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In this paper, following the Occam’s razor principle, we have put forward a very simple form of the Dirac neutrino mass matrix M D in the minimal seesaw model with the right-handed neutrino mass matrix being diagonal M R = diag ( M 1 , M 2 ) ; it has one texture zero and only contains three real parameters, whose values can be determined from the neutrino oscillation experimental results. Such a model leads to a neutrino mass matrix M ν ≃ − M D M R − 1 M D T that obeys the TM1 and μ-τ reflection symmetries simultaneously. In this way all the lepton flavor mixing parameters except for θ 13 are predicted; the value of θ 12 is predicted by the TM1 symmetry, while those of θ 23 , δ, ρ and σ by the μ-τ reflection symmetry. And the neutrino masses are predicted to be of the NO case with m 1 = 0 , for which all three light neutrino masses will be pinned down with the help of the experimental results for the neutrino mass squared differences. For these results, the effective Majorana neutrino mass ∣ M ν ee ∣ that controls the rate of the neutrinoless double beta decay is predicted to be 1.6 or 3.8 meV in the case of σ = 0 or π/2. We have also studied the implications of the model for leptogenesis. It turns out that only in the two-flavor leptogenesis regime (which holds in the temperature range 109–1012 GeV) can leptogenesis have a chance to be successful. And a successful leptogenesis can be achieved at M 1 ≃ 1.2 × 10 11 GeV in the case of σ = π/2, but not in the case of σ = 0.

In Asakaet al(2021Phys. Rev. D103, 015014), Asaka, Ishida and Tanaka put forward an interesting possibility that the neutrinoless double beta decay can be hidden in the minimal seesaw model with the two right-handed neutrinos having a hierarchical mass structure: the lighter one is lighter enough than the typical Fermi-momentum scale of nuclei while the heavier one is sufficiently heavy to decouple from the neutrinoless double beta decay. Then, in the basis where the mass matrices of the charged leptons and right-handed neutrinos are diagonal, for some particular texture of the Dirac neutrino mass matrixMD, the neutrinoless double beta decay can be hidden. In this paper, on top of this specified model, we study the interesting scenario thatMDfurther obeys the TM1 symmetry orμ–τreflection symmetry which are well motivated by the experimental results for the neutrino mixing parameters.

In this letter, we make an attempt to embed the μ–τ reflection symmetry (which predicts maximal atmospherical mixing angle and Dirac CP phase) in the Friedberg-Lee neutrino model (which employs a translational flavor symmetry and keeps one neutrino mass vanishing) and study the consequences of such a combination.

In the framework in which supersymmetry is used for understanding fermion masses rather than stabilizing the electroweak scale, we elaborate the phenomenological analysis for the neutrino physics. A relatively large $\sin{\theta_{13}}$ is the natural result. The model further predicts vanishingly small CP violation in neutrino oscillations. And $\theta_{23}$ is not necessarily maximal. While the high scale supersymmetry generically results in a Higgs mass of about 141 GeV, our model reduces this mass via introducing SU(2)$_L$ triplet fields which also contribute to neutrino masses., Comment: 13 pages, no figure, revtex4, revised version