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.
Tomalak, Oleksandr, Meyer, Aaron S., Wret, Clarence, Cai, Tejin, Hill, Richard J., & McFarland, Kevin S. (2026). Nucleon axial-vector form factor and radius from radiatively corrected antineutrino scattering data. Physical Review. D., 113(7). https://doi.org/10.1103/f62h-lh82
@article{osti_3016029,
author = {Tomalak, Oleksandr and Meyer, Aaron S. and Wret, Clarence and Cai, Tejin and Hill, Richard J. and McFarland, Kevin S.},
title = {Nucleon axial-vector form factor and radius from radiatively corrected antineutrino scattering data},
annote = {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.},
doi = {10.1103/f62h-lh82},
url = {https://www.osti.gov/biblio/3016029},
journal = {Physical Review. D.},
issn = {ISSN 2470-0010},
number = {7},
volume = {113},
place = {United States},
publisher = {American Physical Society (APS)},
year = {2026},
month = {04}}
Fermi National Accelerator Laboratory (FNAL), Batavia, IL (United States); Lawrence Livermore National Laboratory (LLNL), Livermore, CA (United States); Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)
Sponsoring Organization:
USDOE Laboratory Directed Research and Development (LDRD) Program; USDOE National Nuclear Security Administration (NNSA); USDOE Office of Science (SC), High Energy Physics (HEP)