High-energy nuclear scattering of neutrinos

We study the energy dependence of the total and diffractive neutrino-nucleon and neutrino-nucleus cross sections at very high energies. The calculation employs the QCD dipole model and the small-$x$ nonlinear Balitsky-Kovchegov evolution. We show the sensitivity of the nuclear effect quantification on the nuclear setup, and predict up to $\sim 10\mathrm{\%}$ nuclear suppression in the inclusive neutrino-oxygen scattering stemming from the nonlinear evolution. Diffractive contribution to the total scattering is small, which is only few percentage. The $\mid q\bar{q}g>$ componnent of the $W^{\pm }$ boson is found to contribute significantly to the diffractive process, which reaches up to $\sim 40\mathrm{\%}$ of the diffractive cross section.