Coupling sum rules and oblique corrections in gauge-Higgs unification
- NázevTitle
- Coupling sum rules and oblique corrections in gauge-Higgs unificationCoupling sum rules and oblique corrections in gauge-Higgs unification
- Druh výsledkuResult type
- Článek v časopiseJournal article
- AutořiAuthors
- Y. Hosotani, S. Funatsu, H. Hatanaka, Y. Orikasa
- Klíčová slovaKeywords
- grand unification, symmetry breaking, Electroweak, hierarchy
- DOIDOI
- 10.1093/ptep/ptad068
- Časopis / citaceJournal / citation
- Progress of Theoretical and Experimental Physics 2023(6), 063B01 (2023) · ISSN 2050-3911
- RokYear
- 2023
- JazykLanguage
- eng
- ZáznamyRecords
- ProjektProject
- Institucionální podpora na rozvoj výzkumné org.Institucionální podpora na rozvoj výzkumné org.; Inženýrské aplikace fyziky mikrosvětaEngineering applications of microworld physics
- CitovánoCited by
- 4 (INSPIRE-HEP)
- Plný text (open access)Full text (open access)
- https://academic.oup.com/ptep/article-pdf/2023/6/063B01/50602959/ptad068.pdf
- Citace ke staženíDownload citation
- TXT · BibTeX
AbstraktAbstract
In grand-unified-theory-inspired SO(5) x U(1)(X) x SU(3)(C) gauge-Higgs unification (GHU) in the Randall-Sundrum warped spacetime, the W- and Z-couplings of all 4D fermion modes become nontrivial. The W- and Z-couplings of zero-mode quarks and leptons slightly deviate from those in the SM, and the couplings take the matrix form in the space of Kaluza-Klein (KK) states. In particular, the 4D couplings and mass spectra in the KK states depend on the Aharonov-Bohm phase theta(H) in the fifth dimension. Nevertheless there emerge three astonishing sum rules among those coupling matrices, which guarantees the finiteness of certain combinations of corrections to vacuum polarization tensors. We confirm by numerical evaluation that the equality in the sum rules holds with 5- to 7-digit accuracy. Based on the sum rules we propose improved oblique parameters in GHU. Oblique corrections due to fermion 1-loop diagrams are found to be small.
In grand-unified-theory-inspired SO(5) x U(1)(X) x SU(3)(C) gauge-Higgs unification (GHU) in the Randall-Sundrum warped spacetime, the W- and Z-couplings of all 4D fermion modes become nontrivial. The W- and Z-couplings of zero-mode quarks and leptons slightly deviate from those in the SM, and the couplings take the matrix form in the space of Kaluza-Klein (KK) states. In particular, the 4D couplings and mass spectra in the KK states depend on the Aharonov-Bohm phase theta(H) in the fifth dimension. Nevertheless there emerge three astonishing sum rules among those coupling matrices, which guarantees the finiteness of certain combinations of corrections to vacuum polarization tensors. We confirm by numerical evaluation that the equality in the sum rules holds with 5- to 7-digit accuracy. Based on the sum rules we propose improved oblique parameters in GHU. Oblique corrections due to fermion 1-loop diagrams are found to be small.