Radiative corrections to polarized inelastic scattering in the coincidence setup

We completely analyze the model-independent leading radiative corrections to the cross section and polarization observables in the semi-inclusive deep-inelastic electron-nucleus scattering with the detection of a proton and the scattered electron in coincidence. The calculations are based on representing the spin-independent and spin-dependent parts of the cross section in terms of the electron structure functions similarly to the Drell-Yan-like representation in electrodynamics. As the applications, we consider the polarization transfer effect from a longitudinally polarized electron beam to the detected proton and the scattering by a polarized target.