Phenomenology in the Zee model with the A4 symmetry

The Zee model generates neutrino masses at the one-loop level by adding charged SU(2)(L)-singlet and extra SU(2)(L)-doublet scalars to the standard model of particle physics. We introduce the softly broken A(4) symmetry to the Zee model as the origin of the nontrivial structure of the lepton flavor mixing. This model is compatible with the tribimaximal mixing which agrees well with neutrino oscillation measurements. Then, a sum rule m(1)e(i alpha 12) + 2m(2) + 3m(3)e(i alpha 32) = 0 is obtained and it results in Delta m(31)(2) < 0 and m(3) >= 1.8 x 10(-2) eV. The effective mass |(M-v)(ee)| for the neutrinoless double beta decay is predicted as |(M-v)(ee)| >= 1.7 x 10(-2) eV. The characteristic particles in this model are SU(2)(L)-singlet charged Higgs bosons s(alpha)(+)(alpha = xi, eta, zeta) which are made from a 3 representation of A(4). Contributions of s(alpha)(+/-) to the lepton flavor violating decays of charged leptons are almost forbidden by an approximately remaining Z(3) symmetry; only BR(tau -> (d) over bar mu mu) can be sizable by the flavor changing neutral current interaction with SU(2)(L)-doublet scalars. Therefore, s(alpha)(+/-) can easily be light enough to be discovered at the LHC with satisfying current constraints. The flavor structures of BR(s(alpha)(-) -> lv) are also discussed.