Nucleon Axial Form Factor for Neutrino Oscillation from Lattice QCD

Next generation neutrino oscillation experiments are poised to answer key questions about the nature of the neutrino. The axial form factor is a vital ingredient in the nucleon amplitudes used to predict quasielastic scattering, the primary signal measurement process for DUNE, yet the form factor uncertainty is vastly underestimated by the dipole parameterization and a model independent parameterization is not well constrained by elementary target data. Lattice QCD has the ability to make significant impact upon neutrino oscillation experiments by computing, from first principles, the interaction of a nucleon with a weak current in the absence of a nuclear medium. Results from these LQCD calculations can significantly reduce the uncertainty for nucleon amplitudes and assign a robust, systematically-improvable error budget. Recent calculations of the nucleon axial charge have demonstrated that sub-percent precision is possible on this vital quantity. In this talk, I will discuss preliminary results for the Callat collaboration's calculation of the axial form factor of the nucleon and outline the path toward achieving a result with a complete error budget. Results from LQCD will permit more complete factorization of uncertainties from nucleon and nuclear sources.