Longitudinal kinematic imbalances in (anti-)neutrino interactions for improved measurements of nuclear removal energies and the axial vector form factor

Current and future accelerator neutrino oscillation experiments require an improved understanding of nuclear effects in neutrino-nucleus interactions. One important systematic uncertainty is given by potential mismodeling of the removal energy, which biases the reconstruction of the neutrino energy. In this manuscript, we introduce a novel observable for accelerator neutrino oscillation experiments, the visible longitudinal momentum imbalance, reconstructed in charged current quasi-elastic interactions from the outgoing charged lepton and nucleon. Minimally dependent on the neutrino energy and directly sensitive to the removal energy distribution, we demonstrate a method to constrain the latter. Further, we show how the use of the longitudinal imbalance in anti-neutrino interactions in a target containing hydrogen allows for an improved, high-purity selection of the interactions on hydrogen. This approach offers the potential for precise measurements of the nuclear axial vector form factor as well as of the anti-neutrino flux.
Comment: 9 pages, 9 figures