The boson mass in the grand unified theory inspired gauge-Higgs unification in the Randall-Sundrum (RS) warped space is evaluated. The muon decay proceeds by the exchange of not only the zero mode of the boson but also Kaluza-Klein (KK) excited modes and () at the tree level. The anti–de Sitter curvature of the RS space also affects the relationship among the gauge couplings and the ratio of to the boson mass . The couplings of leptons and quarks also change. With the given KK mass scale the range of the Aharonov-Bohm phase in the fifth dimension is constrained. For , and . The predicted value of for lies between in the standard model and , the value reported by the CDF Collaboration in 2022.
{ "_oai": { "updated": "2024-01-09T09:26:00Z", "id": "oai:repo.scoap3.org:82403", "sets": [ "PRD" ] }, "authors": [ { "raw_name": "Yutaka Hosotani", "affiliations": [ { "country": "Japan", "value": "Research Center for Nuclear Physics, Osaka University, Ibaraki, Osaka 567-0047, Japan" } ], "surname": "Hosotani", "given_names": "Yutaka", "full_name": "Hosotani, Yutaka" }, { "raw_name": "Shuichiro Funatsu", "affiliations": [ { "country": "Japan", "value": "Ushiku, Ibaraki 300-1234, Japan" } ], "surname": "Funatsu", "given_names": "Shuichiro", "full_name": "Funatsu, Shuichiro" }, { "raw_name": "Hisaki Hatanaka", "affiliations": [ { "country": "Japan", "value": "Osaka, Osaka 536-0014, Japan" } ], "surname": "Hatanaka", "given_names": "Hisaki", "full_name": "Hatanaka, Hisaki" }, { "raw_name": "Yuta Orikasa", "affiliations": [ { "country": "Czech Republic", "value": "Institute of Experimental and Applied Physics, Czech Technical University in Prague, Husova 240/5, 110 00 Prague 1, Czech Republic" } ], "surname": "Orikasa", "given_names": "Yuta", "full_name": "Orikasa, Yuta" }, { "raw_name": "Naoki Yamatsu", "affiliations": [ { "country": "China", "value": "Department of Physics, National Taiwan University, Taipei, Taiwan 10617, Republic of China" } ], "surname": "Yamatsu", "given_names": "Naoki", "full_name": "Yamatsu, Naoki" } ], "titles": [ { "source": "APS", "title": "<math><mrow><mi>W</mi></mrow></math> boson mass in gauge-Higgs unification" } ], "dois": [ { "value": "10.1103/PhysRevD.108.115036" } ], "publication_info": [ { "journal_volume": "108", "journal_title": "Physical Review D", "material": "article", "journal_issue": "11", "year": 2023 } ], "$schema": "http://repo.scoap3.org/schemas/hep.json", "acquisition_source": { "date": "2023-12-28T00:30:21.924290", "source": "APS", "method": "APS", "submission_number": "3c1a39cca51811eea49c8e4864f4776e" }, "page_nr": [ 9 ], "license": [ { "url": "https://creativecommons.org/licenses/by/4.0/", "license": "CC-BY-4.0" } ], "copyright": [ { "statement": "Published by the American Physical Society", "year": "2023" } ], "control_number": "82403", "record_creation_date": "2023-12-27T16:30:06.919626", "_files": [ { "checksum": "md5:dd3513e9b564c559b7dd3ed1f3dec1f5", "filetype": "pdf", "bucket": "83fd6664-a1a6-4706-ada3-a4edb465b1e0", "version_id": "935abaab-ab4a-4b90-8140-3787d65353c9", "key": "10.1103/PhysRevD.108.115036.pdf", "size": 759152 }, { "checksum": "md5:1d7b28a2c7594d34b1f542ad5fd57c18", "filetype": "xml", "bucket": "83fd6664-a1a6-4706-ada3-a4edb465b1e0", "version_id": "5fa02020-f04e-46f8-82d9-e2d050222676", "key": "10.1103/PhysRevD.108.115036.xml", "size": 267734 } ], "collections": [ { "primary": "HEP" }, { "primary": "Citeable" }, { "primary": "Published" } ], "arxiv_eprints": [ { "categories": [ "hep-ph" ], "value": "2310.03276" } ], "abstracts": [ { "source": "APS", "value": "The <math><mi>W</mi></math> boson mass <math><msub><mi>m</mi><mi>W</mi></msub></math> in the grand unified theory inspired <math><mi>S</mi><mi>O</mi><mo>(</mo><mn>5</mn><mo>)</mo><mo>\u00d7</mo><mi>U</mi><mo>(</mo><mn>1</mn><mo>)</mo><mo>\u00d7</mo><mi>S</mi><mi>U</mi><mo>(</mo><mn>3</mn><mo>)</mo></math> gauge-Higgs unification in the Randall-Sundrum (RS) warped space is evaluated. The muon decay <math><msup><mi>\u03bc</mi><mo>\u2212</mo></msup><mo>\u2192</mo><msup><mi>e</mi><mo>\u2212</mo></msup><msub><mover><mi>\u03bd</mi><mo>\u00af</mo></mover><mi>e</mi></msub><msub><mi>\u03bd</mi><mi>\u03bc</mi></msub></math> proceeds by the exchange of not only the zero mode of the <math><mi>W</mi></math> boson <math><mrow><mo>(</mo><msup><mrow><mi>W</mi></mrow><mrow><mo>(</mo><mn>0</mn><mo>)</mo></mrow></msup><mo>)</mo></mrow></math> but also Kaluza-Klein (KK) excited modes <math><msup><mi>W</mi><mrow><mo>(</mo><mi>n</mi><mo>)</mo></mrow></msup></math> and <math><msubsup><mi>W</mi><mi>R</mi><mrow><mo>(</mo><mi>n</mi><mo>)</mo></mrow></msubsup></math> (<math><mi>n</mi><mo>\u2265</mo><mn>1</mn></math>) at the tree level. The anti\u2013de Sitter curvature of the RS space also affects the relationship among the gauge couplings and the ratio of <math><msub><mi>m</mi><mi>W</mi></msub></math> to the <math><mi>Z</mi></math> boson mass <math><msub><mi>m</mi><mi>Z</mi></msub></math>. The <math><mi>W</mi></math> couplings of leptons and quarks also change. With the given KK mass scale <math><msub><mi>m</mi><mrow><mi>KK</mi></mrow></msub></math> the range of the Aharonov-Bohm phase <math><msub><mi>\u03b8</mi><mi>H</mi></msub></math> in the fifth dimension is constrained. For <math><msub><mi>m</mi><mrow><mi>KK</mi></mrow></msub><mo>=</mo><mn>13</mn><mtext> </mtext><mtext> </mtext><mi>TeV</mi></math>, <math><mn>0.085</mn><mo>\u2272</mo><msub><mi>\u03b8</mi><mi>H</mi></msub><mo>\u2272</mo><mn>0.11</mn></math> and <math><mn>80.381</mn><mo>\u2272</mo><msub><mi>m</mi><mi>W</mi></msub><mo>\u2272</mo><mn>80.407</mn><mtext> </mtext><mtext> </mtext><mi>GeV</mi></math>. The predicted value of <math><msub><mi>m</mi><mi>W</mi></msub></math> for <math><mn>13</mn><mo>\u2264</mo><msub><mi>m</mi><mrow><mi>KK</mi></mrow></msub><mo>\u2264</mo><mn>20</mn><mtext> </mtext><mtext> </mtext><mi>TeV</mi></math> lies between <math><msubsup><mi>m</mi><mi>W</mi><mrow><mi>SM</mi></mrow></msubsup><mo>=</mo><mn>80.354</mn><mo>\u00b1</mo><mn>0.007</mn><mtext> </mtext><mtext> </mtext><mi>GeV</mi></math> in the standard model and <math><msubsup><mi>m</mi><mi>W</mi><mrow><mi>CDF</mi></mrow></msubsup><mo>=</mo><mn>80.4335</mn><mo>\u00b1</mo><mn>0.0094</mn><mtext> </mtext><mtext> </mtext><mi>GeV</mi></math>, the value reported by the CDF Collaboration in 2022." } ], "imprints": [ { "date": "2023-12-27", "publisher": "APS" } ] }