First direct lattice-QCD calculation of the -dependence of the pion parton distribution function
Abstract
We present the first direct lattice-QCD calculation of the Bjorken-x dependence of the valence quark distribution of the pion. Using large-momentum effective theory (LaMET), we calculate the boosted pion state with long Wilson link operators. After implementing the one-loop matching and meson mass corrections, our result at m π ≈ 310 MeV is in agreement with those extracted from experimental data as well as from the Dyson-Schwinger equation in the small-x region, but there is a sizeable discrepancy in the large-x region. This discrepancy provides a nice opportunity to systematically study and disentangle the artifacts in the LaMET approach, which will eventually help to discern various existing analyses in the literature.
- Authors:
-
- (LP3)
- Publication Date:
- Research Org.:
- Univ. of Connecticut, Storrs, CT (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC), Nuclear Physics (NP)
- Contributing Org.:
- Lattice Parton Physics Project (LP3)
- OSTI Identifier:
- 1550587
- Alternate Identifier(s):
- OSTI ID: 1596006
- Grant/Contract Number:
- AC02-05CH11231; SC0011090; EC0012704; SC0010339
- Resource Type:
- Published Article
- Journal Name:
- Physical Review D
- Additional Journal Information:
- Journal Name: Physical Review D Journal Volume: 100 Journal Issue: 3; Journal ID: ISSN 2470-0010
- Publisher:
- American Physical Society (APS)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
Citation Formats
Zhang, Jian-Hui, Chen, Jiunn-Wei, Jin, Luchang, Lin, Huey-Wen, Schäfer, Andreas, Zhao, Yong, and Lattice Parton Physics Project. First direct lattice-QCD calculation of the x -dependence of the pion parton distribution function. United States: N. p., 2019.
Web. doi:10.1103/PhysRevD.100.034505.
Zhang, Jian-Hui, Chen, Jiunn-Wei, Jin, Luchang, Lin, Huey-Wen, Schäfer, Andreas, Zhao, Yong, & Lattice Parton Physics Project. First direct lattice-QCD calculation of the x -dependence of the pion parton distribution function. United States. doi:10.1103/PhysRevD.100.034505.
Zhang, Jian-Hui, Chen, Jiunn-Wei, Jin, Luchang, Lin, Huey-Wen, Schäfer, Andreas, Zhao, Yong, and Lattice Parton Physics Project. Thu .
"First direct lattice-QCD calculation of the x -dependence of the pion parton distribution function". United States. doi:10.1103/PhysRevD.100.034505.
@article{osti_1550587,
title = {First direct lattice-QCD calculation of the x -dependence of the pion parton distribution function},
author = {Zhang, Jian-Hui and Chen, Jiunn-Wei and Jin, Luchang and Lin, Huey-Wen and Schäfer, Andreas and Zhao, Yong and Lattice Parton Physics Project},
abstractNote = {We present the first direct lattice-QCD calculation of the Bjorken-x dependence of the valence quark distribution of the pion. Using large-momentum effective theory (LaMET), we calculate the boosted pion state with long Wilson link operators. After implementing the one-loop matching and meson mass corrections, our result at m π ≈ 310 MeV is in agreement with those extracted from experimental data as well as from the Dyson-Schwinger equation in the small-x region, but there is a sizeable discrepancy in the large-x region. This discrepancy provides a nice opportunity to systematically study and disentangle the artifacts in the LaMET approach, which will eventually help to discern various existing analyses in the literature.},
doi = {10.1103/PhysRevD.100.034505},
journal = {Physical Review D},
number = 3,
volume = 100,
place = {United States},
year = {2019},
month = {8}
}
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DOI: 10.1103/PhysRevD.100.034505
DOI: 10.1103/PhysRevD.100.034505
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