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Title: Nucleon electromagnetic form factors from lattice QCD using 2+1 flavor domain wall fermions on fine lattices and chiral perturbation theory

Abstract

We present a high-statistics calculation of nucleon electromagnetic form factors in N{sub f}=2+1 lattice QCD using domain wall quarks on fine lattices, to attain a new level of precision in systematic and statistical errors. Our calculations use 32{sup 3}x64 lattices with lattice spacing a=0.084 fm for pion masses of 297, 355, and 403 MeV, and we perform an overdetermined analysis using on the order of 3600 to 7000 measurements to calculate nucleon electric and magnetic form factors up to Q{sup 2{approx_equal}}1.05 GeV{sup 2}. Results are shown to be consistent with those obtained using valence domain wall quarks with improved staggered sea quarks, and using coarse domain wall lattices. We determine the isovector Dirac radius r{sub 1}{sup v}, Pauli radius r{sub 2}{sup v} and anomalous magnetic moment {kappa}{sub v}. We also determine connected contributions to the corresponding isoscalar observables. We extrapolate these observables to the physical pion mass using two different formulations of two-flavor chiral effective field theory at one loop: the heavy baryon small scale expansion and covariant baryon chiral perturbation theory. The isovector results and the connected contributions to the isoscalar results are compared with experiment, and the need for calculations at smaller pion masses is discussed.

Authors:
; ; ; ; ; ;  [1];  [2];  [3];  [4];  [5]
  1. Center for Theoretical Physics, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139 (United States)
  2. Physics Department, New Mexico State University, Las Cruces, New Mexico 88003-8001 (United States)
  3. Institut fuer Theoretische Physik T39, Physik-Department der TU Muenchen, James-Franck-Strasse, D-85747 Garching (Germany)
  4. Theoretische Physik, Universitaet Regensburg, D-93040 Regensburg (Germany)
  5. Institute of Physics, Academia Sinica, Taipei 115, Taiwan (China)
Publication Date:
OSTI Identifier:
21409193
Resource Type:
Journal Article
Journal Name:
Physical Review. D, Particles Fields
Additional Journal Information:
Journal Volume: 81; Journal Issue: 3; Other Information: DOI: 10.1103/PhysRevD.81.034507; (c) 2010 The American Physical Society; Journal ID: ISSN 0556-2821
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; CHIRALITY; COMPUTERIZED SIMULATION; ELECTROMAGNETIC FORM FACTORS; EXPANSION; FLAVOR MODEL; ISOVECTORS; LATTICE FIELD THEORY; MAGNETIC FORMING; MAGNETIC MOMENTS; MASS; MEV RANGE 100-1000; NUCLEONS; PERTURBATION THEORY; PIONS; QUANTUM CHROMODYNAMICS; QUARKS; BARYONS; BOSONS; COMPOSITE MODELS; CONSTRUCTIVE FIELD THEORY; DIMENSIONLESS NUMBERS; ELEMENTARY PARTICLES; ENERGY RANGE; FABRICATION; FERMIONS; FIELD THEORIES; FORM FACTORS; HADRONS; MATERIALS WORKING; MATHEMATICAL MODELS; MESONS; MEV RANGE; PARTICLE MODELS; PARTICLE PROPERTIES; PSEUDOSCALAR MESONS; QUANTUM FIELD THEORY; QUARK MODEL; SIMULATION; TENSORS; VECTORS

Citation Formats

Syritsyn, S N, Bratt, J D, Lin, M F, Meyer, H B, Negele, J W, Pochinsky, A V, Procura, M, Engelhardt, M, Haegler, Ph, Hemmert, T R, and Schroers, W. Nucleon electromagnetic form factors from lattice QCD using 2+1 flavor domain wall fermions on fine lattices and chiral perturbation theory. United States: N. p., 2010. Web. doi:10.1103/PHYSREVD.81.034507.
Syritsyn, S N, Bratt, J D, Lin, M F, Meyer, H B, Negele, J W, Pochinsky, A V, Procura, M, Engelhardt, M, Haegler, Ph, Hemmert, T R, & Schroers, W. Nucleon electromagnetic form factors from lattice QCD using 2+1 flavor domain wall fermions on fine lattices and chiral perturbation theory. United States. https://doi.org/10.1103/PHYSREVD.81.034507
Syritsyn, S N, Bratt, J D, Lin, M F, Meyer, H B, Negele, J W, Pochinsky, A V, Procura, M, Engelhardt, M, Haegler, Ph, Hemmert, T R, and Schroers, W. 2010. "Nucleon electromagnetic form factors from lattice QCD using 2+1 flavor domain wall fermions on fine lattices and chiral perturbation theory". United States. https://doi.org/10.1103/PHYSREVD.81.034507.
@article{osti_21409193,
title = {Nucleon electromagnetic form factors from lattice QCD using 2+1 flavor domain wall fermions on fine lattices and chiral perturbation theory},
author = {Syritsyn, S N and Bratt, J D and Lin, M F and Meyer, H B and Negele, J W and Pochinsky, A V and Procura, M and Engelhardt, M and Haegler, Ph and Hemmert, T R and Schroers, W},
abstractNote = {We present a high-statistics calculation of nucleon electromagnetic form factors in N{sub f}=2+1 lattice QCD using domain wall quarks on fine lattices, to attain a new level of precision in systematic and statistical errors. Our calculations use 32{sup 3}x64 lattices with lattice spacing a=0.084 fm for pion masses of 297, 355, and 403 MeV, and we perform an overdetermined analysis using on the order of 3600 to 7000 measurements to calculate nucleon electric and magnetic form factors up to Q{sup 2{approx_equal}}1.05 GeV{sup 2}. Results are shown to be consistent with those obtained using valence domain wall quarks with improved staggered sea quarks, and using coarse domain wall lattices. We determine the isovector Dirac radius r{sub 1}{sup v}, Pauli radius r{sub 2}{sup v} and anomalous magnetic moment {kappa}{sub v}. We also determine connected contributions to the corresponding isoscalar observables. We extrapolate these observables to the physical pion mass using two different formulations of two-flavor chiral effective field theory at one loop: the heavy baryon small scale expansion and covariant baryon chiral perturbation theory. The isovector results and the connected contributions to the isoscalar results are compared with experiment, and the need for calculations at smaller pion masses is discussed.},
doi = {10.1103/PHYSREVD.81.034507},
url = {https://www.osti.gov/biblio/21409193}, journal = {Physical Review. D, Particles Fields},
issn = {0556-2821},
number = 3,
volume = 81,
place = {United States},
year = {2010},
month = {2}
}