  MINERvA reports inclusive charged-current cross sections for muon neutrinos
on hydrocarbon in the NuMI beamline. We measured the double-differential cross
section in terms of the longitudinal and transverse muon momenta, as well as
the single-differential cross sections in those variables. The data used in
this analysis correspond to an exposure of $3.34 \times 10^{20}$ protons on
target with a peak neutrino energy of approximately 3.5 GeV. Measurements are
compared to the GENIE, NuWro and GiBUU neutrino cross-section predictions, as
well as a version of GENIE modified to produce better agreement with prior
exclusive MINERvA measurements. None of the models or variants were able to
successfully reproduce the data across the entire phase space, which includes
areas dominated by each interaction channel.
