skip to main content
DOE PAGES title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Pion distribution amplitude from lattice QCD

Abstract

Here, we introduce the first lattice-QCD calculation of the pion distribution amplitude using the large-momentum effective field theory (LaMET) approach, which allows us to extract light cone parton observables from a Euclidean lattice. The mass corrections needed to extract the pion distribution amplitude from this approach are calculated to all orders in $$m^{2}_{π}$$/$$P^{2}_{z}$$. Furthermore, we implement the Wilson-line renormalization which is crucial to remove the power divergences in this approach, and find that it reduces the oscillation at the end points of the distribution amplitude. Our exploratory result at 310-MeV pion mass favors a single-hump form broader than the asymptotic form of the pion distribution amplitude.

Authors:
 [1];  [2];  [3];  [4];  [5]
  1. Univ. of Regensburg (Germany). Inst. for Theoretische Physik
  2. National Taiwan Univ., Taipei (Taiwan); Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States)
  3. Shanghai Jiao Tong Univ. (China); Univ. of Maryland, College Park, MD (United States)
  4. Brookhaven National Lab. (BNL), Upton, NY (United States)
  5. Michigan State Univ., East Lansing, MI (United States)
Publication Date:
Research Org.:
Lawrence Berkeley National Laboratory (LBNL), Berkeley, CA (United States). National Energy Research Scientific Computing Center (NERSC)
Sponsoring Org.:
USDOE Office of Science (SC), Nuclear Physics (NP) (SC-26)
OSTI Identifier:
1544390
Alternate Identifier(s):
OSTI ID: 1360999
Report Number(s):
MIT-CTP/4876; MSUHEP-17-003
Journal ID: ISSN 2470-0010; PRVDAQ
Grant/Contract Number:  
AC02-05CH11231; FG02-93ER-40762; SC0012704; 11DZ2260700
Resource Type:
Accepted Manuscript
Journal Name:
Physical Review D
Additional Journal Information:
Journal Volume: 95; Journal Issue: 9; 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, Ji, Xiangdong, Jin, Luchang, and Lin, Huey-Wen. Pion distribution amplitude from lattice QCD. United States: N. p., 2017. Web. doi:10.1103/PhysRevD.95.094514.
Zhang, Jian-Hui, Chen, Jiunn-Wei, Ji, Xiangdong, Jin, Luchang, & Lin, Huey-Wen. Pion distribution amplitude from lattice QCD. United States. doi:10.1103/PhysRevD.95.094514.
Zhang, Jian-Hui, Chen, Jiunn-Wei, Ji, Xiangdong, Jin, Luchang, and Lin, Huey-Wen. Wed . "Pion distribution amplitude from lattice QCD". United States. doi:10.1103/PhysRevD.95.094514. https://www.osti.gov/servlets/purl/1544390.
@article{osti_1544390,
title = {Pion distribution amplitude from lattice QCD},
author = {Zhang, Jian-Hui and Chen, Jiunn-Wei and Ji, Xiangdong and Jin, Luchang and Lin, Huey-Wen},
abstractNote = {Here, we introduce the first lattice-QCD calculation of the pion distribution amplitude using the large-momentum effective field theory (LaMET) approach, which allows us to extract light cone parton observables from a Euclidean lattice. The mass corrections needed to extract the pion distribution amplitude from this approach are calculated to all orders in $m^{2}_{π}$/$P^{2}_{z}$. Furthermore, we implement the Wilson-line renormalization which is crucial to remove the power divergences in this approach, and find that it reduces the oscillation at the end points of the distribution amplitude. Our exploratory result at 310-MeV pion mass favors a single-hump form broader than the asymptotic form of the pion distribution amplitude.},
doi = {10.1103/PhysRevD.95.094514},
journal = {Physical Review D},
number = 9,
volume = 95,
place = {United States},
year = {2017},
month = {5}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record

Citation Metrics:
Cited by: 21 works
Citation information provided by
Web of Science

Figures / Tables:

FIG. 1 FIG. 1: The pion quasi-distribution amplitude (at $µ$ = 2 GeV) after one-loop and mass correction for $P$$z$ = 2 (blue) and 3 (green) (in units of 2$π/L$). The extrapolation to infinite momentum to remove the remaining higher-twist effects is shown in red. The Wilson-line renormalization that removes the powermore » divergent contribution is not included in this plot, and will be implemented later in the results of improved pion quasi-DA. The purple dashed line is the asymptotic form 6$x$(1 − $x$).« less

Save / Share:

Works referenced in this record:

Pion Form Factor
journal, July 1979


Exclusive processes in position space and the pion distribution amplitude
journal, May 2008


