One-loop contributions to decays $e_b\to e_a \gamma$ and $(g-2)_{e_a}$ anomalies, and Ward identity

التفاصيل البيبلوغرافية
العنوان: One-loop contributions to decays $e_b\to e_a \gamma$ and $(g-2)_{e_a}$ anomalies, and Ward identity
المؤلفون: Hue, L. T., Long, H. N., Binh, V. H., Mai, H. L. T., Nguyen, T. Phong
المصدر: Nucl.Phys.B 992 (2023) 116244
سنة النشر: 2023
المجموعة: High Energy Physics - Phenomenology
مصطلحات موضوعية: High Energy Physics - Phenomenology
الوصف: In this paper, we will present analytic formulas to express one-loop contributions to lepton flavor violating decays $e_b\to e_a \gamma$, which are also relevant to the anomalous dipole magnetic moments of charged leptons $e_a$. 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.
Comment: The version accepted to Nuclear Physics B
نوع الوثيقة: Working Paper
DOI: 10.1016/j.nuclphysb.2023.116244
URL الوصول: http://arxiv.org/abs/2301.05407
رقم الأكسشن: edsarx.2301.05407
قاعدة البيانات: arXiv
الوصف
DOI:10.1016/j.nuclphysb.2023.116244