  Background: Good understanding of the cross sections for (anti)neutrino
scattering off nuclear targets in the few-GeV energy region is a prerequisite
for correct interpretation of results of ongoing and planned oscillation
experiments.
  Purpose: Clarify possible source of disagreement between recent measurements
of the cross sections on carbon.
  Method: Nuclear effects in (anti)neutrino scattering off carbon nucleus are
described using the spectral function approach. The effect of two- and
multi-nucleon final states is accounted for by applying an effective value of
the axial mass, fixed to 1.23 GeV. Neutral-current elastic (NCE) and
charged-current quasielastic (CCQE) processes are treated on equal footing.
  Results: The differential and total cross sections for the energy ranging
from a few hundreds of MeV to 100 GeV are obtained and compared to the
available data from the BNL E734, MiniBooNE, and NOMAD experiments.
  Conclusions: Nuclear effects in NCE and CCQE scattering seem to be very
similar. Within the spectral function approach, the axial mass from the shape
analysis of the MiniBooNE data is in good agreement with the results reported
by the BNL E734 and NOMAD Collaborations. However, the combined analysis of NCE
and CCQE data does not seem to support the contribution of multi-nucleon final
states being large enough to explain the normalization of the
MiniBooNE-reported cross sections.
