Exact results in QED

Abstract

This review is devoted to exact calculations of cross sections of QED processes in relativistic approach. We consider the case when the velocity of final heavy particles are not particularly close to the speed of light. Especially the cases of muon radiative pair creation is considered. In frames of QED with pion form-factor we estimate the pion radiative pair creation. All leading terms are included in the frames of structure function approach. The annihilation of electron-positron to the hadronic final state with one additional tagged photon is considered. The radiative corrections are calculated and the numerical estimation is made. Target spin asymmetry and charge asymmetry are investigated for eμ scattering processes. Initial state radiation (returning to resonance) mechanism is investigated including radiative corrections to initial and final states. Possible method of experimental extraction of the ratio of electric and magnetic form-factors of proton is suggested for different processes in lepton proton scattering. Some useful algebraic relations and integrals are presented.