Minimal see-saw model predicting best fit lepton mixing angles

We discuss a minimal predictive see-saw model in which the right-handed neutrino mainly responsible for the atmospheric neutrino mass has couplings to (νe,νμ,ντ) proportional to (0,1,1) and the right-handed neutrino mainly responsible for the solar neutrino mass has couplings to (νe,νμ,ντ) proportional to (1,4,2), with a relative phase η=−2π/5. We show how these patterns of couplings could arise from an A4 family symmetry model of leptons, together with Z3 and Z5 symmetries which fix η=−2π/5 up to a discrete phase choice. The PMNS matrix is then completely determined by one remaining parameter which is used to fix the neutrino mass ratio m2/m3. The model predicts the lepton mixing angles θ12≈34∘,θ23≈41∘,θ13≈9.5∘, which exactly coincide with the current best fit values for a normal neutrino mass hierarchy, together with the distinctive prediction for the CP violating oscillation phase δ≈106∘.