One-loop contributions to decays $e_b\to e_a \gamma$ and $(g-2)_{e_a}$ anomalies, and Ward identity
Abstract
In this paper, we will present analytic formulas to express one-loop contributions to lepton flavor violating decays , which are also relevant to the anomalous dipole magnetic moments of charged leptons . 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.
Keywords
Cite
@article{arxiv.2301.05407,
title = {One-loop contributions to decays $e_b\to e_a \gamma$ and $(g-2)_{e_a}$ anomalies, and Ward identity},
author = {L. T. Hue and H. N. Long and V. H. Binh and H. L. T. Mai and T. Phong Nguyen},
journal= {arXiv preprint arXiv:2301.05407},
year = {2023}
}
Comments
The version accepted to Nuclear Physics B