A Δ(27) flavor-symmetric type-II seesaw model reproduces neutrino oscillation data only after an ad hoc diagonal perturbation is added, and its CP violation predictions reduce to parameter scans.
Neutrino Masses via a Seesaw with Heavy Majorana and Dirac Neutrino Mass Matrices from Discrete Subgroup $\Delta (27)$ of SU(3)
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abstract
Neutrino mass matrix via a seesaw mechanism is constructed by assuming that the underlying symmetry of both heavy Majorana and Dirac mass matrices is the discrete subgroup $\Delta(27)$ symmetry of SU(3). Using the experimental data of neutrino oscillation, the neutrino mass matrix exhibits maximal $\nu_{\mu}-\nu_{\tau}$ mixing and has a specific prediction on the effective neutrino mass in neutrinoless double beta decay which can be tested in future experiment.
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Phenomenological Study of Type II Seesaw with $\Delta(27)$ Symmetry
A Δ(27) flavor-symmetric type-II seesaw model reproduces neutrino oscillation data only after an ad hoc diagonal perturbation is added, and its CP violation predictions reduce to parameter scans.