Absolute neutrino mass scale and dark matter stability from flavour symmetry

Abstract

Abstract We explore a simple but extremely predictive extension of the scotogenic model. We promote the scotogenic symmetry ℤ2 to the flavour non-Abelian symmetry Σ(81), which can also automatically protect dark matter stability. In addition, Σ(81) leads to striking predictions in the lepton sector: only Inverted Ordering is realised, the absolute neutrino mass scale is predicted to be m lightest ≈ 7.5×10 −4 eV and the Majorana phases are correlated in such a way that |m ee | ≈ 0.018 eV. The model also leads to a strong correlation between the solar mixing angle θ 12 and δ CP , which may be falsified by the next generation of neutrino oscillation experiments. The setup is minimal in the sense that no additional symmetries or flavons are required.

Keywords

• Discrete Symmetries
• Flavour Symmetries
• Neutrino Mixing
• Particle Nature of Dark Matter