scholarly journals Nonzeroθ13with unbrokenμ−τsymmetry of the active neutrino mass matrix in the presence of a light sterile neutrino

2017 ◽  
Vol 95 (3) ◽  
Author(s):  
Debasish Borah
Keyword(s):  
Neutrino Mass ◽  
Sterile Neutrino ◽  
Mass Matrix ◽  
Neutrino Mass Matrix ◽  
Active Neutrino

scholarly journals Understanding the masses and mixings of one-zero textures in 3+1 scenario

2016 ◽  
Vol 31 (24) ◽  
pp. 1650132 ◽  
Author(s):  
Newton Nath ◽  
Monojit Ghosh ◽  
Shivani Gupta
Keyword(s):  
Mass Spectrum ◽  
Neutrino Mass ◽  
Sterile Neutrino ◽  
Mass Matrix ◽  
Neutrino Mass Matrix ◽  
Neutrino Sector ◽  
Mixing Parameters ◽  
Active Neutrino ◽  
Matrix Formula ◽  
The Masses

We present a detailed analysis and phenomenological consequences of neutrino mass matrix, [Formula: see text], with one-zero texture in the flavor basis where the active neutrino sector is extended by one sterile neutrino (3[Formula: see text]+[Formula: see text]1 case). In particular, our aim is to explore behavior of the sterile mixing parameters in detail when one of the elements of the neutrino mass matrix goes to zero. To study this, we consider two distinct mass spectrum of the active neutrinos: (i) completely hierarchical mass spectrum with a vanishing neutrino mass and (ii) completely quasidegenerate mass spectrum. In 3[Formula: see text]+[Formula: see text]1 scenario, the low energy neutrino mass matrix, [Formula: see text], is a [Formula: see text] matrix and has 10 independent elements. Thus it can have 10 possible one-zero textures. From the earlier studies it can be inferred that, if one assumes one vanishing neutrino mass, then only seven of these [Formula: see text] are phenomenologically allowed by the current neutrino oscillation data. On the other hand, if the neutrinos are quasidegenerate then there are eight phenomenologically viable one-zero textures. In this paper, we study the correlations between the sterile mixing parameters for each of these allowed textures for both mass spectrum and also their implications on the effective Majorana mass.

scholarly journals LARGE MIXING FROM SMALL: PSEUDO-DIRAC NEUTRINOS AND THE SINGULAR SEE-SAW

2005 ◽  
Vol 20 (28) ◽  
pp. 6373-6390 ◽  
Author(s):  
G. J. STEPHENSON ◽  
T. GOLDMAN ◽  
B. H. J. MCKELLAR ◽  
M. GARBUTT
Keyword(s):  
Neutrino Mass ◽  
Sterile Neutrino ◽  
Mass Matrix ◽  
Small Mass ◽  
Neutrino Mass Matrix ◽  
Numerical Examples ◽  
Mixing Parameters ◽  
Experimental Resolution ◽  
Active Mixing

If the sterile neutrino mass matrix in an otherwise conventional see-saw model has a rank less than the number of flavors, it is possible to produce pseudo-Dirac neutrinos. In a two-flavor, sterile rank 1 case, we demonstrate analytic conditions for large active mixing induced by the existence of (and coupling to) the sterile neutrino components. For the three-flavor, rank 1 case, "3+2" scenarios with large mixing also devolve naturally as we show by numerical examples. We observe that, in this approach, small mass differences can develop naturally without any requirement that masses themselves are small. Additionally, we point out that significant three-channel mixing and limited experimental resolution can combine to produce extracted two-channel mixing parameters at variance with the actual values.

Study of texture zeros of fermion mass matrices in minimal extended seesaw mechanism and symmetry realization

2017 ◽  
Vol 32 (27) ◽  
pp. 1750168 ◽  
Author(s):  
Mahadev Patgiri ◽  
Priyanka Kumar ◽  
Debojit Sarma
Keyword(s):  
Neutrino Mass ◽  
Sterile Neutrino ◽  
Mass Matrix ◽  
Scalar Fields ◽  
Neutrino Mass Matrix ◽  
Fermion Mass ◽  
Type I ◽  
Mass Matrices ◽  
Matrix Formula ◽  
The One

