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Nucleon axial-vector form factor and radius from radiatively corrected antineutrino scattering data

Oleksandr Tomalak1,2, Aaron S. Meyer3, Clarence Wret4, Tejin Cai5,6, Richard J. Hill7,8, and Kevin S. McFarland5

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Phys. Rev. D 113, 073004 – Published 7 April, 2026

DOI: https://doi.org/10.1103/f62h-lh82

Abstract

The nucleon axial-vector form factor, GA, is critical to determine the electroweak interactions of leptons with nucleons. Important examples of processes influenced by GA are elastic (anti)neutrino-nucleon scattering and muon capture by the proton. Sparse experimental data results in a large uncertainty on the momentum dependence of GA and has motivated the consideration of new experimental probes and first-principles lattice quantum chromodynamics (QCD) evaluations. The comparison of new and precise theoretical predictions for GA with future experimental data necessitates the application of radiative corrections to experimentally observable processes. We apply these corrections in the extraction of GA and the associated axial-vector radius from the recent MINERvA antineutrino-hydrogen data, compare the effects from radiative corrections to other uncertainties in neutrino scattering experiments, and discuss the comparison of lattice QCD evaluations to experimental measurements.

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Phys. Rev. D 113, 073004– Published 7 April, 2026
  • Received 10 February 2026
  • Accepted 16 March 2026
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