scholarly journals Seesaw model and two zero flavor neutrino texture

2017 ◽  
Vol 32 (06n07) ◽  
pp. 1750034 ◽  
Author(s):  
Teruyuki Kitabayashi ◽  
Masaki Yasuè
Keyword(s):  
Beta Decay ◽  
Neutrino Mass ◽  
Mass Formula ◽  
Mass Matrix ◽  
Neutrinoless Double Beta Decay ◽  
Double Beta Decay ◽  
Neutrino Mass Matrix ◽  
Seesaw Mechanism ◽  
Matrix Formula ◽  
Matrix Scheme

In the two zero flavor neutrino mass matrix scheme with nonvanishing Majorana effective mass [Formula: see text] for the neutrinoless double beta decay, four textures are compatible with observed data. We obtain the complete list of the possible textures of four zero Dirac neutrino mass matrix [Formula: see text] in the seesaw mechanism providing these four flavor neutrino textures. Explicit analytical analysis of [Formula: see text] turns out to provide the relation of [Formula: see text].

Trimaximal mixing with one texture zero of the inverse neutrino mass matrix

2020 ◽  
Vol 35 (07) ◽  
pp. 2050039
Author(s):  
Zhen-Hua Zhao ◽  
Xin Zhang ◽  
Shan-Shan Jiang ◽  
Chong-Xing Yue
Keyword(s):  
Neutrino Mass ◽  
Mass Formula ◽  
Mass Matrix ◽  
Mass Scale ◽  
Double Beta Decay ◽  
Neutrino Mass Matrix ◽  
Inverse Matrix ◽  
Texture Zero ◽  
Matrix Formula ◽  
Absolute Neutrino Mass

In this paper, we study the phenomenological implications of enforcing one texture zero on the inverse matrix of the neutrino mass matrix [Formula: see text] that can lead to the trimaximal mixing. It is found that the condition of [Formula: see text], [Formula: see text], [Formula: see text], [Formula: see text] or [Formula: see text] can hold in the case of normal neutrino mass ordering, while the condition of [Formula: see text], [Formula: see text], [Formula: see text], [Formula: see text] or [Formula: see text] can hold in the case of inverted neutrino mass ordering, where [Formula: see text] (for [Formula: see text], [Formula: see text]) denotes the [Formula: see text] entry of the inverse matrix of [Formula: see text]. The ranges of the absolute neutrino mass scale and three CP phases for these cases to hold are studied in some detail. The implications of these cases for the effective neutrino mass [Formula: see text] which controls the rates of the neutrino-less double beta decay processes are also given.

scholarly journals NEUTRINO PARAMETER SPACE FOR A VANISHING ee ELEMENT IN THE NEUTRINO MASS MATRIX

2007 ◽  
Vol 22 (19) ◽  
pp. 1401-1410 ◽  
Author(s):  
S. DEV ◽  
SANJEEV KUMAR
Keyword(s):  
Beta Decay ◽  
Neutrino Mass ◽  
Parameter Space ◽  
Mass Matrix ◽  
Neutrinoless Double Beta Decay ◽  
Double Beta Decay ◽  
Neutrino Mass Matrix ◽  
Majorana Mass ◽  
Texture Zero ◽  
Majorana Neutrinos

The consequences of a texture zero at the ee entry of neutrino mass matrix in the flavor basis, which also implies a vanishing effective Majorana mass for neutrinoless double beta decay, have been studied for Majorana neutrinos. The neutrino parameter space under this condition has been constrained in the light of all available neutrino data including the CHOOZ bound on [Formula: see text].

scholarly journals Super-Kamiokande neutrino oscillations and the supersymmetric model

2020 ◽  
Vol 9 ◽  
pp. 14
Author(s):  
A. Faessler
Keyword(s):  
Beta Decay ◽  
Neutrino Mass ◽  
Mass Matrix ◽  
Neutrinoless Double Beta Decay ◽  
Double Beta Decay ◽  
Electron Neutrino ◽  
Tree Level ◽  
Supersymmetric Model ◽  
Neutrino Masses ◽  
Muon Neutrinos

