Abstract
An expression is found for the propagator of a charged W-boson in the presence of an arbitrary flat-wave electromagnetic field. The W-boson contribution to the mass operator of a charged lepton moving in a constant external electromagnetic field is computed in the second order of perturbation theory in the Weinberg-Salam model. A closed expression is obtained for the vacuum W-boson contribution (independent of the external field) to the anomalous magnetic moment of a charged lepton.
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