scholarly journals On Yukawa Couplings in the Zee-Babu Model

2013 ◽  
Vol 23 (3) ◽  
pp. 193
Author(s):  
Hoang Ngoc Long ◽  
Vo Van Vien

The exact solution for neutrino mass matrix of the Zee-Babu modelis derived. The tribimaximal mixing imposes  the conditions on the Yukawa couplings, from  which the normal mass hierarchy ispreferred. The derived conditions give a possibility of maximal \(CP\) violation in the neutrino sector.

2014 ◽  
Vol 29 (13) ◽  
pp. 1450072 ◽  
Author(s):  
Hoang Ngoc Long ◽  
Vo Van Vien

The exact solution for the neutrino mass matrix of the Zee–Babu model is derived. Tribimaximal mixing imposes conditions on the Yukawa couplings, from which the normal mass hierarchy is preferred. The derived conditions give a possibility of Majorana maximal CP violation in the neutrino sector. We have shown that nonzero θ13 is generated if Yukawa couplings between leptons almost equal to each other. The model gives some regions of the parameters where neutrino mixing angles and the normal neutrino mass hierarchy obtained are consistent with the recent experimental data.


2010 ◽  
Vol 25 (18n19) ◽  
pp. 3661-3673 ◽  
Author(s):  
YOSHIO KOIDE ◽  
HIROYUKI NISHIURA

Based on a neutrino mass matrix model in which a 2 ↔ 3 symmetry is only broken by a phase parameter, it is investigated how the lepton mixing matrix can deviate from the so-called tribimaximal mixing under a condition that CP is maximally violated.


2020 ◽  
Vol 35 (20) ◽  
pp. 2050165 ◽  
Author(s):  
Surender Verma ◽  
Monal Kashav

We have investigated the phenomenological implications of texture one-zero neutrino mass matrix under the lamp post of the latest data on neutrino mass and mixings. In particular, we have obtained the predictions of the model for, yet unknown observables like neutrino mass hierarchy, [Formula: see text]-octant and CP violation. Out of the six texture one-zero neutrino mass models, [Formula: see text], [Formula: see text] and [Formula: see text] are found to be necessarily CP violating. [Formula: see text] can be above or below maximality except for the texture [Formula: see text] (with NH), wherein [Formula: see text] at [Formula: see text]. Also, we have proposed a flavor model based on the non-Abelian group [Formula: see text] within the paradigm of type-I+II seesaw framework, wherein such textures can be realized.


2019 ◽  
Vol 34 (19) ◽  
pp. 1950098 ◽  
Author(s):  
Teruyuki Kitabayashi

As the first topic, we propose a new parametrization of the complex Yukawa matrix in the scotogenic model. The new parametrization is compatible with the particle data group parametrization of the neutrino sector. Some analytical expressions for the neutrino masses with the new parametrization are shown. As the second topic, we consider the phenomenology of the scotogenic model with the one-zero-textures of the neutrino flavor mass matrix. One of the six patterns of the neutrino mass matrix is favorable for the real Yukawa matrix. On the other hand, for the complex Yukawa matrix, five of the six patterns are compatible with observations of the neutrino oscillations, dark matter relic abundance and branching ratio of the [Formula: see text] process.


2020 ◽  
Vol 35 (29) ◽  
pp. 2050183
Author(s):  
Yuta Hyodo ◽  
Teruyuki Kitabayashi

The magic texture is one of the successful textures of the flavor neutrino mass matrix for the Majorana type neutrinos. The name “magic” is inspired by the nature of the magic square. We estimate the compatibility of the magic square with the Dirac, instead of the Majorana, flavor neutrino mass matrix. It turned out that some parts of the nature of the magic square are appeared approximately in the Dirac flavor neutrino mass matrix and the magic squares prefer the normal mass ordering rather than the inverted mass ordering for the Dirac neutrinos.


2014 ◽  
Vol 29 (22) ◽  
pp. 1450108 ◽  
Author(s):  
Debasish Borah

We discuss the possible origin of nonzero reactor mixing angle θ13 and Dirac CP phase δ CP in the leptonic sector from a combination of type I and type II seesaw mechanisms. Type I seesaw contribution to neutrino mass matrix is of tri-bimaximal (TBM) type which gives rise to vanishing θ13 leaving the Dirac CP phase undetermined. If the Dirac neutrino mass matrix is assumed to take the diagonal charged lepton (CL) type structure, such a TBM type neutrino mass matrix originating from type I seesaw corresponds to real values of Dirac Yukawa couplings in the terms [Formula: see text]. This makes the process of right-handed heavy neutrino decay into a light neutrino and Higgs (N → νH) CP preserving ruling out the possibility of leptogenesis. Here we consider the type II seesaw term as the common origin of nonzero θ13 and δ CP by taking it as a perturbation to the leading order TBM type neutrino mass matrix. First, we numerically fit the type I seesaw term by taking oscillation as well as cosmology data and then compute the predictions for neutrino parameters after the type II seesaw term is introduced. We consider a minimal structure of the type II seesaw term and check whether the predictions for neutrino parameters lie in the 3σ range. We also compute the predictions for baryon asymmetry of the universe by considering type II seesaw term as the only source of CP violation and compare it with the latest cosmology data.


2006 ◽  
Vol 21 (27) ◽  
pp. 2027-2041 ◽  
Author(s):  
ADRIAN PALCU

The mass splittings for the Majorana neutrinos in the exact solution of a particular 3-3-1 gauge model are computed in detail. Since both sin2θ13≃0 and the mass splitting ratio rΔ≃0.033 are taken into account as phenomenological evidence, the analytical calculations in the leading order seem to predict an inverted mass hierarchy and a matrix with a texture based on a very close approximation to the bi-maximal mixing. The resulting formulas for the mass squared differences can naturally accommodate the available data if the unique free parameter a of the model gets very small values ~ 10-15. Consequently, the smallness of the parameter requires (according to our method) a large breaking scale 〈ϕ〉 ~ 106–107TeV. Hence, the results concerning the neutrino mass splittings lead to a more precise tuning in the exact solution of the 3-3-1 model and enable it — at the same time — to recover all the Standard Model phenomenology and predict the mass spectrum of the new gauge bosons Z′, X, Y in accordance with the actual data. The minimal absolute mass in the neutrino sector is also obtained, m0≃0.0035 eV, in the case of our suitable approximation for the bi-maximal mixing.


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