One-loop contributions to decays \(e_b\rightarrow e_a\gamma\) and \((g - 2)_{e_a}\) anomalies, and Ward identity
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Publication:6159659
DOI10.1016/J.NUCLPHYSB.2023.116244zbMATH Open1523.81167arXiv2301.05407OpenAlexW4377861812MaRDI QIDQ6159659
Author name not available (Why is that?)
Publication date: 20 June 2023
Published in: (Search for Journal in Brave)
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.
Full work available at URL: https://arxiv.org/abs/2301.05407
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