Parallel lepton mass matrices with texture and cofactor zeros

2014/02/28 by Weijian Wang
Chemistry · Mathematics · Physics and Astronomy · #Artificial intelligence #Astrophysics and Cosmic Phenomena #Chemistry #Combinatorics #Computer science #Geometry #Homogeneous space #Image (mathematics) #Lepton #Mass matrix #Mathematics #Matrix (chemical analysis) #Neutrino #Neutrino Physics Research #Particle physics #Particle physics theoretical and experimental studies #Physics #Pure mathematics #Quantum mechanics #Realization (probability) #Statistics #Symmetry (geometry) #Texture (cosmology) #hep-ph

paper · pdf · doi:10.1103/physrevd.90.033014

published as Phys. Rev. D 90, 033014(2014) · 23 pages, 6 figures. arXiv admin note: text overlap with arXiv:1401.3949

openalex publication_date 2014/08/25 · arxiv created 2014/08/26 · arxiv updated 2014/08/27 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

In this paper we investigate the parallel texture structures containing texture zeros in the charged lepton mass matrix M_l and cofactor zeros in the neutrino mass matrix M_\ensuremathν. These textures are interesting since they are related to the Z_n flavor symmetries. Using the weak basis permutation transformation, the 15 parallel textures are grouped as 4 classes (class I, II, III, and IV), with the matrices in each class sharing the same physical implications. Under the current experimental data, the classes I and III with inverted mass hierarchy and class II with normal mass hierarchy are phenomenologically acceptable. The correlations between some important physical variables are presented, which are essential for the model selection and can be tested by future experiments. The model realization is illustrated by means of Z₄\ifmmode×\else\texttimes\fiZ₂ flavor symmetry.

Citations

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