Nucleon isovector couplings from $N_f=2$ lattice QCD

Abstract

We compute the axial, scalar, tensor and pseudoscalar isovector couplings of the nucleon as well as the induced tensor and pseudoscalar charges in lattice simulations with $N_f=2$ mass-degenerate non-perturbatively improved Wilson-Sheikholeslami-Wohlert fermions. The simulations are carried out down to a pion mass of 150 MeV and linear spatial lattice extents of up to 4.6 fm at three different lattice spacings ranging from approximately 0.08 fm to 0.06 fm. Possible excited state contamination is carefully investigated and finite volume effects are studied. The couplings, determined at these lattice spacings, are extrapolated to the physical pion mass. In this limit we find agreement with experimental results, where these exist, with the exception of the magnetic moment. A proper continuum limit could not be performed, due to our limited range of lattice constants, but no significant lattice spacing dependence is detected. Upper limits on discretization effects are estimated and these dominate the error budget.

arXiv comment22 pages, 31 Figures, v2: comparison with summation method added, minor typos corrected, legibility of figures improved, references added/updated

References in corpus (68)

• Chiral Dynamics in Nucleons and Nuclei
• The Chroma Software System for Lattice QCD
• ππscattering
• A General Method for Non-Perturbative Renormalization of Lattice Operators
• QCD and strongly coupled gauge theories: challenges and perspectives
• Axial structure of the nucleon
• Extended Partial-Wave Analysis of piN Scattering Data
• Observation of String Breaking in QCD
• Pion-nucleon scattering in chiral perturbation theory I: Isospin-symmetric case
• Heavy Baryon Chiral Perturbation Theory with Light Deltas
• 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
• The strange quark mass and Lambda parameter of two flavor QCD
• Finite volume effects for meson masses and decay constants
• Further results on O(a) improved lattice QCD to one-loop order of perturbation theory
• Beta Decays and Non-Standard Interactions in the LHC Era
• The form factors of the nucleon at small momentum transfer
• Spin Structure of the Nucleon - Status and Recent Results
• The pion mass in finite volume
• The nucleon axial charge from lattice QCD with controlled errors
• Precision calculation of threshold pi^- d scattering, pi N scattering lengths, and the GMO sum rule
• Gauge-Invariant Smearing and Matrix Correlators using Wilson Fermions at beta=6.2
• Nucleon Charges and Electromagnetic Form Factors from 2+1+1-Flavor Lattice QCD
• Nucleon form factors with 2+1 flavor dynamical domain-wall fermions
• Nucleon electromagnetic form factors on the lattice and in chiral effective field theory
• Nucleon form factors and moments of generalized parton distributions using $N_f=2+1+1$ twisted mass fermions
• Improved description of the $\pi N$-scattering phenomenology in covariant baryon chiral perturbation theory
• Nucleon mass and sigma term from lattice QCD with two light fermion flavors
• Determination of the pion-nucleon coupling constant and scattering lengths
• Axial Nucleon form factors 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
• QCD Accurately Predicts the Induced Pseudoscalar Coupling Constant
• Axial, induced pseudoscalar, and pion-nucleon form factors in manifestly Lorentz-invariant chiral perturbation theory
• Axial coupling constant of the nucleon for two flavours of dynamical quarks in finite and infinite volume
• Renormalisation and off-shell improvement in lattice perturbation theory
• Nucleon mass: from lattice QCD to the chiral limit
• Quark mass dependence of the nucleon axial-vector coupling constant
• Baryon Axial Charge in a Finite Volume
• Nucleon Electromagnetic Form Factors from Lattice QCD using 2+1 Flavor Domain Wall Fermions on Fine Lattices and Chiral Perturbation Theory
• Isospin breaking in the nucleon mass and the sensitivity of beta decays to new physics
• Nucleon Structure from Lattice QCD Using a Nearly Physical Pion Mass
• Nucleon Scalar and Tensor Charges from Lattice QCD with Light Wilson Quarks
• Perturbative and Nonperturbative Renormalization in Lattice QCD
• Nucleon electromagnetic form factors in twisted mass lattice QCD
• Nucleon structure with two flavors of dynamical domain-wall fermions
• Muon capture by a proton in heavy baryon chiral perturbation theory
• Nucleon axial charge and pion decay constant from two-flavor lattice QCD
• Measurement of Muon Capture on the Proton to 1% Precision and Determination of the Pseudoscalar Coupling g_P
• Magnetic form factors of the octet baryons from lattice QCD and chiral extrapolation
• Neutron Beta-Decay as Laboratory for Test of Standard Model
• Moments of Isovector Quark Distributions from Lattice QCD
• Variational Approach to the Calculation of gA
• Non-perturbative improvement of the axial current for dynamical Wilson fermions
• Dirac and Pauli form factors from lattice QCD
• The moment $⟨x{⟩}_{u-d}$ of the nucleon from $N_f=2$ lattice QCD down to nearly physical quark masses
• On cutoff effects in lattice QCD from short to long distances
• Precision Study of Excited State Effects in Nucleon Matrix Elements
• Signatures of chiral dynamics in the Nucleon to Delta transition
• Perturbative calculation of improvement coefficients to O(g^2a) for bilinear quark operators in lattice QCD
• Non-perturbative improvement of quark mass renormalization in two-flavour lattice QCD
• Pole positions and residues from pion photoproduction using the Laurent+Pietarinen expansion method
• Pion electroproduction, PCAC, chiral Ward identities, and the axial form factor revisited
• A Stochastic Method for Computing Hadronic Matrix Elements
• Improved Semileptonic Form Factor Calculations in Lattice QCD
• Hadron Structure from Lattice QCD
• Hadron Physics and Lattice QCD
• Nucleon and Pion Form Factors from $N_f=2+1$ Anisotropic Lattices

