2006/12/31 by Takeshi Araki, Teppei Araki · 1 citation
Physics and Astronomy · #Black Holes and Theoretical Physics #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #hep-ph
paper · pdf · doi:10.1143/ptp.117.1119
published as Prog.Theor.Phys.117:1119-1138,2007 · 22 pages, 4 figures, many typos corrected, references added, published version
openalex publication_date 2007/06/01 · arxiv created 2007/06/08 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The anomaly of a discrete symmetry is defined as the Jacobian of the pathintegral measure. Assuming that the anomaly at low energies is cancelled by the Green-Schwarz (GS) mechanism at a fundamental scale, we investigate possible Kac-Moody levels for anomalous discrete family symmetries. As the first example, we consider discrete abelian baryon number and lepton number symmetries in the minimal supersymmetric standard model with the see-saw mechanism, and we find that the ordinary unification of gauge couplings is inconsistent with the GS conditions, indicating the possible existence of further Higgs doublets. We consider various recently proposed supersymmetric models with a non-abelian discrete family symmetry. In a supersymmetric example with Q6 family symmetry, the GS conditions are such that the gauge coupling unification appears close to the Planck scale. 2 1