Majorana neutrino mass matrices with three texture zeros and the sterile neutrino

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.

35 pages, 7 figures, minor typos corrected, references added and updated, version to appear in PRD

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Cited by in corpus (5)

• Texture zeros of low-energy Majorana neutrino mass matrix in 3+1 scheme
• Deviations in Tribimaximal Mixing From Sterile Neutrino Sector
• $B-L$ model with $A_4\times Z_3\times Z_4$ symmetry for $3+1$ active$-$sterile neutrino mixing
• New mixing schemes for (3+1) neutrinos
• Theoretical and phenomenological consequences of active and sterile neutrino within Beyond Standard Model framework