Cited by in corpus (97)

• FLAG Review 2019
• FLAG Review 2021
• Baryons as relativistic three-quark bound states
• Parton distributions and lattice QCD calculations: a community white paper
• Extraction of Quark Transversity Distribution and Collins Fragmentation Functions with QCD Evolution
• A percent-level determination of the nucleon axial coupling from Quantum Chromodynamics
• Novel quark smearing for hadrons with high momenta in lattice QCD
• Parton distributions and lattice QCD calculations: toward 3D structure
• 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
• Axial, Scalar and Tensor Charges of the Nucleon from 2+1+1-flavor Lattice QCD
• Isovector Charges of the Nucleon from 2+1+1-flavor Lattice QCD
• Neutron Electric Dipole Moment and Tensor Charges from Lattice QCD
• From quarks to nucleons in dark matter direct detection
• Iso-vector and Iso-scalar Tensor Charges of the Nucleon from Lattice QCD
• Axial Vector Form Factors of the Nucleon from Lattice QCD
• Nucleon and pion structure with lattice QCD simulations at physical value of the pion mass
• Pion distribution amplitude from Euclidean correlation functions: Exploring universality and higher-twist effects
• Axial Vector Form Factors from Lattice QCD that Satisfy the PCAC Relation
• Nucleon axial form factors using lattice QCD simulations with a physical value of the pion mass
• Masses and decay constants of the $D_{s0}^{\ast }(2317)$ and $D_{s1}(2460)$ from $N_f=2$ lattice QCD close to the physical point
• First Monte Carlo global analysis of nucleon transversity with lattice QCD constraints
• Nucleon charges with dynamical overlap fermions
• Direct determinations of the nucleon and pion $\sigma$ terms at nearly physical quark masses
• Global Effective-Field-Theory analysis of New-Physics effects in (semi)leptonic kaon decays
• $\rho$ and $K^{\ast }$ resonances on the lattice at nearly physical quark masses and $N_f=2$
• Nucleon axial structure from lattice QCD
• FLAG Review 2024
• Iso-vector axial form factors of the nucleon in two-flavour lattice QCD
• Nucleon structure from basis light-front quantization
• 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
• Adaptive Aggregation-based Domain Decomposition Multigrid for Twisted Mass Fermions
• High-precision calculation of the strange nucleon electromagnetic form factors
• Pion distribution amplitude from Euclidean correlation functions
• Beyond-Standard-Model Tensor Interaction and Hadron Phenomenology
• Quark propagator with two flavors of O(a)-improved Wilson fermions
• Nucleon axial, scalar, and tensor charges using lattice QCD at the physical pion mass
• The Role of Lattice QCD in Searches for Violations of Fundamental Symmetries and Signals for New Physics
• Isovector charges of the nucleon from 2+1-flavor QCD with clover fermions
• Lattice QCD and Neutrino-Nucleus Scattering
• Controlling Excited-State Contamination in Nucleon Matrix Elements
• Status of Lattice QCD Determination of Nucleon Form Factors and their Relevance for the Few-GeV Neutrino Program
• Solving the PCAC puzzle for nucleon axial and pseudoscalar form factors
• Unveiling the nucleon tensor charge at Jefferson Lab: A study of the SoLID case
• Non-standard semileptonic hyperon decays
• Nucleon generalized form factors from two-flavor lattice QCD
• A Fixed-Target Programme at the LHC: Physics Case and Projected Performances for Heavy-Ion, Hadron, Spin and Astroparticle Studies
• Review of the electric dipole moment of light nuclei
• Dispersion relation analysis of the radiative corrections to $g_A$ in the neutron $\beta$-decay
• Nucleon-pion-state contribution in lattice calculations of the nucleon charges $g_A,g_T$ and $g_S$
