Zeros in the magic neutrino mass matrix

Abstract

We study the phenomenological implications of the presence of two zeros in a magic neutrino mass matrix. We find that only two such patterns of the neutrino mass matrix are experimentally acceptable. We express all the neutrino observables as functions of one unknown phase $\varphi$ and two known parameters $\Delta m_{12}^2$, $r=\Delta m_{12}^2/\Delta m_{23}^2$. In particular, we find ${\sin }^2{\theta }_{13}=(2/3)r/(1+r)$. We also present a mass model for the allowed textures based upon the group $A_4$ using type I+II see-saw mechanism.

9 pages, 3 figures, minor changes as reported in Erratum: Zeros in the magic neutrino mass matrix [Phys. Rev. D 94, 036004 (2016)] (some typographical errors in two equations and a table corrected, results and conclusions unaffected)

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Cited by in corpus (19)

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• Implications of texture zeros for a variant of tribimaximal Mixing
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• Magic square and Dirac flavor neutrino mass matrix
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• The special Two zeros texture based on $A_4$ symmetry and perturbation method
• Conditions of naturalness and fine-tunings for type-I seesaw mechanism with four-zero texture
• A general formula by $LD{L}^T$ decomposition for the type-I seesaw mechanism