Novel quark smearing for hadrons with high momenta in lattice QCD
journal, May 2016


Isovector and isoscalar tensor charges of the nucleon from lattice QCD
journal, November 2015


Nondipolar Wilson links for quasiparton distribution functions
journal, October 2016


Nucleon charges and electromagnetic form factors from 2 + 1 + 1 -flavor lattice QCD
journal, May 2014


Axial, scalar, and tensor charges of the nucleon from 2 + 1 + 1 -flavor Lattice QCD
journal, September 2016


Flavor symmetry and the static potential with hypercubic blocking
journal, July 2001


Moments of pseudoscalar meson distribution amplitudes from the lattice
journal, October 2006


Pion light-cone wave function and pion distribution amplitude in the Nambu–Jona-Lasinio model
journal, November 2002


Parton physics from large-momentum effective field theory
journal, May 2014


Exclusive decays of heavy mesons
journal, July 1982


Exploring quark transverse momentum distributions with lattice QCD
journal, May 2011


A lattice calculation of the second moment of the pion's distribution amplitude
journal, May 1987


Renormalization of quasiparton distribution
journal, August 2015


Valence QCD: Connecting QCD to the quark model
journal, April 1999


Imaging Dynamical Chiral-Symmetry Breaking: Pion Wave Function on the Light Front
journal, March 2013


One-loop matching for transversity generalized parton distribution
journal, September 2015


Measurement of the γ γ * π 0 transition form factor
journal, September 2009


Exclusive processes in quantum chromodynamics: Evolution equations for hadronic wavefunctions and the form factors of mesons
journal, November 1979


Parton Physics on a Euclidean Lattice
journal, June 2013


Pion transition form factor and distribution amplitudes in large- N c Regge models
journal, August 2006


One-loop matching for parton distributions: Nonsinglet case
journal, July 2014


Recent Progress on Nucleon Structure with Lattice qcd
journal, January 2014


Highly improved staggered quarks on the lattice with applications to charm physics
journal, March 2007


Measurement of parity-violating spin asymmetries in W ± production at midrapidity in longitudinally polarized p + p collisions
journal, March 2016


Model-Independent Results for SU(3) Violation in Light-Cone Distribution Functions
journal, May 2004


Measurement of Longitudinal Spin Asymmetries for Weak Boson Production in Polarized Proton-Proton Collisions at RHIC
journal, August 2014


Neutron Electric Dipole Moment and Tensor Charges from Lattice QCD
journal, November 2015


Origin of difference between u ¯ and d ¯ partons in the nucleon
journal, March 1994


Lattice calculation of parton distributions
journal, July 2015


Accessing proton generalized parton distributions and pion distribution amplitudes with the exclusive pion-induced Drell-Yan process at J-PARC
journal, June 2016


Parton degrees of freedom from the path-integral formalism
journal, August 2000


Calculation of the pion's quark distribution amplitude in lattice QCD with dynamical fermions
journal, June 1991


Operator product expansion in QCD in off-forward kinematics: separation of kinematic and dynamical contributions
journal, January 2012


Lattice QCD ensembles with four flavors of highly improved staggered quarks
journal, March 2013


Lattice results for low moments of light meson distribution amplitudes
journal, April 2011


Nonperturbative evolution of parton quasi-distributions
journal, April 2017


Belle data on the π 0 γ * γ form factor: A game changer?
journal, October 2012


Pion distribution amplitude and quasidistributions
journal, March 2017


Improved quasi parton distribution through Wilson line renormalization
journal, February 2017


Deep-inelastic scattering and the operator product expansion in lattice QCD
journal, January 2006


Restoration of rotational symmetry in the continuum limit of lattice field theories
journal, September 2012


Second moment of the pion light-cone distribution amplitude from lattice QCD
journal, July 2015


Pion Distribution Amplitude from Lattice QCD
journal, August 2013


Kinematic Power Corrections in Off-Forward Hard Reactions
journal, November 2011


One-loop matching for generalized parton distributions
journal, July 2015


Quasi parton distributions and the gradient flow
journal, March 2017

  • Monahan, Christopher; Orginos, Kostas
  • Journal of High Energy Physics, Vol. 2017, Issue 3
  • DOI: 10.1007/JHEP03(2017)116

Measurement of γ γ * π 0 transition form factor at Belle
journal, November 2012


Flavor structure of the nucleon sea from lattice QCD
journal, March 2015


Nucleon helicity and transversity parton distributions from lattice QCD
journal, October 2016


The Chroma Software System for Lattice QCD
journal, March 2005


    Figures/Tables have been extracted from DOE-funded journal article accepted manuscripts.