Valence parton distribution function of pion from fine lattice
Abstract
We present a lattice QCD study of the valence parton distribution inside the pion within the framework of Large Momentum Effective Theory. We use a mixed action approach with 1-HYP smeared valence Wilson clover quarks on 2+1 flavor HISQ sea with the valence quark mass tuned to 300 MeV pion mass. We use 483×64 lattice at a fine lattice spacing a = 0.06fm for this computation. Were normalize the quasi-PDF matrix element in the non-perturbative RI-MOM scheme. As a byproduct, we test the validity of 1-loop matching procedure by comparing the RI-MOM renormalized quasi-PDF matrix element with off-shell quark external states as computed in the continuum 1-loop perturbation theory with the lattice results at a = 0.04 and 0.06 fm. By applying the RI-MOM to MS one-loop matching, implemented through a fit to phenomenologically motivated PDFs, we obtain the valence PDF of pion.
- Authors:
- Publication Date:
- Research Org.:
- Brookhaven National Laboratory (BNL), Upton, NY (United States); Univ. of Connecticut, Storrs, CT (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC), High Energy Physics (HEP)
- OSTI Identifier:
- 1558735
- Alternate Identifier(s):
- OSTI ID: 1562466; OSTI ID: 1583116; OSTI ID: 1596007
- Report Number(s):
- BNL-212091-2019-JAAM; BNL-213523-2020-JAAM
Journal ID: ISSN 2470-0010; PRVDAQ; 034516
- Grant/Contract Number:
- AC05-00OR22725; AC02-06CH11357; SC0012704; 16-37; 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; valence; pion; lattice; OCD; parton; HISO; flavor; 73 NUCLEAR PHYSICS AND RADIATION PHYSICS
Citation Formats
Izubuchi, Taku, Jin, Luchang, Kallidonis, Christos, Karthik, Nikhil, Mukherjee, Swagato, Petreczky, Peter, Shugert, Charles, and Syritsyn, Sergey. Valence parton distribution function of pion from fine lattice. United States: N. p., 2019.
Web. doi:10.1103/PhysRevD.100.034516.
Izubuchi, Taku, Jin, Luchang, Kallidonis, Christos, Karthik, Nikhil, Mukherjee, Swagato, Petreczky, Peter, Shugert, Charles, & Syritsyn, Sergey. Valence parton distribution function of pion from fine lattice. United States. https://doi.org/10.1103/PhysRevD.100.034516
Izubuchi, Taku, Jin, Luchang, Kallidonis, Christos, Karthik, Nikhil, Mukherjee, Swagato, Petreczky, Peter, Shugert, Charles, and Syritsyn, Sergey. Thu .
"Valence parton distribution function of pion from fine lattice". United States. https://doi.org/10.1103/PhysRevD.100.034516.
@article{osti_1558735,
title = {Valence parton distribution function of pion from fine lattice},
author = {Izubuchi, Taku and Jin, Luchang and Kallidonis, Christos and Karthik, Nikhil and Mukherjee, Swagato and Petreczky, Peter and Shugert, Charles and Syritsyn, Sergey},
abstractNote = {We present a lattice QCD study of the valence parton distribution inside the pion within the framework of Large Momentum Effective Theory. We use a mixed action approach with 1-HYP smeared valence Wilson clover quarks on 2+1 flavor HISQ sea with the valence quark mass tuned to 300 MeV pion mass. We use 483×64 lattice at a fine lattice spacing a = 0.06fm for this computation. Were normalize the quasi-PDF matrix element in the non-perturbative RI-MOM scheme. As a byproduct, we test the validity of 1-loop matching procedure by comparing the RI-MOM renormalized quasi-PDF matrix element with off-shell quark external states as computed in the continuum 1-loop perturbation theory with the lattice results at a = 0.04 and 0.06 fm. By applying the RI-MOM to MS one-loop matching, implemented through a fit to phenomenologically motivated PDFs, we obtain the valence PDF of pion.},
doi = {10.1103/PhysRevD.100.034516},
journal = {Physical Review. D.},
number = 3,
volume = 100,
place = {United States},
year = {Thu Aug 01 00:00:00 EDT 2019},
month = {Thu Aug 01 00:00:00 EDT 2019}
}
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https://doi.org/10.1103/PhysRevD.100.034516
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Cited by: 78 works
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Figures / Tables:
FIG. 1: The effective masses $E$eff from the pion two point functions with the boosted Coulomb gauge Gaussian source and sink for different momenta as a function of the source-sink separation t. The horizontal lines are the energy levels from the continuum dispersion relation with $m$$π$= 300 MeV.
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