Fermion Masses and Mixings and Dark Matter Constraints in a Model with Radiative Seesaw Mechanism

Understand

We formulate a predictive model of fermion masses and mixings based on a $\Delta(27)$ family symmetry.

• In the quark sector the model leads to the viable mixing inspired texture where the Cabibbo angle comes from the down quark sector and the other angles come from both up and down quark sectors.
• In the lepton sector the model generates a predictive structure for charged leptons and, after radiative seesaw, an effective neutrino mass matrix with only one real and one complex parameter.
• We carry out a detailed analysis of the predictions in the lepton sector, where the model is only viable for inverted neutrino mass hierarchy, predicting a strict correlation between $\theta_{23}$ and $\theta_{13}$.