Neutrino inelastic scattering off nuclei

We present a detailed description of high-energy neutrino and antineutrino inelastic scattering off nuclei in terms of nuclear structure functions. In our approach we take into account a QCD description of the nucleon structure functions as well as a number of basic nuclear effects including nuclear shadowing, Fermi motion and binding, nuclear pion excess and off-shell correction to bound nucleon structure functions, which proved to be important in the former studies of charged-lepton deep inelastic scattering. We discuss similarities and differences in the calculation of nuclear effects for charged-lepton and neutrino scattering. Particular attention is payed to discussion of the role of partially conserved axial current in neutrino scattering. The approach was applied to examine the Adler and the Gross--Llewellyn-Smith sum rules for nuclear structure functions and we found a cancellation between different nuclear effects in these sum rules. The structure functions and the differential cross sections are calculated for neutrino and antineutrino scattering and compared with recent data on different target materials