An exhaustive scan of Δ(96) Modular Littlest Seesaw models yields 35 viable residual-symmetry patterns with new fixed PMNS columns and sharp, testable predictions beyond TM1.
Minimal see-saw model predicting best fit lepton mixing angles
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abstract
We discuss a minimal predictive see-saw model in which the right-handed neutrino mainly responsible for the atmospheric neutrino mass has couplings to (nu_e, nu_mu, nu_tau) proportional to (0,1,1) and the right-handed neutrino mainly responsible for the solar neutrino mass has couplings to (nu_e, nu_mu, nu_tau) proportional to (1,4,2), with a relative phase eta = -2pi/5. We show how these patterns of couplings could arise from an A_4 family symmetry model of leptons, together with Z_3 and Z_5 symmetries which fix eta = -2pi/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 m_2/m_3. The model predicts the lepton mixing angles theta12=34 degrees, theta23=41 degrees, theta13=9.5 degrees, 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 delta =106 degrees.
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Upcoming neutrino experiments are projected to substantially reduce the number of viable leptonic flavor models in five popular classes by measuring mass ordering, theta_23 octant, delta_CP, and absolute mass scale.
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Lepton mixing from the $\Delta(96)$ Modular Littlest Seesaw
An exhaustive scan of Δ(96) Modular Littlest Seesaw models yields 35 viable residual-symmetry patterns with new fixed PMNS columns and sharp, testable predictions beyond TM1.
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The Future of Lepton Flavor
Upcoming neutrino experiments are projected to substantially reduce the number of viable leptonic flavor models in five popular classes by measuring mass ordering, theta_23 octant, delta_CP, and absolute mass scale.