Abstract
We analyze neutrino mass matrices having one texture zero, assuming that the neutrino mixing matrix has either its first (TM$_1$) or second (TM$_2$) column identical to that of the tribimaximal mixing matrix. We found that all the six possible one texture zero neutrino mass matrices are compatible with the present neutrino oscillation data when combined with TM$_1$ or TM$_2$ mixing. These textures have interesting predictions for the presently unknown parameters such as the effective Majorana neutrino mass, the Dirac CP violating phase and the neutrino mass scale. We also present a way to theoretically realize some of these textures using $A_4$ symmetry within the framework of type-I+II seesaw mechanism.
Highlights
Various neutrino oscillation experiments in the last decade or so have measured the three lepton mixing angles, and it is clear that the flavor mixing in the lepton sector is quite large as compared to the quark sector
We studied the implications of having one texture zero in the neutrino mass matrix along with TM1=TM2 mixing
The presence of a texture zero in the neutrino mass matrix leads to relations between neutrino masses and mixing matrix elements, whereas TM1=TM2 mixing implies relations between mixing angles
Summary
Various neutrino oscillation experiments in the last decade or so have measured the three lepton mixing angles, and it is clear that the flavor mixing in the lepton sector is quite large as compared to the quark sector. Recent neutrino oscillation experiments have found θ13 to be nonzero [3], necessitating some modifications to the TBM mixing scheme to make it compatible with the present experimental data. In this context, it has been observed that the first or the second column of TBM mixing matrix can still accommodate the recent neutrino oscillation data [4]. In the basis where the charged lepton mass matrix is diagonal there are seven patterns of two texture zeros which are compatible with the current neutrino oscillation data [6]. All of these are compatible with the present experimental data [9]. Neutrino mass matrices with two texture zeros in combination with TM2 mixing have been studied in Ref. [10], where it has been found that only two patterns, namely A1 and A2 (with texture zeros at (1,1), (1,2), and (1,1), (1,3) entries, respectively), can satisfy the present
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