Valence parton distribution of the pion from lattice QCD: Approaching the continuum limit
Abstract
We present a high-statistics lattice QCD determination of the valence parton distribution function (PDF) of the pion, with a mass of 300 MeV, using two very fine lattice spacings of a = 0.06 fm and 0.04 fm. We reconstruct the x-dependent PDF, as well as infer the first few even moments of the PDF using leading-twist 1-loop perturbative matching framework. Our analyses use both RI-MOM and ratio-based schemes to renormalize the equal-time bi-local quark-bilinear matrix elements of pions boosted up to 2.4 GeV momenta. We use various model-independent and model-dependent analyses to infer the large-x behavior of the valence PDF. We also present technical studies on lattice spacing and higher-twist corrections present in the boosted pion matrix elements.
- Publication Date:
- Research Org.:
- Brookhaven National Laboratory (BNL), Upton, NY (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC), Nuclear Physics (NP); USDOE Office of Science (SC), Advanced Scientific Computing Research (ASCR). Scientific Discovery through Advanced Computing (SciDAC); USDOE Laboratory Directed Research and Development (LDRD) Program; National Science Foundation (NSF)
- OSTI Identifier:
- 1716541
- Alternate Identifier(s):
- OSTI ID: 1732155
- Report Number(s):
- BNL-220677-2020-JAAM
Journal ID: ISSN 2470-0010; PRVDAQ; 094513
- Grant/Contract Number:
- SC0012704; 16-37; PHY-1847893; SC0010339; FG02-04ER41302; AC05-00OR22725
- Resource Type:
- Published Article
- Journal Name:
- Physical Review D
- Additional Journal Information:
- Journal Name: Physical Review D Journal Volume: 102 Journal Issue: 9; Journal ID: ISSN 2470-0010
- Publisher:
- American Physical Society (APS)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 73 NUCLEAR PHYSICS AND RADIATION PHYSICS
Citation Formats
Gao, Xiang, Jin, Luchang, Kallidonis, Christos, Karthik, Nikhil, Mukherjee, Swagato, Petreczky, Peter, Shugert, Charles, Syritsyn, Sergey, and Zhao, Yong. Valence parton distribution of the pion from lattice QCD: Approaching the continuum limit. United States: N. p., 2020.
Web. doi:10.1103/PhysRevD.102.094513.
Gao, Xiang, Jin, Luchang, Kallidonis, Christos, Karthik, Nikhil, Mukherjee, Swagato, Petreczky, Peter, Shugert, Charles, Syritsyn, Sergey, & Zhao, Yong. Valence parton distribution of the pion from lattice QCD: Approaching the continuum limit. United States. https://doi.org/10.1103/PhysRevD.102.094513
Gao, Xiang, Jin, Luchang, Kallidonis, Christos, Karthik, Nikhil, Mukherjee, Swagato, Petreczky, Peter, Shugert, Charles, Syritsyn, Sergey, and Zhao, Yong. Tue .
"Valence parton distribution of the pion from lattice QCD: Approaching the continuum limit". United States. https://doi.org/10.1103/PhysRevD.102.094513.
@article{osti_1716541,
title = {Valence parton distribution of the pion from lattice QCD: Approaching the continuum limit},
author = {Gao, Xiang and Jin, Luchang and Kallidonis, Christos and Karthik, Nikhil and Mukherjee, Swagato and Petreczky, Peter and Shugert, Charles and Syritsyn, Sergey and Zhao, Yong},
abstractNote = {We present a high-statistics lattice QCD determination of the valence parton distribution function (PDF) of the pion, with a mass of 300 MeV, using two very fine lattice spacings of a = 0.06 fm and 0.04 fm. We reconstruct the x-dependent PDF, as well as infer the first few even moments of the PDF using leading-twist 1-loop perturbative matching framework. Our analyses use both RI-MOM and ratio-based schemes to renormalize the equal-time bi-local quark-bilinear matrix elements of pions boosted up to 2.4 GeV momenta. We use various model-independent and model-dependent analyses to infer the large-x behavior of the valence PDF. We also present technical studies on lattice spacing and higher-twist corrections present in the boosted pion matrix elements.},
doi = {10.1103/PhysRevD.102.094513},
journal = {Physical Review D},
number = 9,
volume = 102,
place = {United States},
year = {2020},
month = {11}
}
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