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.
{ "license": [ { "url": "http://creativecommons.org/licenses/by/3.0/", "license": "CC-BY-3.0" } ], "copyright": [ { "holder": "The Author(s)", "statement": "The Author(s)", "year": "2023" } ], "control_number": "77861", "_oai": { "updated": "2023-06-19T09:30:32Z", "id": "oai:repo.scoap3.org:77861", "sets": [ "NPB" ] }, "authors": [ { "affiliations": [ { "country": "Vietnam", "value": "Subatomic Physics Research Group, Science and Technology Advanced Institute, Van Lang University, Ho Chi Minh City, Vietnam" }, { "country": "Vietnam", "value": "Faculty of Applied Technology, School of Technology, Van Lang University, Ho Chi Minh City, Vietnam" } ], "surname": "Hue", "email": "lethohue@vlu.edu.vn", "full_name": "Hue, L.T.", "given_names": "L.T." }, { "affiliations": [ { "country": "Vietnam", "value": "Subatomic Physics Research Group, Science and Technology Advanced Institute, Van Lang University, Ho Chi Minh City, Vietnam" }, { "country": "Vietnam", "value": "Faculty of Applied Technology, School of Technology, Van Lang University, Ho Chi Minh City, Vietnam" } ], "surname": "Long", "email": "hoangngoclong@vlu.edu.vn", "full_name": "Long, H.N.", "given_names": "H.N." }, { "affiliations": [ { "country": "Vietnam", "value": "Institute of Physics, Vietnam Academy of Science and Technology, Hanoi, Vietnam" } ], "surname": "Binh", "given_names": "V.H.", "full_name": "Binh, V.H." }, { "affiliations": [ { "country": "Vietnam", "value": "Faculty of Physics Science, Can Tho Medical College, Can Tho, Vietnam" } ], "surname": "Mai", "given_names": "H.L.T.", "full_name": "Mai, H.L.T." }, { "surname": "Nguyen", "given_names": "T. Phong", "affiliations": [ { "country": "Vietnam", "value": "Department of Physics, Can Tho University, Can Tho, Vietnam" } ], "full_name": "Nguyen, T. Phong", "orcid": "0000-0002-8654-824X", "email": "thanhphong@ctu.edu.vn" } ], "_files": [ { "checksum": "md5:535f3228a346faedbe1fbff1a86d677f", "filetype": "xml", "bucket": "ff675527-c022-4a3d-be1f-45859a13450e", "version_id": "eafca178-acb0-447e-9f63-230bc7c8d0fe", "key": "10.1016/j.nuclphysb.2023.116244.xml", "size": 1220745 }, { "checksum": "md5:618b9ec2107607edb1a2a2bf5d6679a9", "filetype": "pdf", "bucket": "ff675527-c022-4a3d-be1f-45859a13450e", "version_id": "2469f315-dcc9-4eaf-9d6e-f954415089a8", "key": "10.1016/j.nuclphysb.2023.116244.pdf", "size": 590981 }, { "checksum": "md5:a9a5c091511d00531ea4eddd16e13a76", "filetype": "pdf/a", "bucket": "ff675527-c022-4a3d-be1f-45859a13450e", "version_id": "cbd0e40e-aeac-450b-bada-ed242c3ecc4c", "key": "10.1016/j.nuclphysb.2023.116244_a.pdf", "size": 630828 } ], "record_creation_date": "2023-05-23T21:30:33.279517", "titles": [ { "source": "Elsevier", "title": "One-loop contributions to decays \u2192 And anomalies, and Ward identity" } ], "collections": [ { "primary": "Nuclear Physics B" } ], "dois": [ { "value": "10.1016/j.nuclphysb.2023.116244" } ], "publication_info": [ { "journal_volume": "992 C", "journal_title": "Nuclear Physics B", "material": "article", "artid": "116244", "year": 2023 } ], "$schema": "http://repo.scoap3.org/schemas/hep.json", "abstracts": [ { "source": "Elsevier", "value": "In this paper, we will present analytic formulas to express one-loop contributions to lepton flavor violating decays <math><msub><mrow><mi>e</mi></mrow><mrow><mi>b</mi></mrow></msub><mo>\u2192</mo><msub><mrow><mi>e</mi></mrow><mrow><mi>a</mi></mrow></msub><mi>\u03b3</mi></math>, which are also relevant to the anomalous dipole magnetic moments of charged leptons <math><msub><mrow><mi>e</mi></mrow><mrow><mi>a</mi></mrow></msub></math>. 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." } ], "imprints": [ { "date": "2023-05-23", "publisher": "Elsevier" } ], "acquisition_source": { "date": "2023-06-19T09:30:29.940427", "source": "Elsevier", "method": "Elsevier", "submission_number": "dd0285280e8311ee91ac6ee2827c7def" } }