Zero Textures of the Neutrino Mass Matrix from Cyclic Family Symmetry

Department of Physics, Himachal Pradesh University, Shimla 171005, India
Physics Letters B (Impact Factor: 6.02). 06/2011; 701(5). DOI: 10.1016/j.physletb.2011.06.046
Source: arXiv

ABSTRACT We present the symmetry realization of the phenomenologically viable
Frampton-Glashow-Marfatia (FGM) two zero texture neutrino mass matrices in the
flavor basis within the framework of the type (I+II) seesaw mechanism natural
to SO(10) grand unification. A small Abelian cyclic symmetry group $Z_3$ is
used to realize these textures except for class C for which the symmetry is
enlarged to $Z_4$. The scalar sector is restricted to the Standard Model (SM)
Higgs doublet to suppress the flavor changing neutral currents. Other scalar
fields used for symmetry realization are at the most two scalar triplets and,
in some cases, a complex scalar singlet. Symmetry realization of one zero
textures has, also, been presented.

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    ABSTRACT: As a consequence of the LSND anomaly and other hints of an eV scale sterile neutrino from particle physics and cosmology, the neutrino sector of the standard model of particle physics has to be extended and the smallest extension is the (3+1) model, i.e. three active neutrinos plus one sterile one. In this work we study the neutrino mass matrix $M_\nu$ with three texture zeros in the (3+1) model, assuming all the neutrino states are of Majorana type. With the mass hierarchy between the active and sterile neutrinos as well as the smallness of the reactor neutrino mixing and active-sterile mixing, the analytical expressions can be greatly simplified. We systematically examine all the 120 texture zeros, via both analytical and numerical analysis, and find that the 100 textures with zeros in the fourth column and row of $M_\nu$ can hardly be compatible with experiments whereas 19 of the other 20 are feasible. We can foresee that the active neutrino masses are required to be around 0.01 eV and the next generation neutrinoless double beta decay experiments are promising to test these textures. Many other phenomenologically meaningful predictions are also obtained. All the CP conserving (3+1) textures with three zeros are excluded by experiments.
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    ABSTRACT: We perform a systematic study of neutrino mass matrices having a vanishing cofactor and an equality between two cofactors of the mass matrix. Such texture structures of the effective neutrino mass matrix arise from type-I seesaw mechanism when the Dirac neutrino mass matrix is diagonal with equal elements and the right-handed Majorana neutrino mass matrix has hybrid textures with one equality of matrix elements and one zero matrix element. For three right-handed neutrinos there are sixty possible hybrid textures out of which only six are excluded by the present experimental data. We show that such textures can be derived using discrete symmetries. The predictions of experimentally allowed textures are examined for unknown parameters such as the effective Majorana mass of the electron neutrino and the Dirac-type CP-violating phase.
    Physical Review D 06/2013; 88(3). · 4.86 Impact Factor
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