  Proper interpretation of past, current, and future data on lepton-nucleus
reactions requires a clear separation between quantum electrodynamics (QED) and
strong interaction effects inside the nucleus. First studies of QED in-medium
lepton dynamics have set a theoretical framework to derive electron-nucleus and
(anti)neutrino-nucleus cross-section corrections. We employ this approach to
quantitatively compute the effects of Glauber photon-mediated multiple
re-scattering within the nuclear medium. We find that the relativistic charged
lepton acquires momentum of order $10~\mathrm{MeV}$ transverse to its direction
of propagation inside the nucleus. This broadening sizably deflects expected
electron tracks and suppresses scattering cross sections. Precise extraction of
the nucleon and nuclear structure by electron and muon probes should, thus,
take the QED nuclear medium angular redistribution of particles into account.
Our results further show that the associated effects in (anti)neutrino-nucleus
scattering with measured final-lepton energy are significant only at the
kinematical endpoints.
