Pion valence structure from Ioffe-time parton pseudodistribution functions
Abstract
We present a calculation of the pion valence quark distribution extracted using the formalism of reduced Ioffe-time pseudodistributions or more commonly known as pseudo-PDFs. Our calculation is carried out on two different 2 $+$ 1 flavor QCD ensembles using the isotropic-clover fermion action, with lattice dimensions 243 $×$ 64 and 323 $×$ 96 at the lattice spacing of $a$=0.127 fm, and with the quark mass equivalent to a pion mass of $$m_π≃$$415 MeV. We incorporate several combinations of smeared-point and smeared-smeared pion source-sink interpolation fields in obtaining the lattice QCD matrix elements using the summation method. After one-loop perturbative matching and combining the pseudodistributions from these two ensembles, we extract the pion valence quark distribution using a phenomenological functional form motivated by the global fits of parton distribution functions. We also calculate the lowest four moments of the pion quark distribution through the “operator product expansion without operator product expansion.” We present a qualitative comparison between our lattice QCD extraction of the pion valence quark distribution with that obtained from global fits and previous lattice QCD calculations.
- Publication Date:
- Research Org.:
- Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC), Nuclear Physics (NP); National Science Foundation (NSF); US Department of the Navy, Office of Naval Research (ONR)
- Contributing Org.:
- TMD Collaboration; USQCD Collaboration; Southeastern Universities Research Association (SURA)
- OSTI Identifier:
- 1579785
- Alternate Identifier(s):
- OSTI ID: 1581133
- Report Number(s):
- JLAB-THY-19-3038; DOE/OR/23177-4784
Journal ID: ISSN 2470-0010; PRVDAQ; 114512
- Grant/Contract Number:
- AC05-06OR23177; AC02-05CH11231; FG02-04ER41302; FG02-97ER41028; AC05-00OR22725; ACI-1548562; PHY-1626177; ST/P000681/1
- Resource Type:
- Published Article
- Journal Name:
- Physical Review D
- Additional Journal Information:
- Journal Name: Physical Review D Journal Volume: 100 Journal Issue: 11; Journal ID: ISSN 2470-0010
- Publisher:
- American Physical Society
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
Citation Formats
Joó, Bálint, Karpie, Joseph, Orginos, Kostas, Radyushkin, Anatoly V., Richards, David G., Sufian, Raza Sabbir, and Zafeiropoulos, Savvas. Pion valence structure from Ioffe-time parton pseudodistribution functions. United States: N. p., 2019.
Web. doi:10.1103/PhysRevD.100.114512.
Joó, Bálint, Karpie, Joseph, Orginos, Kostas, Radyushkin, Anatoly V., Richards, David G., Sufian, Raza Sabbir, & Zafeiropoulos, Savvas. Pion valence structure from Ioffe-time parton pseudodistribution functions. United States. https://doi.org/10.1103/PhysRevD.100.114512
Joó, Bálint, Karpie, Joseph, Orginos, Kostas, Radyushkin, Anatoly V., Richards, David G., Sufian, Raza Sabbir, and Zafeiropoulos, Savvas. Wed .
"Pion valence structure from Ioffe-time parton pseudodistribution functions". United States. https://doi.org/10.1103/PhysRevD.100.114512.
@article{osti_1579785,
title = {Pion valence structure from Ioffe-time parton pseudodistribution functions},
author = {Joó, Bálint and Karpie, Joseph and Orginos, Kostas and Radyushkin, Anatoly V. and Richards, David G. and Sufian, Raza Sabbir and Zafeiropoulos, Savvas},
abstractNote = {We present a calculation of the pion valence quark distribution extracted using the formalism of reduced Ioffe-time pseudodistributions or more commonly known as pseudo-PDFs. Our calculation is carried out on two different 2 $+$ 1 flavor QCD ensembles using the isotropic-clover fermion action, with lattice dimensions 243 $×$ 64 and 323 $×$ 96 at the lattice spacing of $a$=0.127 fm, and with the quark mass equivalent to a pion mass of $m_π≃$415 MeV. We incorporate several combinations of smeared-point and smeared-smeared pion source-sink interpolation fields in obtaining the lattice QCD matrix elements using the summation method. After one-loop perturbative matching and combining the pseudodistributions from these two ensembles, we extract the pion valence quark distribution using a phenomenological functional form motivated by the global fits of parton distribution functions. We also calculate the lowest four moments of the pion quark distribution through the “operator product expansion without operator product expansion.” We present a qualitative comparison between our lattice QCD extraction of the pion valence quark distribution with that obtained from global fits and previous lattice QCD calculations.},
doi = {10.1103/PhysRevD.100.114512},
journal = {Physical Review D},
number = 11,
volume = 100,
place = {United States},
year = {2019},
month = {12}
}
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https://doi.org/10.1103/PhysRevD.100.114512
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Works referencing / citing this record:
Symmetry, symmetry breaking, and pion parton distributions
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