The nucleon axial charge from lattice QCD with controlled errors

Abstract

We report on our calculation of the nucleon axial charge gA in QCD with two flavours of dynamical quarks. A detailed investigation of systematic errors is performed, with a particular focus on contributions from excited states to three-point correlation functions. The use of summed operator insertions allows for a much better control over such contamination. After performing a chiral extrapolation to the physical pion mass, we find gA=1.223 +/- 0.063 (stat) +0.035 -0.060 (syst), in good agreement with the experimental value.

6 pages, 5 figures, table and figure added, results and conclusions unchanged; version to appear in Physical Review D

References in corpus (6)

• Axial coupling constant of the nucleon for two flavours of dynamical quarks in finite and infinite volume
• Deflation acceleration of lattice QCD simulations
• Nucleon structure with two flavors of dynamical domain-wall fermions
• On cutoff effects in lattice QCD from short to long distances
• Hadron Structure and Form Factors
• Baryon Axial Charges and Momentum Fractions with N_f=2+1 Dynamical Fermions

Cited by in corpus (98)

• FLAG Review 2019
• FLAG Review 2021
• Parton distributions and lattice QCD calculations: a community white paper
• A percent-level determination of the nucleon axial coupling from Quantum Chromodynamics
• New physics searches in nuclear and neutron $\beta$ decay
• Axial, Scalar and Tensor Charges of the Nucleon from 2+1+1-flavor Lattice QCD
• Gluon gravitational form factors of the nucleon and the pion from lattice QCD
• Complete flavor decomposition of the spin and momentum fraction of the proton using lattice QCD simulations at physical pion mass
• Nucleon Charges and Electromagnetic Form Factors from 2+1+1-Flavor Lattice QCD
• Nucleon isovector couplings from $N_f=2$ lattice QCD
• Nucleon form factors and moments of generalized parton distributions using $N_f=2+1+1$ twisted mass fermions
• Nucleon and pion structure with lattice QCD simulations at physical value of the pion mass
• Proton and neutron electromagnetic form factors from lattice QCD
• The Spin Structure of the Nucleon
• Nucleon axial, tensor and scalar charges and $\sigma$-terms in lattice QCD
• Nucleon axial form factors using lattice QCD simulations with a physical value of the pion mass
• Strangeness and charmness content of nucleon from overlap fermions on 2+1-flavor domain-wall fermion configurations
• Nucleon electromagnetic form factors from lattice QCD using a nearly physical pion mass
• Pion generalized parton distribution from lattice QCD
• A new representation of the Adler function for lattice QCD
• Gravitational form factors of the proton from lattice QCD
• The nucleon mass and pion-nucleon sigma term from a chiral analysis of lattice QCD world data
• Nucleon axial structure from lattice QCD
• Moments of nucleon generalized parton distributions from lattice QCD simulations at physical pion mass
• Nucleon Structure from Lattice QCD Using a Nearly Physical Pion Mass
• Nucleons and parity doubling across the deconfinement transition
• FLAG Review 2024
• Iso-vector axial form factors of the nucleon in two-flavour lattice QCD
• Nucleon axial and pseudoscalar form factors from lattice QCD at the physical point
• Nucleon isovector charges and twist-2 matrix elements with $N_f=2+1$ dynamical Wilson quarks
• High-precision calculation of the strange nucleon electromagnetic form factors
• Octet-baryon axial-vector charges and SU(3)-breaking effects in the semileptonic hyperon decays
• Nucleon electromagnetic form factors in two-flavour QCD
• Nucleon axial charge and pion decay constant from two-flavor lattice QCD
• Variational Approach to the Calculation of gA
• The Role of Lattice QCD in Searches for Violations of Fundamental Symmetries and Signals for New Physics
• $N\pi$-state contamination in lattice calculations of the nucleon axial form factors
• Status of Lattice QCD Determination of Nucleon Form Factors and their Relevance for the Few-GeV Neutrino Program
• Isovector electromagnetic form factors of the nucleon from lattice QCD and the proton radius puzzle
• The moment $⟨x{⟩}_{u-d}$ of the nucleon from $N_f=2$ lattice QCD down to nearly physical quark masses
• Disconnected contributions to the spin of the nucleon
