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#### Absolute neutrino mass scale and dark matter stability from flavour symmetry

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##### Citation

Centelles Chulia, S., Cepedello, R., & Medina, O. (2022). Absolute neutrino mass
scale and dark matter stability from flavour symmetry.* Journal of high energy physics: JHEP,*
*2022*: 80. doi:10.1007/JHEP10(2022)080.

Cite as: https://hdl.handle.net/21.11116/0000-000B-03D4-2

##### Abstract

We explore a simple but extremely predictive extension of the scotogenic

model. We promote the scotogenic symmetry $\mathbb{Z}_2$ to the flavour

non-Abelian symmetry $\Sigma(81)$, which can also automatically protect dark

matter stability. In addition, $\Sigma(81)$ leads to striking predictions in

the lepton sector: only Inverted Ordering is realised, the absolute neutrino

mass scale is predicted to be $m_\text{lightest} \approx 7.5 \times 10^{-4}$ eV

and the Majorana phases are correlated in such a way that $|m_{ee}| \approx

0.018$ eV. The model also leads to a strong correlation between the solar

mixing angle $\theta_{12}$ and $\delta_{CP}$, 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.

model. We promote the scotogenic symmetry $\mathbb{Z}_2$ to the flavour

non-Abelian symmetry $\Sigma(81)$, which can also automatically protect dark

matter stability. In addition, $\Sigma(81)$ leads to striking predictions in

the lepton sector: only Inverted Ordering is realised, the absolute neutrino

mass scale is predicted to be $m_\text{lightest} \approx 7.5 \times 10^{-4}$ eV

and the Majorana phases are correlated in such a way that $|m_{ee}| \approx

0.018$ eV. The model also leads to a strong correlation between the solar

mixing angle $\theta_{12}$ and $\delta_{CP}$, 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.