It is shown that in ultrahigh-energy inelastic neutrino-nucleon(nucleus) scattering the cross sections for the boson-hadron(nucleus) reactions should exhibit geometric scaling on the single variable ${\tau }_A=Q^2/Q_{\mathrm{sat},\mathrm{A}}^2$. The dependence on energy and atomic number of the charged/neutral current cross sections are encoded in the saturation momentum $Q_{\mathrm{sat},\mathrm{A}}$. This fact allows an analytical computation of the neutrino scattering on nucleon/nucleus at high energies, providing a theoretical parameterization based on the scaling property.

• Received 10 March 2005

DOI:https://doi.org/10.1103/PhysRevD.71.114009