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Charged-current neutrino interactions with low hadronic recoil ("low-nu")have a cross-section that is approximately constant versus neutrino energy.These interactions have been used to measure the shape of neutrino fluxes as afunction of neutrino energy at accelerator-based neutrino experiments such asCCFR, NuTeV, MINOS and MINERvA. In this paper, we demonstrate that low-nuevents can be used to measure parameters of neutrino flux and detector modelsand that utilization of event distributions over the upstream detector face candiscriminate among parameters that affect the neutrino flux model. From fittinga large sample of low-nu events obtained by exposing MINERvA to the NuMImedium-energy beam, we find that the best-fit flux parameters are within theira priori uncertainties, but the energy scale of muons reconstructed in theMINOS detector is shifted by 3.6% (or 1.8 times the a priori uncertainty onthat parameter). These fit results are now used in all MINERvA cross-sectionmeasurements, and this technique can be applied by other experiments operatingat MINERvA energies, such as DUNE.

Use of Neutrino Scattering Events with Low Hadronic Recoil to Inform Neutrino Flux and Detector Energy Scale