Near Tribimaximal Neutrino Mixing with ∆(27) Symmetry

The discrete subgroup ∆(27) of SU(3) has the interesting multiplication rule 3×3 = 3̄ + 3̄ + 3̄, which is used to obtain near tribimaximal neutrino mixing. Using present neutrino oscillation data as input, this model predicts that the effective mass mee measured in neutrinoless double beta decay will be 0.14 eV. The non-Abelian discrete subgroup ∆(12) of SU(3) [1], more familiarly known as A4 [2, 3], has been shown to be useful [4, 5, 6, 7, 8] for obtaining the tribimaximal mixing [9] of neutrinos, in good agreement [10] with present data. In the basis where the charged-lepton mass matrix Ml is diagonal, the Majorana neutrino mass matrix is given by [4] Mν =     x+ y + z −x −x −x y z −x z y     (1) which is form diagonal, i.e. it is diagonalized by U3 = 