Unpolarized isovector quark distribution function from lattice QCD: A systematic analysis of renormalization and matching
Abstract
We present a detailed lattice QCD study of the unpolarized isovector quark parton distribution function (PDF) using a large-momentum effective theory framework. We choose a quasi-PDF defined by a spatial correlator which is free from mixing with other operators of the same dimension. In the lattice simulation, we use a Gaussian-momentum-smeared source at $$M_π = 356 MeV$$ and $$P_z ϵ {1.8, 2.3} GeV$$. To control the systematics associated with the excited states, we explore five different source-sink separations. The nonperturbative renormalization is conducted in a regularization-independent momentum subtraction scheme, and the matching between the renormalized quasi-PDF and $$\bar{MS}$$ PDF is calculated based on perturbative QCD up to one-loop order. Systematic errors due to renormalization and perturbative matching are also analyzed in detail. Our results for light-cone PDF are in reasonable agreement with the latest phenomenological analysis.
- Publication Date:
- Research Org.:
- Brookhaven National Laboratory (BNL), Upton, NY (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC), Nuclear Physics (NP)
- Contributing Org.:
- Lattice Parton Collaboration
- OSTI Identifier:
- 1600062
- Alternate Identifier(s):
- OSTI ID: 1606187
- Report Number(s):
- BNL-213749-2020-JAAM
Journal ID: ISSN 2470-0010; PRVDAQ; 034020
- Grant/Contract Number:
- EC0012704; SC0011090; SC0012704
- Resource Type:
- Published Article
- Journal Name:
- Physical Review D
- Additional Journal Information:
- Journal Name: Physical Review D Journal Volume: 101 Journal Issue: 3; Journal ID: ISSN 2470-0010
- Publisher:
- American Physical Society (APS)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 73 NUCLEAR PHYSICS AND RADIATION PHYSICS; Lattice QCD; Nucleon distribution; Perturbative QCD
Citation Formats
Liu, Yu-Sheng, Chen, Jiunn-Wei, Huo, Yi-Kai, Jin, Luchang, Schlemmer, Maximilian, Schäfer, Andreas, Sun, Peng, Wang, Wei, Yang, Yi-Bo, Zhang, Jian-Hui, Zhang, Qi-An, Zhang, Kuan, Zhao, Yong, and Lattice Parton Collaboration. Unpolarized isovector quark distribution function from lattice QCD: A systematic analysis of renormalization and matching. United States: N. p., 2020.
Web. doi:10.1103/PhysRevD.101.034020.
Liu, Yu-Sheng, Chen, Jiunn-Wei, Huo, Yi-Kai, Jin, Luchang, Schlemmer, Maximilian, Schäfer, Andreas, Sun, Peng, Wang, Wei, Yang, Yi-Bo, Zhang, Jian-Hui, Zhang, Qi-An, Zhang, Kuan, Zhao, Yong, & Lattice Parton Collaboration. Unpolarized isovector quark distribution function from lattice QCD: A systematic analysis of renormalization and matching. United States. https://doi.org/10.1103/PhysRevD.101.034020
Liu, Yu-Sheng, Chen, Jiunn-Wei, Huo, Yi-Kai, Jin, Luchang, Schlemmer, Maximilian, Schäfer, Andreas, Sun, Peng, Wang, Wei, Yang, Yi-Bo, Zhang, Jian-Hui, Zhang, Qi-An, Zhang, Kuan, Zhao, Yong, and Lattice Parton Collaboration. Tue .
"Unpolarized isovector quark distribution function from lattice QCD: A systematic analysis of renormalization and matching". United States. https://doi.org/10.1103/PhysRevD.101.034020.
@article{osti_1600062,
title = {Unpolarized isovector quark distribution function from lattice QCD: A systematic analysis of renormalization and matching},
author = {Liu, Yu-Sheng and Chen, Jiunn-Wei and Huo, Yi-Kai and Jin, Luchang and Schlemmer, Maximilian and Schäfer, Andreas and Sun, Peng and Wang, Wei and Yang, Yi-Bo and Zhang, Jian-Hui and Zhang, Qi-An and Zhang, Kuan and Zhao, Yong and Lattice Parton Collaboration},
abstractNote = {We present a detailed lattice QCD study of the unpolarized isovector quark parton distribution function (PDF) using a large-momentum effective theory framework. We choose a quasi-PDF defined by a spatial correlator which is free from mixing with other operators of the same dimension. In the lattice simulation, we use a Gaussian-momentum-smeared source at $M_π = 356 MeV$ and $P_z ϵ {1.8, 2.3} GeV$. To control the systematics associated with the excited states, we explore five different source-sink separations. The nonperturbative renormalization is conducted in a regularization-independent momentum subtraction scheme, and the matching between the renormalized quasi-PDF and $\bar{MS}$ PDF is calculated based on perturbative QCD up to one-loop order. Systematic errors due to renormalization and perturbative matching are also analyzed in detail. Our results for light-cone PDF are in reasonable agreement with the latest phenomenological analysis.},
doi = {10.1103/PhysRevD.101.034020},
journal = {Physical Review D},
number = 3,
volume = 101,
place = {United States},
year = {Tue Feb 18 00:00:00 EST 2020},
month = {Tue Feb 18 00:00:00 EST 2020}
}
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https://doi.org/10.1103/PhysRevD.101.034020
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