We study a novel six-dimensional gauge theory compactified on the orbifold utilizing the diagonal embedding method. The bulk gauge group is , and the diagonal part remains manifest in the effective four-dimensional theory. Further spontaneous breaking of the gauge symmetry occurs through the dynamics of the zero modes of the extradimensional components of the gauge field. We apply this setup to the grand unified theory and examine the vacuum structure determined by the dynamics of the zero modes. We find bulk matter contents that radiatively induce spontaneous breakings of the unified symmetry down to at the global minima of the one-loop effective potential for the zero modes. This spontaneous breaking provides notable features such as a realization of the doublet-triplet splitting without a fine tuning and a prediction of light adjoint fields.
{ "_oai": { "updated": "2023-08-23T00:30:09Z", "id": "oai:repo.scoap3.org:79748", "sets": [ "PRD" ] }, "authors": [ { "raw_name": "Kentaro Kojima", "affiliations": [ { "country": "Japan", "value": "Faculty of Arts and Science, Kyushu University, Fukuoka 819-0395, Japan" } ], "surname": "Kojima", "given_names": "Kentaro", "full_name": "Kojima, Kentaro" }, { "raw_name": "Kazunori Takenaga", "affiliations": [ { "country": "Japan", "value": "Faculty of Health Science, Kumamoto Health Science University, Izumi-machi, Kumamoto 861-5598, Japan" } ], "surname": "Takenaga", "given_names": "Kazunori", "full_name": "Takenaga, Kazunori" }, { "raw_name": "Toshifumi Yamashita", "affiliations": [ { "country": "Japan", "value": "Department of Physics, Aichi Medical University, Nagakute 480-1195, Japan" } ], "surname": "Yamashita", "given_names": "Toshifumi", "full_name": "Yamashita, Toshifumi" } ], "titles": [ { "source": "APS", "title": "Grand gauge-Higgs unification on <math><mrow><msup><mrow><mi>T</mi></mrow><mrow><mn>2</mn></mrow></msup><mo>/</mo><msub><mrow><mi>Z</mi></mrow><mrow><mn>3</mn></mrow></msub></mrow></math> via the diagonal embedding method" } ], "dois": [ { "value": "10.1103/PhysRevD.108.035031" } ], "publication_info": [ { "journal_volume": "108", "journal_title": "Physical Review D", "material": "article", "journal_issue": "3", "year": 2023 } ], "$schema": "http://repo.scoap3.org/schemas/hep.json", "acquisition_source": { "date": "2023-08-23T00:30:02.062219", "source": "APS", "method": "APS", "submission_number": "319cd6c4414c11ee91ac6ee2827c7def" }, "page_nr": [ 29 ], "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": "79748", "record_creation_date": "2023-08-22T16:30:01.881949", "_files": [ { "checksum": "md5:0468f5bd53452376162be9e702de7675", "filetype": "pdf", "bucket": "ed466a10-7d75-434b-bb55-ae363487315d", "version_id": "13262118-c52d-4052-84b4-1e74bfd08678", "key": "10.1103/PhysRevD.108.035031.pdf", "size": 794458 }, { "checksum": "md5:502f1f9b004020c6bfda2f5b09b77a34", "filetype": "xml", "bucket": "ed466a10-7d75-434b-bb55-ae363487315d", "version_id": "be47616d-40a1-4dcc-933c-0a3bceb5cb1a", "key": "10.1103/PhysRevD.108.035031.xml", "size": 1096818 } ], "collections": [ { "primary": "HEP" }, { "primary": "Citeable" }, { "primary": "Published" } ], "arxiv_eprints": [ { "categories": [ "hep-ph", "hep-th" ], "value": "2304.05701" } ], "abstracts": [ { "source": "APS", "value": "We study a novel six-dimensional gauge theory compactified on the <math><mrow><msup><mrow><mi>T</mi></mrow><mrow><mn>2</mn></mrow></msup><mo>/</mo><msub><mrow><mi>Z</mi></mrow><mrow><mn>3</mn></mrow></msub></mrow></math> orbifold utilizing the diagonal embedding method. The bulk gauge group is <math><mi>G</mi><mo>\u00d7</mo><mi>G</mi><mo>\u00d7</mo><mi>G</mi></math>, and the diagonal part <math><mrow><msup><mrow><mi>G</mi></mrow><mrow><mi>diag</mi></mrow></msup></mrow></math> remains manifest in the effective four-dimensional theory. Further spontaneous breaking of the gauge symmetry occurs through the dynamics of the zero modes of the extradimensional components of the gauge field. We apply this setup to the <math><mi>S</mi><mi>U</mi><mo>(</mo><mn>5</mn><mo>)</mo></math> grand unified theory and examine the vacuum structure determined by the dynamics of the zero modes. We find bulk matter contents that radiatively induce spontaneous breakings of the unified symmetry <math><mrow><msup><mrow><mi>G</mi></mrow><mrow><mi>diag</mi></mrow></msup><mo>\u2245</mo><mi>S</mi><mi>U</mi><mo>(</mo><mn>5</mn><mo>)</mo></mrow></math> down to <math><mrow><mi>S</mi><mi>U</mi><mo>(</mo><mn>3</mn><mo>)</mo><mo>\u00d7</mo><mi>S</mi><mi>U</mi><mo>(</mo><mn>2</mn><mo>)</mo><mo>\u00d7</mo><mi>U</mi><mo>(</mo><mn>1</mn><mo>)</mo></mrow></math> at the global minima of the one-loop effective potential for the zero modes. This spontaneous breaking provides notable features such as a realization of the doublet-triplet splitting without a fine tuning and a prediction of light adjoint fields." } ], "imprints": [ { "date": "2023-08-22", "publisher": "APS" } ] }