Classification of three-family flavoured DFSZ axion models that have no domain wall problem

Abstract

We provide an exhaustive classification of three-family DFSZ axion models that have no cosmological domain wall problem. This result is obtained by making the Peccei-Quinn symmetry flavour dependent in certain specific ways, thus reinforcing a possible connection between the strong CP problem and the flavour puzzle. Known DFSZ flavour variants such as the top-specific model emerge as special cases. Key features of the phenomenology of these models are briefly discussed.

20 pages, 3 tables, v2: references added, journal version

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• Multiple Axions Save High-Scale Inflation
• Flavored Peccei-Quinn symmetries in the minimal $\nu$DFSZ model
• Neutrino Mass Hierarchy and Axion--Lepton Couplings in a Minimal Flavored $\nu$KSVZ Model