Anomaly in baryon number
Chiral anomalies in baryon and lepton number currents in the GUT-inspired $SO(5) \times U(1) \times SU(3)$ gauge-Higgs unification model in the Randall-Sundrum (RS) warped space are examined. Total anomalies including contributions of all Kaluza-Klein (KK) excited modes of fermions running along internal triangular loops are expressed in terms of the values of wave functions of gauge-boson KK towers at the ultraviolet (UV) and infrared (IR) branes in the RS space. The covariant divergence of 5D baryon number current picks up an anomaly term proportional to ${\rm Tr} \,F_{μν} \tilde F^{μν} |_{SU(2)_L} - {\rm Tr} \, F_{μν} \tilde F^{μν} |_{SU(2)_R}$ at the UV and IR branes where $SU(2)_L \times SU(2)_R$ is a subgroup of $SO(5)$.
Authors
- Yutaka Hosotani (ORCID: https://orcid.org/0000-0003-2537-4052)
Publication Details
- Journal
- Physical review. D/Physical review. D.
- Published
- 2026-10-30
- DOI
- https://doi.org/10.1103/fvmg-lmql
- Primary Topic
- Particle physics theoretical and experimental studies
- Type
- article
- Field-Weighted Citation Impact
- 0.00