A percent-level determination of the nucleon axial coupling from Quantum Chromodynamics

Abstract

The $\text{axial coupling of the nucleon}$, $g_A$, is the strength of its coupling to the $\text{weak}$ axial current of the Standard Model of particle physics, in much the same way as the electric charge is the strength of the coupling to the electromagnetic current. This axial coupling dictates the rate at which neutrons decay to protons, the strength of the attractive long-range force between nucleons and other features of nuclear physics. Precision tests of the Standard Model in nuclear environments require a quantitative understanding of nuclear physics rooted in Quantum Chromodynamics, a pillar of the Standard Model. The prominence of $g_A$ makes it a benchmark quantity to determine theoretically - a difficult task because quantum chromodynamics is non-perturbative, precluding known analytical methods. Lattice Quantum Chromodynamics provides a rigorous, non-perturbative definition of quantum chromodynamics that can be implemented numerically. It has been estimated that a precision of two percent would be possible by 2020 if two challenges are overcome: contamination of $g_A$ from excited states must be controlled in the calculations and statistical precision must be improved markedly. Here we report a calculation of $g_A^{QCD}=1.271\pm 0.013$, using an unconventional method inspired by the Feynman-Hellmann theorem that overcomes these challenges.

arXiv commentPublished in Nature. 46 pages total: Main text 4 pages, Extended Data 8 pages, Supplemental 34 pages. Supporting data and code at https://github.com/callat-qcd/project_gA or https://zenodo.org/record/1241374

References in corpus (53)

• On the Viability of Lattice Perturbation Theory
• Exact chiral symmetry on the lattice and the Ginsparg-Wilson relation
• Chiral Fermions from Lattice Boundaries
• Ab-initio Determination of Light Hadron Masses
• Axial symmetries in lattice QCD with Kaplan fermions
• Solving Lattice QCD systems of equations using mixed precision solvers on GPUs
• Highly Improved Staggered Quarks on the Lattice, with Applications to Charm Physics
• Ab initio calculation of the neutron-proton mass difference
• High-precision scale setting in lattice QCD
• Weak transition matrix elements from finite-volume correlation functions
• Lattice QCD ensembles with four flavors of highly improved staggered quarks
• Baryon-Pion Couplings from Large-N QCD
• Parton distributions and lattice QCD calculations: a community white paper
• Renormalization of quark bilinear operators in a momentum-subtraction scheme with a nonexceptional subtraction point
• Light hadron spectroscopy using domain wall valence quarks on an Asqtad sea
• Precision Measurements and CKM Unitarity
• Determination of the Weak Axial Vector Coupling from a Measurement of the Beta-Asymmetry Parameter A in Neutron Beta Decay
• Axial, Scalar and Tensor Charges of the Nucleon from 2+1+1-flavor Lattice QCD
• The nucleon axial charge in full lattice QCD
• Right-handed charged currents in the era of the Large Hadron Collider
• The nucleon axial charge from lattice QCD with controlled errors
• Baryon Hyperfine Mass Splittings in Large N QCD
• Nucleon isovector couplings from $N_f=2$ lattice QCD
• Scaling Lattice QCD beyond 100 GPUs
• Nucleon and pion structure with lattice QCD simulations at physical value of the pion mass
• Nucleon axial form factors using lattice QCD simulations with a physical value of the pion mass
• Chiral Perturbation Theory for Staggered Sea Quarks and Ginsparg-Wilson Valence Quarks
• Chiral Corrections to Matrix Elements of Twist-2 Operators
• Precision Measurement of the Neutron Beta-Decay Asymmetry
• Leptonic Decays of Charged Pseudoscalar Mesons - 2013
• Problems in Lattice Gauge Fixing
• Quark mass dependence of the nucleon axial-vector coupling constant
• Group-theoretical construction of extended baryon operators in lattice QCD
• Baryon Axial Charge in a Finite Volume
• Mobius Fermions: Improved Domain Wall Chiral Fermions
• Nucleons in Two-Flavor Partially-Quenched Chiral Perturbation Theory
• Nucleon axial charge and pion decay constant from two-flavor lattice QCD
• On the Feynman-Hellmann Theorem in Quantum Field Theory and the Calculation of Matrix Elements
• The nucleon axial-vector coupling beyond one loop
• Two Meson Systems with Ginsparg-Wilson Valence Quarks
• Baryons with Ginsparg-Wilson quarks in a staggered sea
• Disconnected contributions to the spin of the nucleon
• Measurement of the Proton Asymmetry Parameter C in Neutron Beta Decay
• Mixed Meson Masses with Domain-Wall Valence and Staggered Sea Fermions
• An accurate calculation of the nucleon axial charge with lattice QCD
• Mixed Action Effective Field Theory: an Addendum
• Baryon Masses and Axial Couplings in the Combined 1/Nc and Chiral Expansions
• Evidence for non-analytic light quark mass dependence in the baryon spectrum
• Möbius domain-wall fermions on gradient-flowed dynamical HISQ ensembles
• Delocalization of the axial charge in the chiral limit
• Continuous smearing of Wilson Loops
• Mixed Action Lattice Spacing Effects on the Nucleon Axial Charge
• Baryons in/and Lattice QCD

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• Design of the Magnet System of the Neutron Decay Facility PERC
• Sterile neutrinos with non-standard interactions in $\beta$- and $0\nu \beta \beta$-decay experiments
• Excited states in nucleon structure calculations
• Neutron Dark Decay
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• Constraints on subleading interactions in beta decay Lagrangian
• Effective-field-theory predictions of the muon-deuteron capture rate
• Pion-nucleon scattering to $\mathcal{O}(p^3)$ in heavy baryon SU(3) chiral perturbation theory
• Alpha-alpha scattering in the Multiverse
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• Weak Neutral Current Axial Form Factor Using $(\bar{\nu })\nu$-Nucleon Scattering and Lattice QCD Inputs
• Nucleon mass and isovector couplings in 2+1-flavor dynamical domain-wall lattice QCD near physical mass
• Subleading contributions to the nuclear scalar isoscalar currents
• Simulating the weak death of the neutron in a femtoscale universe with near-Exascale computing
• Opportunities and open questions in modern $\beta$ decay
• Nucleon electroweak form factors using spin-improved holographic light-front wavefunctions
• Probing Dark Sectors with Neutron Stars
• Detailed analysis of excited state systematics in a lattice QCD calculation of $g_A$
• Nucleon Mass with Highly Improved Staggered Quarks
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• Light-quark mass dependence of the nucleon axial charge and pion-nucleon scattering phenomenology
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