Anomalous Discrete Flavor Symmetry and Domain Wall Problem

Abstract

Discrete flavor symmetry is often introduced for explaining quark/lepton masses and mixings. However, its spontaneous breaking leads to the appearance of domain walls, which is problematic for cosmology. We consider a possibility that the discrete flavor symmetry is anomalous under the color SU(3) so that it splits the energy levels of degenerate discrete vacua as a solution to the domain wall problem. We find that in most known models of flavor symmetry, the QCD anomaly effect can only partially remove the degeneracy and there still remain degenerate vacua.

16 pages, 5 tables

References in corpus (8)

• Observation of electron-antineutrino disappearance at Daya Bay
• (Non-)Abelian discrete anomalies
• D4 Flavor Symmetry for Neutrino Masses and Mixing
• Flavored Peccei-Quinn symmetry
• Anomalies of Discrete Symmetries and Gauge Coupling Unification
• Flavon Inflation
• Observable dark radiation from cosmologically safe QCD axion
• Anomaly-safe discrete groups

Cited by in corpus (5)

• QCD-Collapsed Domain Walls: QCD Phase Transition and Gravitational Wave Spectroscopy
• Neutrino phenomenology in the flavored NMSSM without domain wall problems
• Flavon Stabilization in Models with Discrete Flavor Symmetry
• Symmetries of stationary points of the $G$-invariant potential and the framework of the auxiliary group
• Novel Flavon Stabilization with Trimaximal Neutrino Mixing