Coupling sum rules and oblique corrections in gauge-Higgs unification

Author:

Hosotani Yutaka1ORCID,Funatsu Shuichiro2ORCID,Hatanaka Hisaki3ORCID,Orikasa Yuta4ORCID,Yamatsu Naoki5ORCID

Affiliation:

1. Department of Physics, Osaka University , Toyonaka, Osaka 560-0043 , Japan

2. Ushiku , Ibaraki 300-1234 , Japan

3. Osaka , Osaka 536-0014 , Japan

4. Institute of Experimental and Applied Physics, Czech Technical University in Prague , Husova 240/5, 110 00 Prague 1, Czech Republic

5. Department of Physics, National Taiwan University , Taipei, Taiwan 10617 , R.O.C

Abstract

Abstract In grand-unified-theory-inspired SO(5) × U(1)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 θH 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.

Funder

SCOAP

Publisher

Oxford University Press (OUP)

Subject

General Physics and Astronomy

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