Light--light scattering tensor and the anomalous magnetic moment of the muon

A general expression is obtained for the tensor that describes the effect of light--light scattering on the anomalous magnetic moment of leptons. An explicit expression is derived for the electron-loop contribution, for which an analytic evaluation is carried out of the coefficient in front of the logarithm of the ratio of the muon mass to the electron mass in the anomalous magnetic moment of the muon. Logarithmic contributions due to radiative corrections are shown to originate exclusively from the inclusion of the polarization of the vacuum of virtual photons