  Charged-current neutrino-nucleus cross sections for 54,56Fe and 58,60Ni are
calculated and compared using frameworks based on relativistic and Skyrme
energy density functionals, and the shell model. The current theoretical
uncertainties in modeling neutrino-nucleus cross sections are assessed in
relation to the predicted Gamow-Teller transition strength and available data,
multipole decomposition of the cross sections, and cross sections averaged over
the Michel flux and Fermi-Dirac distribution. Employing different microscopic
approaches and models, the DAR neutrino-56Fe cross section and its theoretical
uncertainty are estimated: <sigma>_th=(258+-57) 10^{-42} cm^2, in very good
agreement with the experimental value: <sigma>_exp=(256+-108+-43) 10^{-42}
cm^2.
