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PreprintCC BY 4.0arXiv

Dark Matter Stability from residual flavour symmetries

Abstract

We propose a model-independent framework in which Dark Matter stability emerges naturally from residual discrete ℤN symmetries left unbroken by the spontaneous breaking of continuous flavour symmetries, both Abelian and non-Abelian. No ad hoc stabilizing symmetry is required, as Dark Matter stability is an inherent consequence of the underlying flavour dynamics. As an explicit example, we construct a prototype model based on a SU(2)F ⊗ U(1)F Froggatt-Nielsen symmetry, which successfully reproduces the observed charged lepton mass spectrum and the PMNS mixing matrix, while identifying the lightest sterile neutrino as a stable Dark Matter candidate. Furthermore, we study the Dark Matter phenomenology within our model in the freeze-in regime, including production channels mediated by higher-dimensional operators suppressed by the cutoff scale Λ. Our analysis shows that continuous flavour symmetries can provide a unified, self-consistent framework addressing both the flavour puzzle and the origin, stability, and production of Dark Matter.

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BibTeX
@misc{landini2026dark,
  title = {{Dark Matter Stability from residual flavour symmetries}},
  author = {Giacomo Landini and Simone Marciano and Federico Mescia},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.17210},
  eprint = {2610.17210},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.17210},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Dark Matter Stability from residual flavour symmetries
AU  - Giacomo Landini
AU  - Simone Marciano
AU  - Federico Mescia
PY  - 2026
DA  - 2026/10/12
PB  - arXiv
DO  - 10.48550/arxiv.2610.17210
UR  - https://arxiv.org/abs/2610.17210
AB  - We propose a model-independent framework in which Dark Matter stability emerges naturally from residual discrete ℤ_N symmetries left unbroken by the spontaneous breaking of continuous flavour symmetries, both Abelian and non-Abelian. No ad hoc stabilizing symmetry is required, as Dark Matter stability is an inherent consequence of the underlying flavour dynamics. As an explicit example, we construct a prototype model based on a SU(2)_F ⊗ U(1)_F Froggatt-Nielsen symmetry, which successfully reproduces the observed charged lepton mass spectrum and the PMNS mixing matrix, while identifying the lightest sterile neutrino as a stable Dark Matter candidate. Furthermore, we study the Dark Matter phenomenology within our model in the freeze-in regime, including production channels mediated by higher-dimensional operators suppressed by the cutoff scale Λ. Our analysis shows that continuous flavour symmetries can provide a unified, self-consistent framework addressing both the flavour puzzle and the origin, stability, and production of Dark Matter.
ER  -