The tension among measurements of from different channels, the so-called Cabibbo Angle Anomaly, can be interpreted as a signal of lepton flavor universality (LFU) violation in the W boson couplings. We investigate this issue in the framework of effective field theory, keeping the gauge structure of the Standard Model (SM) unchanged. We introduce gauge-invariant dimension-6 effective operators that couple the Higgs doublet to leptons, thereby giving non-universal tree-level contributions to the couplings of electroweak gauge bosons. Due to the gauge symmetry, a tension arises between the measurements that are affected by new W couplings, and the electroweak precision measurements, which are also affected by the new Z couplings. We show that this tension can be alleviated by allowing additional sources of gauge-invariant couplings of Z boson to left- or right-handed leptons, and find the optimal regions indicated by the current data in the Wilson-coefficient space. We illustrate our model-independent results with the examples of minimal extensions of the SM involving the vector-like lepton (VLL) models. We point out that dimension-6 operators coupling the Higgs doublet to leptons can affect the rate of decay significantly in general, however this effect is restricted to less than a per cent level for the minimal VLL models.
{ "license": [ { "url": "http://creativecommons.org/licenses/by/3.0/", "license": "CC-BY-3.0" } ], "copyright": [ { "holder": "The Authors", "statement": "The Authors", "year": "2021" } ], "control_number": "64459", "_oai": { "updated": "2023-10-13T18:30:40Z", "id": "oai:repo.scoap3.org:64459", "sets": [ "NPB" ] }, "authors": [ { "affiliations": [ { "country": "India", "value": "Indian Institute of Technology Jodhpur, Jodhpur, India" } ], "surname": "Alok", "email": "akalok@iitj.ac.in", "full_name": "Alok, Ashutosh Kumar", "given_names": "Ashutosh Kumar" }, { "affiliations": [ { "country": "India", "value": "Tata Institute of Fundamental Research, Homi Bhabha Road, Colaba, Mumbai, India" } ], "surname": "Dighe", "email": "amol@theory.tifr.res.in", "full_name": "Dighe, Amol", "given_names": "Amol" }, { "affiliations": [ { "country": "India", "value": "Tata Institute of Fundamental Research, Homi Bhabha Road, Colaba, Mumbai, India" } ], "surname": "Gangal", "email": "shireen.gangal@theory.tifr.res.in", "full_name": "Gangal, Shireen", "given_names": "Shireen" }, { "surname": "Kumar", "given_names": "Jacky", "affiliations": [ { "country": "Canada", "value": "Physique des Particules, Universite de Montreal, C.P. 6128, succ. centre-ville, Montreal, Canada" } ], "full_name": "Kumar, Jacky", "orcid": "0000-0001-9053-0731", "email": "jacky.kumar@umontreal.ca" } ], "_files": [ { "checksum": "md5:572a2640f6604fb42bb9098d772f2a5d", "filetype": "xml", "bucket": "d2377ce8-4bc3-41f1-a950-867c6d36fc2e", "version_id": "d656d300-ae29-43bb-a3a0-ede601a2cc60", "key": "10.1016/j.nuclphysb.2021.115538.xml", "size": 339880 }, { "checksum": "md5:7b03f96cede97f878eeabfcdca384c53", "filetype": "pdf", "bucket": "d2377ce8-4bc3-41f1-a950-867c6d36fc2e", "version_id": "aa18a0d9-8dcc-4594-8ded-347f608b576e", "key": "10.1016/j.nuclphysb.2021.115538.pdf", "size": 1435180 }, { "checksum": "md5:8c1fff9bf4f213db7faffa9b8ee764ce", "filetype": "pdf/a", "bucket": "d2377ce8-4bc3-41f1-a950-867c6d36fc2e", "version_id": "8f4ce243-3d76-4f3d-bef2-1f688ea3e5e9", "key": "10.1016/j.nuclphysb.2021.115538_a.pdf", "size": 1490189 } ], "record_creation_date": "2021-09-07T12:30:27.390368", "titles": [ { "source": "Elsevier", "title": "The role of non-universal Couplings in Explaining the Anomaly" } ], "collections": [ { "primary": "Nuclear Physics B" } ], "dois": [ { "value": "10.1016/j.nuclphysb.2021.115538" } ], "publication_info": [ { "journal_volume": "971 C", "journal_title": "Nuclear Physics B", "material": "article", "artid": "115538", "year": 2021 } ], "$schema": "http://repo.scoap3.org/schemas/hep.json", "abstracts": [ { "source": "Elsevier", "value": "The tension among measurements of <math><msub><mrow><mi>V</mi></mrow><mrow><mi>u</mi><mi>s</mi></mrow></msub></math> from different channels, the so-called Cabibbo Angle Anomaly, can be interpreted as a signal of lepton flavor universality (LFU) violation in the W boson couplings. We investigate this issue in the framework of effective field theory, keeping the gauge structure of the Standard Model (SM) unchanged. We introduce gauge-invariant dimension-6 effective operators that couple the Higgs doublet to leptons, thereby giving non-universal tree-level contributions to the couplings of electroweak gauge bosons. Due to the <math><mi>S</mi><mi>U</mi><msub><mrow><mo>(</mo><mn>2</mn><mo>)</mo></mrow><mrow><mi>L</mi></mrow></msub></math> gauge symmetry, a tension arises between the <math><msub><mrow><mi>V</mi></mrow><mrow><mi>u</mi><mi>s</mi></mrow></msub></math> measurements that are affected by new W couplings, and the electroweak precision measurements, which are also affected by the new Z couplings. We show that this tension can be alleviated by allowing additional sources of gauge-invariant couplings of Z boson to left- or right-handed leptons, and find the optimal regions indicated by the current data in the Wilson-coefficient space. We illustrate our model-independent results with the examples of minimal extensions of the SM involving the vector-like lepton (VLL) models. We point out that dimension-6 operators coupling the Higgs doublet to leptons can affect the rate of <math><mi>h</mi><mo>\u2192</mo><mi>\u03c4</mi><mi>\u03c4</mi></math> decay significantly in general, however this effect is restricted to less than a per cent level for the minimal VLL models." } ], "imprints": [ { "date": "2021-09-07", "publisher": "Elsevier" } ], "acquisition_source": { "date": "2023-10-13T18:30:35.747912", "source": "Elsevier", "method": "Elsevier", "submission_number": "8481822c69f611ee9688729695cabdc8" } }