug 13 2022

Cite this

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title = "Lattice QCD Determination of the Bjorken-x Dependence of PDFs at NNLO",

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 mπ=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 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.",

author = "Xiang Gao and Hanlon, \{Andrew D.\} and Swagato Mukherjee and Peter Petreczky and Philipp Scior and Sergey Syritsyn and Yong Zhao",

note = "Publisher Copyright: {\textcopyright} Copyright owned by the author(s) under the terms of the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License (CC BY-NC-ND 4.0).; 39th International Symposium on Lattice Field Theory, LATTICE 2022 ; Conference date: 08-08-2022 Through 13-08-2022",

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TY - JOUR

T1 - Lattice QCD Determination of the Bjorken-x Dependence of PDFs at NNLO

AU - Gao, Xiang

AU - Hanlon, Andrew D.

AU - Mukherjee, Swagato

AU - Petreczky, Peter

AU - Scior, Philipp

AU - Syritsyn, Sergey

AU - Zhao, Yong

N1 - Publisher Copyright: © Copyright owned by the author(s) under the terms of the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License (CC BY-NC-ND 4.0).

PY - 2023/4/6

Y1 - 2023/4/6

N2 - 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 mπ=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 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.

AB - 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 mπ=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 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.

UR - https://www.scopus.com/pages/publications/85153199668

M3 - Conference article

AN - SCOPUS:85153199668

SN - 1824-8039

VL - 430

JO - Proceedings of Science

JF - Proceedings of Science

M1 - 104

T2 - 39th International Symposium on Lattice Field Theory, LATTICE 2022

Y2 - 8 August 2022 through 13 August 2022

ER -

Lattice QCD Determination of the Bjorken-x Dependence of PDFs at NNLO

Abstract

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