scholarly journals NEUTRINO MASS MATRIX FROM Δ(27) SYMMETRY

2006 ◽  
Vol 21 (25) ◽  
pp. 1917-1921 ◽  
Author(s):  
ERNEST MA
Keyword(s):  
Neutrino Mass ◽  
Simple Form ◽  
Charged Lepton ◽  
Mass Matrix ◽  
Discrete Subgroup ◽  
Majorana Neutrino ◽  
Neutrino Mass Matrix ◽  
Mass Matrices ◽  
Majorana Neutrino Mass

The discrete subgroup Δ(27) of SU(3) has some interesting properties which may be useful for understanding charged-lepton and neutrino mass matrices. Assigning leptons to the 3 and [Formula: see text] representations of Δ(27), a simple form of the Majorana neutrino mass matrix is obtained and compared to present data.

scholarly journals EXACT PARAMETRIZATION OF MAJORANA NEUTRINO MASS MATRIX WITH LARGE MIXING

1999 ◽  
Vol 14 (24) ◽  
pp. 1625-1635
Author(s):  
K. KIMURA ◽  
A. TAKAMURA
Keyword(s):  
Neutrino Mass ◽  
Simple Form ◽  
Mass Matrix ◽  
Majorana Neutrino ◽  
Neutrino Mass Matrix ◽  
Quark Sector ◽  
Mass Matrices ◽  
Experimental Values ◽  
Majorana Neutrino Mass ◽  
Physical Quantities

Under the assumption that the neutrinos are Majorana particles we study how the lepton mass matrices can be transformed into the simple form which has the same physical quantities by removing redundant parameters. We propose the exact parametrization of the lepton mass matrices which reflects the small νe-νμ mixing and the large νμ-ντ mixing. The relations between the 12 parameters and the physical quantities are shown. Furthermore we calculate the MNS matrix by applying the assumptions used in the quark sector. Finally we also check the validity of these assumptions from the experimental values.

scholarly journals BIMAXIMAL MIXINGS FROM THE TEXTURE OF THE RIGHT-HANDED MAJORANA NEUTRINO MASS MATRIX

2002 ◽  
Vol 17 (25) ◽  
pp. 3629-3640 ◽  
Author(s):  
N. NIMAI SINGH ◽  
MAHADEV PATGIRI
Keyword(s):  
Neutrino Mass ◽  
Mass Matrix ◽  
Atmospheric Neutrino ◽  
Majorana Neutrino ◽  
Neutrino Mass Matrix ◽  
Diagonal Form ◽  
Dirac Neutrino ◽  
Mass Matrices ◽  
The Right ◽  
Majorana Neutrino Mass

We study the origin of neutrino masses and mixing angles which can accommodate the LMA MSW solutions of the solar neutrino anomaly as well as the solution of the atmospheric neutrino problem, within the framework of the see-saw mechanism. We employ the diagonal form of the Dirac neutrino mass matrices with the physical masses as diagonal elements in the hierarchical order. Such a choice has been motivated from the fact that the known CKM angles for the quark sector, are relatively small. We consider both possibilities where the Dirac neutrino mass matrix is either the charged lepton or the up-quark mass matrix within the framework of SO(10) GUT with or without supersymmetry. The nonzero texture of the right-handed Majorana neutrino mass matrix M R is used for the generation of the desired bimaximal mixings in a model independent way. Both hierarchical and inverted hierarchical models of the left-handed Majorana neutrino mass matrices are generated and then discussed with examples. The see-saw mass scale which is kept as a free parameter, is predicted in all the examples.

scholarly journals Implications of CP invariants for the flavored hybrid neutrino mass matrix

2020 ◽  
Vol 2020 (9) ◽  
Author(s):  
Madan Singh ◽  
Keyword(s):  
Neutrino Mass ◽  
Mass Matrix ◽  
Majorana Neutrino ◽  
Neutrino Mass Matrix ◽  
Sufficient Condition ◽  
Necessary And Sufficient Condition ◽  
Weak Basis ◽  
Low Energies ◽  
Necessary And Sufficient ◽  
Majorana Neutrino Mass

Abstract We re-examine the weak basis invariants at low energies proposed by C. Jarlskog and Branco et al. in their earlier analyses, after confronting them with the assumptions of two zeros and an equality between arbitrary non-zero elements in the Majorana neutrino mass matrix in the flavored basis. This particular conjecture is found to be experimentally feasible, as shown by S. Dev and D. Raj in their recent work. The present analysis attempts to find the necessary and sufficient condition for CP invariance for each experimentally viable ansatz pertaining to the model, along with some important implications.

scholarly journals Texture zeros of low-energy Majorana neutrino mass matrix in 3+1 scheme

2017 ◽  
Vol 96 (5) ◽  
Author(s):  
Debasish Borah ◽  
Monojit Ghosh ◽  
Shivani Gupta ◽  
Sushant K. Raut
Keyword(s):  
Neutrino Mass ◽  
Mass Matrix ◽  
Majorana Neutrino ◽  
Neutrino Mass Matrix ◽  
Low Energy ◽  
Majorana Neutrino Mass

scholarly journals μ − τ reflection symmetry and its explicit breaking for leptogenesis in a minimal seesaw model

2019 ◽  
Vol 34 (39) ◽  
pp. 1950329 ◽  
Author(s):  
Newton Nath
Keyword(s):  
Neutrino Mass ◽  
Mass Matrix ◽  
Majorana Neutrino ◽  
Neutrino Mass Matrix ◽  
Type I ◽  
Reflection Symmetry ◽  
Matrix Formula ◽  
Set Up ◽  
Majorana Neutrino Mass ◽  
The Given

The minimal seesaw framework, embroiling the Dirac neutrino mass matrix [Formula: see text] and the Majorana neutrino mass matrix [Formula: see text], is quite successful to explain the current global-fit results of neutrino oscillation data. In this context, we consider the most predictive forms of [Formula: see text] and [Formula: see text] with two simple parameters, respectively. Considering these matrices, we obtain the low-energy neutrino mass matrix under type-I seesaw formalism which obeys [Formula: see text] reflection symmetry and predicts [Formula: see text] and [Formula: see text]. In the given set-up, we also evaluate the Baryon Asymmetry of the Universe (BAU) through successful leptogenesis and find that perturbation of [Formula: see text] leads to the observed BAU and breaks exactness of the symmetry. Moreover, we also perform various correlation studies among different parameters in the framework of broken symmetry.

scholarly journals The Texture One-Zero Neutrino Mass Matrix with Vanishing Trace

2018 ◽  
Vol 2018 ◽  
pp. 1-13 ◽  
Author(s):  
Madan Singh
Keyword(s):  
Experimental Data ◽  
Neutrino Mass ◽  
Confidence Level ◽  
Mass Matrix ◽  
Majorana Neutrino ◽  
Neutrino Mass Matrix ◽  
Current Experimental Data ◽  
The One ◽  
Zero Sum ◽  
Majorana Neutrino Mass

In the light of latest neutrino oscillation data, we have investigated the one-zero Majorana neutrino mass matrix Mν with zero sum condition of mass eigenvalues in the flavor basis, where charged lepton mass matrix is diagonal. Among the six possible one-zero cases, it is found that only five can survive the current experimental data, while case with (1, 1) vanishing element of Mν is ruled out, if zero trace condition is imposed at 3σ confidence level (CL). Numerical and some approximate analytical results are presented.

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