Nucleon structure with two flavors of dynamical domain-wall fermions

Abstract

We present a numerical lattice quantum chromodynamics calculation of isovector form factors and the first few moments of the isovector structure functions of the nucleon. The calculation employs two degenerate dynamical flavors of domain-wall fermions, resulting in good control of chiral symmetry breaking. Non-perturbative renormalization of the relevant quark currents is performed where necessary. The inverse lattice spacing, $a^{-1}$, is about 1.7 GeV. We use degenerate up and down dynamical quark masses around 1, 3/4 and 1/2 the strange quark mass. The physical volume of the lattice is about $(1.9fm{)}^3$. The ratio of the isovector vector to axial charges, $g_A/g_V$, trends a bit lower than the experimental value as the quark mass is reduced toward the physical point. We calculate the momentum-transfer dependences of the isovector vector, axial, induced tensor and induced pseudoscalar form factors. The Goldberger-Treiman relation holds at low momentum transfer and yields a pion-nucleon coupling, $g_{\pi NN}=15.5(1.4)$, where the quoted error is only statistical. We find that the flavor non-singlet quark momentum fraction $<x{>}_{u-d}$ and quark helicity fraction $<x{>}_{\Delta u-\Delta d}$ overshoot their experimental values after linear chiral extrapolation. We obtain the transversity, $<1{>}_{\delta u-\delta d}=0.93(6)$ in $\overline{\mathrm{MS}}$ at 2 GeV and a twist-3 polarized moment, $d_1$, appears small, suggesting that the Wandzura-Wilczek relation holds approximately. We discuss the systematic errors in the calculation, with particular attention paid to finite-volume effects, excited-state contamination, and chiral extrapolations.

28 pages in two columns; 37 figures, 12 tables

References in corpus (68)

• The Cosmological Parameters 2006
• Big-Bang nucleosynthesis (Particle Data Group mini-review)
• A Method for Simulating Chiral Fermions on the Lattice
• Chiral Fermions from Lattice Boundaries
• Improved Parton Distributions from Global Analysis of Recent Deep Inelastic Scattering and Inclusive Jet Data
• A General Method for Non-Perturbative Renormalization of Lattice Operators
• Axial symmetries in lattice QCD with Kaplan fermions
• Axial structure of the nucleon
• MRST2001: partons and alpha_S from precise deep inelastic scattering and Tevatron jet data
• Heavy Baryon Chiral Perturbation Theory with Light Deltas
• Nucleon Generalized Parton Distributions from Full Lattice QCD
• Next-to-Leading Order Radiative Parton Model Analysis of Polarized Deep Inelastic Scattering
• Spin Structure of the Proton from Polarized Inclusive Deep-Inelastic Muon-Proton Scattering
• Polarized Parton Distributions in the Nucleon
• Moments of Nucleon Generalized Parton Distributions in Lattice QCD
• Matching QCD and HQET heavy--light currents at two loops and beyond
• Generalized Parton Distributions from Lattice QCD
• Nucleon Form Factors in QCD
• Polarised Quark Distributions in the Nucleon from Semi-Inclusive Spin Asymmetries
• Nonperturbative Renormalisation of Composite Operators in Lattice QCD
• Flavor Decomposition of the Polarized Quark Distributions in the Nucleon from Inclusive and Semi-inclusive Deep-inelastic Scattering
• Chiral extrapolation of lattice moments of proton quark distributions
• Moments of Nucleon Light Cone Quark Distributions Calculated in Full Lattice QCD
• Polarized and Unpolarized Nucleon Structure Functions from Lattice QCD
• A Lattice Study of the Nucleon Excited States with Domain Wall Fermions
• I=2 pi-pi Scattering from Fully-Dynamical Mixed-Action Lattice QCD
• Nucleon electromagnetic form factors on the lattice and in chiral effective field theory
• Nucleon axial charge in 2+1 flavor dynamical lattice QCD with domain wall fermions
• 2+1 flavor domain wall QCD on a (2 fm)^3 lattice: light meson spectroscopy with Ls = 16
• Kaon Matrix Elements and CP-violation from Quenched Lattice QCD: (I) the 3-flavor case
• Induced pseudoscalar coupling of the proton weak interaction
• Non-perturbative Renormalisation of Domain Wall Fermions: Quark Bilinears
• Novel Quark Fragmentation Functions and the Nucleon's Transversity Distribution
• Renormalization group flow of SU(3) lattice gauge theory - Numerical studies in a two coupling space
• Axial coupling constant of the nucleon for two flavours of dynamical quarks in finite and infinite volume
• Proton Spin Structure from Lattice QCD
• The nucleon electromagnetic form factors from Lattice QCD
• Baryon Axial Charge in a Finite Volume
• Domain wall fermions with improved gauge actions
• Measurement of the Rate of Muon Capture in Hydrogen Gas and Determination of the Proton's Pseudoscalar Coupling $g_P$
• Is the Sullivan Process Compatible with QCD Chiral Dynamics?
• Lattice QCD with two dynamical flavors of domain wall quarks
• Nucleon axial charge from quenched lattice QCD with domain wall fermions
• $\pi NN$ and Pseudoscalar Form Factors from Lattice QCD
• A lattice determination of moments of unpolarised nucleon structure functions using improved Wilson fermions
• Axial Nucleon and Nucleon to Delta form fractors and the Goldberger-Treiman Relations from Lattice QCD
• Transverse Structure of Nucleon Parton Distributions from Lattice QCD
• Calculation of the neutron electric dipole moment with two dynamical flavors of domain wall fermions
• The nucleon axial-vector coupling beyond one loop
• Moments of Isovector Quark Distributions from Lattice QCD
• Radiative Muon Capture on Hydrogen and the Induced Pseudoscalar Coupling
• Non-perturbative Renormalization of Quark bilinears
• Electroweak Radiative Corrections to Muon Capture
• Nucleon Axial Form Factor from Lattice QCD
• Chiral extrapolation of g_A with explicit Delta(1232) degrees of freedom
• First results from 2+1-Flavor Domain Wall QCD: Mass Spectrum, Topology Change and Chiral Symmetry with $L_s=8$
• Chiral Corrections to Lattice Calculations of Charge Radii
• Ortho-para transition rate in $\mu$-molecular hydrogen and the proton's induced pseudoscalar coupling $g_p$
• Axial and tensor charge of the nucleon with dynamical fermions
• Nucleon structure functions with domain wall fermions
• Matrix Elements of Twist-2 Operators in Quenched Chiral Perturbation Theory
• Nucleon structure with domain wall fermions
• B_K from Two-flavor Dynamical Domain Wall Fermions
• Probing Nucleon Structure on the Lattice
• Light quark masses from Domain Wall Fermions
• Structure functions near the chiral limit
• Understanding nucleon structure using lattice simulations
• Spin on the lattice

