On the axial-vector form factor of the nucleon and chiral symmetry

Abstract

We consider the chiral Lagrangian with nucleon, isobar, and pion degrees of freedom. The baryon masses and the axial-vector form factor of the nucleon are derived at the one-loop level. We explore the impact of using on-shell baryon masses in the loop expressions. As compared to results from conventional chiral perturbation theory we find significant differences. An application to QCD lattice data is presented. We perform a global fit to the available lattice data sets for the baryon masses and the nucleon axial-vector form factor, and determine the low-energy constants relevant at N${}^3$LO for the baryon masses and at N${}^2$LO for the form factor. Partial finite-volume effects are considered. We point out that the use of on-shell masses in the loops results in non-analytic behavior of the baryon masses and the form factor as function of the pion mass, which becomes prominent for larger lattice volumes than presently used.

arXiv comment39 pages, 9 figures

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Cited by in corpus (12)

• Octet baryon isovector charges from $N_f=2+1$ lattice QCD
• Leading order mesonic and baryonic SU(3) low energy constants from $N_f=3$ lattice QCD
• Axial and pseudoscalar form factors from charged current quasielastic neutrino-nucleon scattering
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• The chiral Lagrangian with three flavors and large-Nc sum rules
• Chiral perturbation theory
• The axial-vector form factor of the nucleon in a finite box