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One-loop contributions to decays eb→eaγand (g−2)eaanomalies, and Ward identity
One-loop contributions to decays eb→eaγand (g−2)eaanomalies, and Ward identity
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Date
2023
Authors
L.T.Hue, H.N.Long, V.H.Binh, H.L.T.Mai, T.PhongNguyen
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Research Projects
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Abstract
In this paper, we will present analytic formulas to express one-loop contributions to lepton flavor violating decays eb→eaγ, which are also relevant to the anomalous dipole magnetic moments of charged leptons ea. These formulas were computed in the unitary gauge, using the well-known Passarino-Veltman notations. We also show that our results are consistent with those calculated previously in the ’t Hooft-Veltman gauge, or in the limit of zero lepton masses. At the one-loop level, we show that the appearance of fermion-scalar-vector type diagrams in the unitary gauge will violate the Ward Identity relating to an external photon. As a result, the validation of the Ward Identity guarantees that the photon always couples with two identical particles in an arbitrary triple coupling vertex containing a photon