On the textures of neutrino mass matrix for maximal atmospheric mixing angle and Dirac CP phase

Abstract

In this paper, we derive in a novel approach the possible textures of neutrino mass matrix that can lead us to maximal atmospheric mixing angle and Dirac CP phase which are consistent with the current neutrino oscillation data. A total of eleven textures are thus found. Interestingly, the specific texture given by the $\mu$-$\tau$ reflection symmetry can be reproduced from one of the obtained textures. For these textures, some neutrino mass sum rules which relate the neutrino masses and Majorana CP phases will emerge.

arXiv comment21 pages, 10 figures, version to appear in JHEP, a new paragraph discussing the physical meaning of the textures obtained is added at the end of section 3

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Cited by in corpus (5)

• Flavor structures of charged fermions and massive neutrinos
• The $\mu$-$\tau$ reflection symmetry of Majorana neutrinos
• Flavoured leptogenesis and ${\mathrm{CP}}^{\mu \tau }$ symmetry
• Generalised Proper Time as a Unifying Basis for Models with Two Right-Handed Neutrinos
• Further study on the textures of neutrino mass matrix for maximal atmospherical mixing angle and Dirac CP phase