• Proton tensor charges from a Poincaré-covariant Faddeev equation
• Lattice Calculation of Nucleon Isovector Axial Charge with Improved Currents
• Quark-gluon vertex from Nf=2 lattice QCD
• Stochastic method with low mode substitution for nucleon isovector matrix elements
• An accurate calculation of the nucleon axial charge with lattice QCD
• Where do we stand with a 3-D picture of the proton?
• Nucleon matrix elements using the variational method in lattice QCD
• Axial charges of hyperons and charmed baryons using $N_f=2+1+1$ twisted mass fermions
• Experimental constraint on quark electric dipole moments
• Transverse spin-dependent azimuthal correlations of charged pion pairs measured in p${}^{\uparrow }$+p collisions at $\sqrt{s}$ = 500 GeV
• Axial form factors of the octet baryons in a covariant quark model
• On the effect of excited states in lattice calculations of the nucleon axial charge
• Chiral perturbation theory and nucleon-pion-state contaminations in lattice QCD
• Electric dipole moment of ${}^{199}$Hg atom from P, CP-odd electron-nucleon interaction
• Nucleon matrix elements from lattice QCD with all-mode-averaging and a domain-decomposed solver: an exploratory study
• Accessing the nucleon transverse structure in inclusive deep inelastic scattering
• Distillation at High-Momentum
• Radiative corrections to semileptonic beta decays: Progress and challenges
• Toward $N$ to $N\pi$ matrix elements from lattice QCD
• On the axial-vector form factor of the nucleon and chiral symmetry
• Controlling Excited-State Contributions with Distillation in Lattice QCD Calculations of Nucleon Isovector Charges $g_S^{u-d}$, $g_A^{u-d}$, $g_T^{u-d}$
• Nucleon axial form factor from generalized parton distributions
• Nucleon isovector couplings in Nf = 2 + 1 lattice QCD at the physical point
• Leading order mesonic and baryonic SU(3) low energy constants from $N_f=3$ lattice QCD
• $N\pi$-states and the projection method for the nucleon axial and pseudoscalar form factors
• Nucleon-pion-state contribution in lattice calculations of moments of parton distribution functions
• Nuclear electric dipole moment in the cluster model with a triton: ${}^7$Li and ${}^{11}$B
• Constraining beyond the Standard Model nucleon isovector charges
• Holographic estimate of the meson cloud contribution to nucleon axial form factor
• Realistic estimate of valence transversity distributions from inclusive dihadron production
• Double parton distributions in the pion from lattice QCD
• Nucleon Mass with Highly Improved Staggered Quarks
• Detailed analysis of excited state systematics in a lattice QCD calculation of $g_A$
• Nucleon tensor form factors in a relativistic confined quark model
• Lattice-QCD Determination of the Hyperon Axial Couplings in the Continuum Limit
• Nucleon isovector scalar charge from overlap fermions
• Hadron Structure and Spectrum from the Lattice
• Nucleon Structure from Basis Light-Front Quantization : Status and Prospects
• Recent progress in hadron structure from Lattice QCD
• The Tensor and the Scalar Charges of the Nucleon from Hadron Phenomenology
• New Physics Searches from Nucleon Matrix Elements in Lattice QCD
• Non-perturbative renormalization of flavor singlet quark bilinear operators in lattice QCD
• Nucleon generalized form factors from lattice QCD with nearly physical quark masses
• The axial-vector form factor of the nucleon in a finite box
• The transversity parton distribution function of the nucleon using the pseudo-distribution approach
• Partially conserved axial vector current and applications
• Double Parton Distributions of the Pion