Up, down, and strange nucleon axial form factors from lattice QCD

Abstract

We report a calculation of the nucleon axial form factors $G_A^q(Q^2)$ and $G_P^q(Q^2)$ for all three light quark flavors $q\in \{u,d,s\}$ in the range $0\le Q^2\lesssim 1.2{\text{ GeV}}^2$ using lattice QCD. This work was done using a single ensemble with pion mass 317 MeV and made use of the hierarchical probing technique to efficiently evaluate the required disconnected loops. We perform nonperturbative renormalization of the axial current, including a nonperturbative treatment of the mixing between light and strange currents due to the singlet-nonsinglet difference caused by the axial anomaly. The form factor shapes are fit using the model-independent $z$ expansion. From $G_A^q(Q^2)$, we determine the quark contributions to the nucleon spin and axial radii. By extrapolating the isovector $G_P^{u-d}(Q^2)$, we obtain the induced pseudoscalar coupling relevant for ordinary muon capture and the pion-nucleon coupling constant. We find that the disconnected contributions to $G_P$ form factors are large, and give an interpretation based on the dominant influence of the pseudoscalar poles in these form factors.

29 pages, 17 figures. v2: additional comparison with phenomenology and discussion of systematics; new appendix with fit parameters

References in corpus (12)

• Extraction of Spin-Dependent Parton Densities and Their Uncertainties
• A first unbiased global determination of polarized PDFs and their uncertainties
• On the running coupling constant in QCD
• Precision calculation of the pi^- deuteron scattering length and its impact on threshold pi-N scattering
• Nucleon electromagnetic form factors from lattice QCD using a nearly physical pion mass
• Small-$x$ asymptotics of the quark helicity distribution
• Octet-baryon axial-vector charges and SU(3)-breaking effects in the semileptonic hyperon decays
• Measurement of Muon Capture on the Proton to 1% Precision and Determination of the Pseudoscalar Coupling g_P
• Two-loop renormalization of vector, axial-vector and tensor fermion bilinears on the lattice
• Singlet vs Nonsinglet Perturbative Renormalization of Fermion Bilinears
• Three loop anomalous dimensions of higher moments of the non-singlet twist-2 Wilson and transversity operators in the MSbar and RI' schemes
• A novel approach to nonperturbative renormalization of singlet and nonsinglet lattice operators

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