Non-Perturbative Nuclear Correction for Deuterium to Improve Neutrino-Nucleus Axial Form Factor Precision

Of particular interest for probing the physics behind neutrinos is the neutrino-nucleus cross section. The

simplest example being the deuteron-neutrino scattering, with the deuteron breaking up into two protons,

which has been measured by multiple experimental groups.

A particularly large source of theoretical uncertainty to describe this process comes from the axial isovec-

tor nucleon form factor, which parametrizes the underlying structure of the nucleon participating in the

scattering.

Previous methods to describe the two-hadron break-up can be improved with a novel non-perturbative

model based on constraints from unitarity and analyticity. This exploratory work will implement this non-

perturbative model to demonstrate that it is capable of describing neutrino-deuteron scattering. Future work

will look at a comprehensive error budget including the precision of the axial form factor.