Article

# 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: 6.13). 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.

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:**In view of the latest T2K and MINOS neutrino oscillation data which hint at a relatively large theta_13, we perform a systematic study of the Majorana neutrino mass matrix M_nu with two independent texture zeros. We show that three neutrino masses (m_1, m_2, m_3) and three CP-violating phases (delta, rho, sigma) can fully be determined from two neutrino mass-squared differences (delta m^2, Delta m^2) and three flavor mixing angles (theta_12, theta_23, theta_13). We find that seven patterns of M_nu (i.e., A_{1,2}, B_{1,2,3,4} and C) are compatible with current experimental data at the 3-sigma level, but the parameter space of each pattern is more strictly constrained than before. We demonstrate that the texture zeros of M_nu are stable against the one-loop quantum corrections, and there exists a permutation symmetry between Patterns A_1 and A_2, B_1 and B_2 or B_3 and B_4. Phenomenological implications of M_nu on the neutrinoless double-beta decay and leptonic CP violation are discussed, and a realization of those texture zeros by means of the Z_n flavor symmetries is illustrated. - [Show abstract] [Hide abstract]

**ABSTRACT:**The generic predictions of inverse Majorana neutrino mass matrix, $M_{\nu}^{-1}$ with texture two zeros, in the basis where charged lepton mass matrix is diagonal, have been obtained for neutrino masses and mixings, especially, $\theta_{13}$ and CP-violating phases. Such type of mass models are natural in the context of seesaw models with Dirac neutrino mass matrix, $M_{D}$, diagonal. Out of the fifteen possible texture two zeros patterns of the inverse neutrino mass matrix only seven are found to be compatible with the available data on neutrino masses and mixings including the latest $T\emph{2}K$ observation of non-zero $\theta_{13}$. It is, also, found that $\theta_{13}=0$ is disallowed in the mass models investigated in the present work. While the neutrino mass matrices of type I and II are found to be necessarily CP violating, type III is found to be CP-violating for a special case where $\theta_{23}$ lie above maximality. The atmospheric mixing angle, $\theta_{23}$ is found to dictate the possible hierarchies in type I and II neutrino mass models. For type III, additional information regarding $m_{ee}$ will be required to rule out the inverted hierarchy (IH). A maximal $\theta_{23}$ is found to be disallowed in all types of texture two zero $M_{\nu}^{-1}$ Ans$\ddot{a}$tz. - [Show abstract] [Hide abstract]

**ABSTRACT:**A class of neutrino mass matrices with texture zeros realizable using the group $Z_3$ within the framework of type (I+II) seesaw mechanism naturally admits a non-zero $\theta_{13}$ and allows for deviations from maximal mixing. The phenomenology of this model is reexamined in the light of recent hints for non-zero $\theta_{13}$.