• Solving the PCAC puzzle for nucleon axial and pseudoscalar form factors
• A Feynman-Hellmann approach to the spin structure of hadrons
• Light Meson Form Factors at near Physical Masses
• Dispersion relation analysis of the radiative corrections to $g_A$ in the neutron $\beta$-decay
• Extraction of nucleon axial charge and radius from lattice QCD results using baryon chiral perturbation theory
• Precision lattice QCD computation of the $B^{\ast }B\pi$ coupling
• Flavor decomposition of the nucleon unpolarized, helicity and transversity parton distribution functions from lattice QCD simulations
• Nucleon-pion-state contribution in lattice calculations of the nucleon charges $g_A,g_T$ and $g_S$
• Stochastic method with low mode substitution for nucleon isovector matrix elements
• An accurate calculation of the nucleon axial charge with lattice QCD
• First moments of the nucleon transverse quark spin densities using lattice QCD
• Nucleon matrix elements using the variational method in lattice QCD
• Nucleon axial-vector and pseudoscalar form factors, and PCAC relations
• Nucleon scalar and tensor charges using lattice QCD simulations at the physical value of the pion mass
• Baryon Masses and Axial Couplings in the Combined 1/Nc and Chiral Expansions
• Model-independent determination of the nucleon charge radius from lattice QCD
• Chiral Corrections to Nucleon Two- and Three-Point Correlation Functions
• Chiral perturbation theory and nucleon-pion-state contaminations in lattice QCD
• Nucleon Sigma Terms with $N_f=2+1$ O($a$)-improved Wilson fermions
• Nucleon matrix elements from lattice QCD with all-mode-averaging and a domain-decomposed solver: an exploratory study
• Precision calculation of the electromagnetic radii of the proton and neutron from lattice QCD
• Radiative corrections to semileptonic beta decays: Progress and challenges
• Towards Unpolarized GPDs from Pseudo-Distributions
• A Stochastic Method for Computing Hadronic Matrix Elements
• Electromagnetic form factors of the nucleon from $N_f=2+1$ lattice QCD
• On the axial-vector form factor of the nucleon and chiral symmetry
• Improved interpolating fields for hadrons at non-zero momentum
• Non-singlet quark helicity PDFs of the nucleon from pseudo-distributions
• Chiral extrapolation of nucleon magnetic moments at next-to-leading-order
• Excited states in nucleon structure calculations
• Nucleon-pion-state contribution in lattice calculations of moments of parton distribution functions
• $N\pi$-state contamination in lattice calculations of the nucleon electromagnetic form factors
• The Shape of Covariantly Smeared Sources in Lattice QCD
• Towards fully non-perturbative computation of inelastic $\ell N$ scattering cross sections from lattice QCD
• Constraining beyond the Standard Model nucleon isovector charges
• Detailed analysis of excited state systematics in a lattice QCD calculation of $g_A$
• Hadron Structure from Lattice QCD
• Nucleon structure from lattice QCD - recent achievements and perspectives
• Review of Hadron Structure Calculations on a Lattice
• Quark spin content of SU(3) light and singly heavy baryons
• The electromagnetic form factor of the pion: Results from the lattice
• Can the nucleon axial charge be O(Nc^0)?
• Chiral extrapolation of nucleon axial charge $g_A$ in effective field theory
• Recent progress in hadron structure from Lattice QCD
• Moments of structure functions for $N_f=2$ near the physical point
• The nucleon mass and pion-nucleon sigma term from a chiral analysis of Nf = 2+1 lattice QCD world data
• Finite-size scaling in nucleon axial charge from 2+1-flavor DWF lattice QCD
• Status of nucleon structure calculations with 2+1 flavors of domain wall fermions
• The isoscalar octet axial form factor of the nucleon from lattice QCD
• Proton and neutron electromagnetic radii and magnetic moments from lattice QCD
• Improved interpolating fields for hadrons at non-vanishing momentum
• Connected and disconnected quark contributions to hadron spin
• Proton and neutron electromagnetic radii and magnetic moments from $N_f=2+1$ lattice QCD
• The transversity parton distribution function of the nucleon using the pseudo-distribution approach
• Towards High-Precision Parton Distributions From Lattice QCD via Distillation
• Partially conserved axial vector current and applications
• Flavor Physics and Lattice QCD