Zeroes of the neutrino mass matrix

Frampton, Paul H.; Glashow, Sheldon L.; Marfatia, Danny

doi:10.1016/s0370-2693(02)01817-8

Cited by 385 publications

(579 citation statements)

References 4 publications

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“…Apart from being interesting in itself, several scalar triplets naturally occur in models for neutrino masses and lepton mixing based on the type II seesaw mechanism. In particular, it has been shown that in such a scenario a realization of viable neutrino mass matrices with two texture zeros [24][25][26][27][28][29], 1 using symmetry arguments [34], requires two or three scalar triplets [35]. In this paper, we take up the case of two coexisting triplets.…”

Section: Jhep02(2014)060mentioning

confidence: 99%

Doubly charged scalar decays in a type II seesaw scenario with two Higgs triplets

Chaudhuri

Grimus

Mukhopadhyaya

2014

J. High Energ. Phys.

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The type II seesaw mechanism for neutrino mass generation usually makes use of one complex scalar triplet. The collider signature of the doubly-charged scalar, the most striking feature of this scenario, consists mostly in decays into same-sign dileptons or same-sign W boson pairs. However, certain scenarios of neutrino mass generation, such as those imposing texture zeros by a symmetry mechanism, require at least two triplets in order to be consistent with the type II seesaw mechanism. We develop a model with two such complex triplets and show that, in such a case, mixing between the triplets can cause the heavier doubly-charged scalar mass eigenstate to decay into a singly-charged scalar and a W boson of the same sign. Considering a large number of benchmark points with different orders of magnitude of the ∆L = 2 Yukawa couplings, chosen in agreement with the observed neutrino mass and mixing pattern, we demonstrate that H ++ 1 → H + 2 W + can have more than 99% branching fraction in the cases where the vacuum expectation values of the triplets are small. It is also shown that the above decay allows one to differentiate a two-triplet case at the LHC, through the ratios of events in various multi-lepton channels.

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Section: Jhep02(2014)060mentioning

confidence: 99%

Doubly charged scalar decays in a type II seesaw scenario with two Higgs triplets

Chaudhuri

Grimus

Mukhopadhyaya

2014

J. High Energ. Phys.

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“…[25,33] discuss gauged U(1) L μ −L τ models where neutrino masses are radiatively induced at one-loop level. It turns out that the neutrino-mass matrices in these models have the form of the two-zero texture [62][63][64][65][66], which predicts IO for neutrino-mass spectrum. Thus, the determination of neutrino-mass hierarchy in future neutrino experiments allows us to distinguish this class of models from the minimal model, where NO is predicted as we have seen above.…”

Section: Introductionmentioning

confidence: 99%

Predictions for the neutrino parameters in the minimal gauged $$\hbox {U}(1)_{L_\mu -L_\tau }$$ U ( 1 ) L μ - L τ model

2017

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We study the structure of the neutrino-mass matrix in the minimal gauged U(1) L μ −L τ model, where three right-handed neutrinos are added to the Standard Model in order to obtain non-zero masses for the active neutrinos. Because of the U(1) L μ −L τ gauge symmetry, the structure of both Dirac and Majorana mass terms of neutrinos is tightly restricted. In particular, the inverse of the neutrinomass matrix has zeros in the (μ, μ) and (τ, τ ) components, namely, this model offers a symmetric realization of the socalled two-zero-minor structure in the neutrino-mass matrix. Due to these constraints, all the CP phases -the Dirac CP phase δ and the Majorana CP phases α 2 and α 3 -as well as the mass eigenvalues of the light neutrinos m i are uniquely determined as functions of the neutrino mixing angles θ 12 , θ 23 , and θ 13 , and the squared mass differences m 2 21 and m 2 31 . We find that this model predicts the Dirac CP phase δ to be δ 1.59π -1.70π (1.54π -1.78π ), the sum of the neutrino masses to be i m i 0.14-0.22 eV (0.12-0.40 eV), and the effective mass for the neutrinoless double-beta decay to be m ββ 0.024-0.055 eV (0.017-0.12 eV) at 1σ (2σ ) level, which are totally consistent with the current experimental limits. These predictions can soon be tested in future neutrino experiments. Implications for leptogenesis are also discussed.

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“…Our approach is a combination of two very different approaches to lepton flavor: (a) texture-zeros that increase predictivity and relate mixing angles with masses [26][27][28][29][30] and (b) symmetries that fully or partly determine the mixing structure independently of the masses [10,11,31]. The former usually requires abelian symmetries [32] while the latter requires nonabelian discrete symmetries [10,11].…”

Section: Introductionmentioning

confidence: 99%

Mu-tau reflection symmetry with a texture-zero

Nishi

Sánchez-Vega

2017

J. High Energ. Phys.

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Abstract:The µτ -reflection symmetry is a simple symmetry capable of predicting all the unknown CP phases of the lepton sector and the atmospheric angle but too simple to predict the absolute neutrino mass scale or the mass ordering. We show that by combining it with a discrete abelian symmetry in a nontrivial way we can additionally enforce a texture-zero and obtain a highly predictive scenario where the lightest neutrino mass is fixed to be in the few meV range for two normal ordering (NO) solutions or in the tens of meV in one inverted ordering (IO) solution. The rate for neutrinoless double beta decay is predicted to be negligible for NO or have effective mass m ββ ≈ 14-29 meV for IO, right in the region to be probed in future experiments.

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Zeroes of the neutrino mass matrix

Cited by 385 publications

References 4 publications

Doubly charged scalar decays in a type II seesaw scenario with two Higgs triplets

Doubly charged scalar decays in a type II seesaw scenario with two Higgs triplets

Predictions for the neutrino parameters in the minimal gauged $$\hbox {U}(1)_{L_\mu -L_\tau }$$ U ( 1 ) L μ - L τ model

Mu-tau reflection symmetry with a texture-zero

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