[en] Effects related to particle polarization and the intensity of the external field are analyzed on the basis of the calculation of the probabilities for a number of processes occurring as the result of weak interactions in a constant external electromagnetic field, the effect of which is taken into account by use of the exact solutions of the relativistic quantum equations of motion of charged particles. The Weinberg-Salam theory is used to study neutrino emission by a lepton, the decay of a relativistic muon, and the emission of a neutral vector boson by a lepton. The method of analytic continuation is used for the first time to calculate the field corrections to the lepton mass and anomalous magnetic moment due to radiative effects involving massive neutral vector currents. It is shown that at ultrarelativistic energies the contributions to the lepton anomalous magnetic moment due to weak and electromagnetic processes can be of the same order of magnitude