Some analytic results for the contribution to the anomalous magnetic moments of leptons due to the polarization of vacuum via lepton loops

Abstract

We present some new exact expressions for the contribution of the mass-dependent three-bubble diagrams to the anomalous magnetic moment of leptons L = e, μ and τ. A comparison with the analytic expansions in terms of the mass ratio mℓ /m L made in the literature, whenever relevant, is discussed.