Low-$\nu$ Flux and Total Charged-current Cross Sections in MINERvA

The MINER$\nu$A experiment measures neutrino and antineutrino interaction cross sections on carbon and other nuclei. Cross section measurements require accurate knowledge of the incident neutrino flux. The ``low-$\nu$'' flux technique uses a standard-candle cross section for events with low energy transfer to to the hadronic system to determine the incident flux. MINER$\nu$A will use low-$\nu$ fluxes for neutrinos and antineutrinos to tune production models used in beam simulations and to extract total cross sections as a function of energy. We present the low-$\nu$ flux technique adapted for the MINER$\nu$A data samples and preliminary results for the extracted low-$\nu$ fluxes in MINER$\nu$A. MINER$\nu$A will extend the range of antineutino charged-current cross section measurements to lower energies which are of interest to future accelerator oscillation experiments.