In our work, we study the texture zeros of [Formula: see text] in the minimal extended type-I seesaw (MES) with incorporating one extra gauge singlet field “[Formula: see text]”. The MES models deal with the Dirac neutrino mass matrix [Formula: see text], the right-handed Majorana mass matrix [Formula: see text] and the sterile neutrino mass matrix [Formula: see text]. We carry out the mapping of all possible zero textures of [Formula: see text], [Formula: see text] and [Formula: see text] for phenomenologically predictive cases having total eight zeros of [Formula: see text] and [Formula: see text] studied in the literature. With this motivation, we consider (a) [Formula: see text] scheme, (b) [Formula: see text] scheme and (c) [Formula: see text] scheme, where the digits of a pair represent the number of zeros of [Formula: see text] and [Formula: see text], respectively along with the one zero and two zero textures of [Formula: see text]. There are a large number of possibilities of zeros of fermion mass matrices but the implementation of [Formula: see text] transformations reduces it to a very minimum number of basic structures. Interestingly out of four allowed one zero textures of [Formula: see text] without sterile neutrino, only three cases ([Formula: see text], [Formula: see text] and [Formula: see text]) are allowed in MES mechanism for the [Formula: see text] and [Formula: see text] schemes. We find some correlations for different combination of [Formula: see text], [Formula: see text] and [Formula: see text] on enforcement of zeros. We examined all the correlations under the recent neutrino oscillation data and find that only [Formula: see text] survives while both [Formula: see text] and [Formula: see text] are ruled out. Interestingly the one zero textures inherently represent the inverted hierarchy of the mass ordering of light neutrinos. No two zero textures of [Formula: see text] survive in MES although there are a number of allowed structures phenomenologically. The allowed texture zeros are finally realized using a discrete Abelian flavor symmetry group [Formula: see text] with the extension of standard model to include some scalar fields.

scholarly journals Embedding the texture of the neutrino mass matrix into the MaVaNs scenario

2006 ◽  
Vol 2006 (01) ◽  
pp. 042-042 ◽  
Author(s):  
Mizue Honda ◽  
Ryo Takahashi ◽  
Morimitsu Tanimoto
Keyword(s):  
Neutrino Mass ◽  
Mass Matrix ◽  
Neutrino Mass Matrix

scholarly journals Broken S3 symmetry in the neutrino mass matrix

2011 ◽  
Vol 702 (1) ◽  
pp. 28-33 ◽  
Author(s):  
S. Dev ◽  
Shivani Gupta ◽  
Radha Raman Gautam
Keyword(s):  
Neutrino Mass ◽  
Mass Matrix ◽  
Neutrino Mass Matrix

scholarly journals (Z2)3symmetry of the nontribimaximal pattern for the neutrino mass matrix

2012 ◽  
Vol 86 (3) ◽  
Author(s):  
E. I. Lashin ◽  
M. Abbas ◽  
N. Chamoun ◽  
S. Nasri
Keyword(s):  
Neutrino Mass ◽  
Mass Matrix ◽  
Neutrino Mass Matrix

scholarly journals Radiative and seesaw threshold corrections to theS3symmetric neutrino mass matrix

2015 ◽  
Vol 740 ◽  
pp. 353-358 ◽  
Author(s):  
Shivani Gupta ◽  
C.S. Kim ◽  
Pankaj Sharma
Keyword(s):  
Neutrino Mass ◽  
Mass Matrix ◽  
Neutrino Mass Matrix

scholarly journals HIDING THE EXISTENCE OF A FAMILY SYMMETRY IN THE STANDARD MODEL

2005 ◽  
Vol 20 (36) ◽  
pp. 2767-2774 ◽  
Author(s):  
ERNEST MA
Keyword(s):  
Standard Model ◽  
Neutrino Mass ◽  
Mass Matrix ◽  
Higgs Sector ◽  
Higgs Doublet ◽  
Neutrino Mass Matrix ◽  
Tree Level ◽  
Family Symmetry ◽  
The Standard Model

If a family symmetry exists for the quarks and leptons, the Higgs sector is expected to be enlarged to be able to support the transformation properties of this symmetry. There are, however, three possible generic ways (at tree level) of hiding this symmetry in the context of the Standard Model with just one Higgs doublet. All three mechanisms have their natural realizations in the unification symmetry E6 and one in SO (10). An interesting example based on SO (10)×A4 for the neutrino mass matrix is discussed.

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