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Flavored Peccei-Quinn symmetries in the minimal νDFSZ model

J. R. Rocha*, H. B. Câmara†, and F. R. Joaquim‡

  • Departamento de Física and CFTP, Instituto Superior Técnico, Universidade de Lisboa, Avenida Rovisco Pais 1, 1049-001 Lisboa, Portugal

  • *Contact author: jose.r.rocha@tecnico.ulisboa.pt
  • †Contact author: henrique.b.camara@tecnico.ulisboa.pt
  • ‡Contact author: filipe.joaquim@tecnico.ulisboa.pt

Phys. Rev. D 112, 075053 – Published 31 October, 2025

DOI: https://doi.org/10.1103/qg58-qxp2

Abstract

We consider a Dine-Fischler-Srednicki-Zhitnitsky (DFSZ) axion model extended with two right-handed neutrino fields to realize the minimal type-I seesaw. In this νDFSZ scheme we systematically determine the simplest quark and lepton flavor patterns compatible with masses, mixing, and charge-parity violation data, realized by flavored U(1) Peccei-Quinn (PQ) symmetries. We discuss axion dark matter production in pre- and postinflationary cosmology in this context, and predictions for the axion couplings to photons and fermions. In particular, helioscopes and haloscopes are able to probe our models via their distinct axion-to-photon couplings, while in the quark sector the most stringent constraints on axion-fermion couplings are set by K+→π++a. Flavor-violating constraints in the lepton sector are not as relevant as those stemming from red giants and star cooling SN1987a that restrict the diagonal ee and μμ axion couplings to charged leptons, respectively. We also obtain axion mass bounds for the most interesting models and discuss how minimal flavored PQ symmetries provide a natural framework to suppress flavor-violating couplings.

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