Phenomenology of Lepton-nucleus Dis

The results of recent phenomenological studies of unpolarized nuclear deep-inelastic scattering are discussed and applied to calculate neutrino charged-current structure functions and cross sections for a number of nuclei. Significant nuclear effects were discovered in charged-lepton (CL) deep-inelastic scattering (DIS) experiments (for a review see [1,2]). The experimental observations indicate that the nuclear environment plays an important role even at energies and momenta much larger than those involved in typical nuclear ground state processes. The study of nuclei is therefore directly related to the interpretation of high-energy experiments with nuclei from hadron colliders to fixed target experiments. The understanding of nuclear effects is particularly relevant for neutrino processes in which weak interaction with matter requires the use of heavy nuclear targets in order to collect significant number of interactions. Therefore a reliable treatment of nuclear effects is important for interpretation of neutrino experiments and in some cases crucial for reducing systematic uncertainty. In this paper we briefly review the results of recent studies of CL nuclear DIS of Ref.[3] and apply this approach to calculate the (anti)neutrino differential cross sections of charged-current (CC) interactions with nuclei. 2. Nuclear structure functions The theoretical background of the analysis of Ref.[3] involves the treatment of a few different mechanisms of nuclear effects which are characteristic for different kinematical regions. Summarizing , for the nuclear structure function of type a = 1, 2, 3 we have