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Neutrino charged-current quasielastic-like scattering, a reaction categoryextensively used in neutrino oscillation measurements, probes nuclear effectsthat govern neutrino-nucleus interactions. This Letter reports the firstmeasurement of the triple-differential cross section for $\nu_{\mu}$quasielastic-like reactions using the hydrocarbon medium of the MINERvAdetector exposed to a wide-band beam spanning 2 $\leq$ E$_\nu \leq$ 20 GeV. Themeasurement maps the correlations among transverse and longitudinal muonmomenta and summed proton kinetic energies, and compares them to predictionsfrom a state-of-art simulation. Discrepancies are observed that likely reflectshortfalls with modeling of pion and nucleon intranuclear scattering and/orspectator nucleon ejection from struck nuclei. The separate determination ofleptonic and hadronic variables can inform experimental approaches toneutrino-energy estimation.

Simultaneous measurement of proton and lepton kinematics in quasielastic-like $\nu_{\mu}$-hydrocarbon interactions from 2 to 20 GeV