  Future long-baseline neutrino experiments will measure neutrino oscillation
properties with unprecedented precision and will search for clear signatures of
CP violation in the leptonic sector. Near detectors can measure the
neutrino-electron scattering with high statistics, giving the chance for its
precise measurement. We study, in this work, the expectations for the
measurement of radiative corrections in this process. We focus on the
determination of contributions that are exclusive to the neutrino channels,
particularly on the neutrino charge radius. We illustrate how the perspectives
in a first clear measurement of this effective quantity are encouraging.
