Analysis of flux-integrated cross sections for quasi-elastic neutrino charged-current scattering off 12C at energies available at the MiniBooNE experiment

Flux-averaged and flux-integrated cross sections for quasi-elastic neutrino charged-current scattering on nuclei are analyzed. It is shown that the flux-integrated differential cross sections are less dependent on nuclear models than the flux-averaged ones. We calculate these cross sections using the relativistic distorted-wave impulse approximation and relativistic Fermi gas model with the Booster Neutrino Beamline flux and compare the results with the recent MiniBooNE experimental data. Within these models an axial mass MA is extracted from a fit of the measured d sigma/dQ(2) cross section. The extracted value of M-A = 1.37 +/- 0.05 GeV/c(2) is consistent with the MiniBooNE result. While the measured and calculated double differential cross sections d sigma/dT d cos theta generally agree, the Fermi gas model predictions are typically lower than data at low muon energies and scattering angles.