A new Littlest Seesaw model

We propose and discuss a new Littlest Seesaw model, realized in the tri-direct CP approach, in which the couplings of the two right-handed neutrinos to the lepton doublets are proportional to (0, −1, 1) and (1,5/2, −1/2) respectively with the relative phase = −π/2. This model can give an excellent description of lepton flavour mixing, including an atmospheric neutrino mixing angle in the second octant, in terms of only two input parameters. We show that the observed baryon asymmetry can be generated for the lightest right-handed neutrino mass M1 = 1.176 × 1011 GeV in SM and M1 = 3.992 × 1010 GeV in MSSM with tan β = 5 . We construct an explicit Littlest Seesaw model based on the flavour symmetry S4 × Z5 × Z8 in which the desired alignments and the phase = −π/2 are achieved.