Cited by in corpus (58)

• FLAG Review 2019
• FLAG Review 2021
• QCD and strongly coupled gauge theories: challenges and perspectives
• Baryons as relativistic three-quark bound states
• Probing Novel Scalar and Tensor Interactions from (Ultra)Cold Neutrons to the LHC
• Nucleon structure from mixed action calculations using 2+1 flavors of asqtad sea and domain wall valence fermions
• Parton distributions and lattice QCD calculations: a community white paper
• Probing exotic phenomena at the interface of nuclear and particle physics with the electric dipole moments of diamagnetic atoms: A unique window to hadronic and semi-leptonic CP violation
• QCD Analysis of the Polarized World Data
• QCD Analysis of Polarized Deep Inelastic Scattering Data
• Standard Model anatomy of WIMP dark matter direct detection II: QCD analysis and hadronic matrix elements
• Isovector Charges of the Nucleon from 2+1+1-flavor Lattice QCD
• The nucleon axial charge from lattice QCD with controlled errors
• From quarks to nucleons in dark matter direct detection
• Iso-vector and Iso-scalar Tensor Charges of the Nucleon from Lattice QCD
• Nucleon Charges and Electromagnetic Form Factors from 2+1+1-Flavor Lattice QCD
• Nucleon isovector couplings from $N_f=2$ lattice QCD
• Axial Vector Form Factors of the Nucleon from Lattice QCD
• Nucleon isovector structure functions in (2+1)-flavor QCD with domain wall fermions
• Nucleon electromagnetic form factors from lattice QCD using a nearly physical pion mass
• Nucleon Electromagnetic Form Factors from Lattice QCD using 2+1 Flavor Domain Wall Fermions on Fine Lattices and Chiral Perturbation Theory
• Nucleon axial structure from lattice QCD
• Nucleon Structure from Lattice QCD Using a Nearly Physical Pion Mass
• FLAG Review 2024
• Nucleon electromagnetic form factors in two-flavour QCD
• Magnetic form factors of the octet baryons from lattice QCD and chiral extrapolation
• Variational Approach to the Calculation of gA
• The Role of Lattice QCD in Searches for Violations of Fundamental Symmetries and Signals for New Physics
• Lattice study of flavor SU(3) breaking in hyperon beta decay
• Electric form factors of the octet baryons from lattice QCD and chiral extrapolation
• Dispersion relation analysis of the radiative corrections to $g_A$ in the neutron $\beta$-decay
• Strange Baryon Electromagnetic Form Factors and SU(3) Flavor Symmetry Breaking
• Quark tensor charge and electric dipole moment within the Schwinger-Dyson formalism
• Baryon Masses and Axial Couplings in the Combined 1/Nc and Chiral Expansions
• Time Dependence of Nucleon Correlation Functions in Chiral Perturbation Theory
• Radiative corrections to semileptonic beta decays: Progress and challenges
• Drell-Yan double-spin asymmetry A_{LT} in polarized p\bar{p} collisions: Wandzura-Wilczek contribution
• Quark scalar, axial, and pseudoscalar charges in the Schwinger-Dyson formalism
• Form factors in lattice QCD
• The Dichotomous Nucleon: Some Radical Conjectures for the Large Nc Limit
• Axial charges of the nucleon and N* resonances
• Nucleon mass and isovector couplings in 2+1-flavor dynamical domain-wall lattice QCD near physical mass
• Chiral Effective Theory Methods and their Application to the Structure of Hadrons from Lattice QCD
• Lattice QCD for Precision Nucleon Matrix Elements
• Baryon Chiral Perturbation Theory combined with the $1/{\mathbf{N}}_{\mathbf{c}}$ Expansion in SU(3) I: Framework
• Nucleon structure with dynamical (2+1)-flavor domain wall fermions lattice QCD
• Lattice Investigations of Nucleon Structure at Light Quark Masses
• Axial transition form factors of octet baryons in the perturbative chiral quark model
• Can the nucleon axial charge be O(Nc^0)?
• The contributions of $qqqq\bar{q}$ components to the axial charges of proton and its resonances
• Investigations of hadron structure on the lattice
• Status of Average-x from Lattice QCD
• Nucleon structure from 2+1-flavor dynamical DWF ensembles
• Some nucleon isovector observables from 2+1-flavor domain-wall QCD at the physical pion mass
• New Physics Searches from Nucleon Matrix Elements in Lattice QCD
• Finite-size scaling in nucleon axial charge from 2+1-flavor DWF lattice QCD
• Hadron Structure on the Lattice
• Nuclear Muon Capture in Hydrogen and its Interplay with Muon Atomic Physics