The standard model predicts a ratio of 2 for the number of atmospheric muon to electron neutrinos, while super-Kamiokande and others measure a much smaller value (1.30±0.02 for super-Kamiokande). Super-Kamiokande is also able to measure roughly the direction and the energy of the neutrinos. The zenith-angle dependence for the muon neutrinos suggests that the muon neutrinos oscillate into a third neutrino species, either into the r neutrino or a sterile neutrino. This finding is inves- tigated within the supersymmetric model. The neutrinos mix with the neutralinos, this meaning the wino, the bino and the two higgsinos. The 7 x 7 mass matrix is calculated on the tree level. One finds that the mass matrix has three linearly dependent rows, which means that two masses are zero. They are identified with the two lightest neutrino masses. The fit of the super-Kamiokande data to oscillations between three neutrinos yields, together with the result of supersymmetry, that the third neutrino mass lies between 2x10^-2 and 10^-1 eV. The two lightest neutrino masses are in supersymmetry on the tree level zero. The averaged electron neutrino mass which is the essential parameter in the neutrinoless double-beta decay is given by {m_ve) ~ m_v3 P_ze < 0.8 x10^-2 eV (95% confidence limit). It is derived from the super-Kamiokande data in this supersymmetric model to be two orders smaller than the best value (1 eV) from the neutrinoless double-beta decay.

scholarly journals Hybrid textures of neutrino mass matrix under the lamppost of latest neutrino and cosmology data

2016 ◽  
Vol 31 (06) ◽  
pp. 1650008 ◽  
Author(s):  
Rupam Kalita ◽  
Debasish Borah
Keyword(s):  
Neutrino Mass ◽  
Parameter Space ◽  
Mass Formula ◽  
Mass Matrix ◽  
Zero Element ◽  
Baryon Asymmetry ◽  
Double Beta Decay ◽  
Neutrino Mass Matrix ◽  
Type I ◽  
Mass Matrices

In this paper, we study all possible neutrino mass matrices with one zero element and two equal nonzero elements, known as hybrid texture neutrino mass matrices. In the diagonal charged lepton basis, we consider 39 such possible cases which are consistent with the latest neutrino data. Using the two constraints on neutrino mass matrix elements imposed by hybrid textures, we numerically evaluate the neutrino parameters like the lightest neutrino mass [Formula: see text], one Dirac CP phase [Formula: see text] and two Majorana CP phases [Formula: see text], [Formula: see text] by using the global fit [Formula: see text] values of three mixing angles and two mass squared differences. We then constrain this parameter space by using the cosmological upper bound on the sum of absolute neutrino masses given by Planck experiment. We also calculate the effective neutrino mass [Formula: see text] for this region of parameter space which can have relevance in future neutrinoless double beta decay experiments. We finally discriminate between these hybrid texture mass matrices from the requirement of producing correct baryon asymmetry through type I seesaw leptogenesis. We also constrain the light neutrino parameter space as well as the lightest right-handed neutrino mass from the constraint on baryon asymmetry of the Universe from Planck experiment.

scholarly journals BOUNDS FOR NEUTRINOLESS DOUBLE BETA DECAY IN SO(10) INSPIRED SEESAW MODELS

2004 ◽  
Vol 19 (40) ◽  
pp. 2993-3000 ◽  
Author(s):  
F. BUCCELLA ◽  
D. FALCONE
Keyword(s):  
Gauge Theory ◽  
Matrix Element ◽  
Beta Decay ◽  
Neutrino Mass ◽  
Quark Mass ◽  
Mass Matrix ◽  
Neutrinoless Double Beta Decay ◽  
Double Beta Decay ◽  
Up Quark ◽  
The Matrix

By requiring the lower limit for the lightest right-handed neutrino mass, obtained in the baryogenesis from leptogenesis scenario, and a Dirac neutrino mass matrix similar to the up-quark mass matrix, we predict small values for the νe mass and for the matrix element mee responsible of the neutrinoless double beta decay, mνe around 5×10-3 eV and mee smaller than 10-3 eV , respectively. The allowed range for the mass of the heaviest right-handed neutrino is centered around the value of the scale of B–L breaking in the SO (10) gauge theory with Pati–Salam intermediate symmetry.

Sign in / Sign up

Export Citation Format

Share Document