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Current and future accelerator neutrino oscillation experiments require animproved understanding of nuclear effects in neutrino-nucleus interactions. Oneimportant systematic uncertainty is given by potential mismodeling of theremoval energy, which biases the reconstruction of the neutrino energy. In thismanuscript, we introduce a novel observable for accelerator neutrinooscillation experiments, the visible longitudinal momentum imbalance,reconstructed in charged current quasi-elastic interactions from the outgoingcharged lepton and nucleon. Minimally dependent on the neutrino energy anddirectly sensitive to the removal energy distribution, we demonstrate a methodto constrain the latter. Further, we show how the use of the longitudinalimbalance in anti-neutrino interactions in a target containing hydrogen allowsfor an improved, high-purity selection of the interactions on hydrogen. Thisapproach offers the potential for precise measurements of the nuclear axialvector form factor as well as of the anti-neutrino flux.

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