Further study on the textures of neutrino mass matrix for maximal atmospherical mixing angle and Dirac CP phase

2018/08/31 by Zhi-Cheng Liu, C. X. Yue, Chong-Xing Yue +1
Chemistry · Mathematics · Physics and Astronomy · #Astrophysics and Cosmic Phenomena #CP violation #Chemistry #Dirac (video compression format) #MAJORANA #Mass matrix #Mathematics #Matrix (chemical analysis) #Mixing (physics) #Neutrino #Neutrino Physics Research #Neutrino oscillation #Particle physics #Particle physics theoretical and experimental studies #Physics #Pontecorvo–Maki–Nakagawa–Sakata matrix #Quantum mechanics #Realization (probability) #Statistics #Sterile neutrino #hep-ph

paper · pdf · doi:10.1103/physrevd.99.075034

published as Phys. Rev. D 99, 075034 (2019) · 25 pages, no figures, major revisions, references added, version accepted for publication in PRD

arxiv created 2019/04/18 · openalex created_date 2019/04/25 · openalex publication_date 2019/04/29 · arxiv updated 2019/05/08 · openalex updated_date 2026/08/05

Abstract

In this paper, we derive in a novel approach the possible textures of neutrino mass matrix that can lead to maximal atmospherical mixing angle (\ensuremathθ₂₃=\ensuremathπ/4) and Dirac CP phase (\ensuremathδ=\ensuremath-\ensuremathπ/2) in two phenomenologically appealing scenarios: (1) one neutrino mass matrix element vanishing (2) one neutrino mass vanishing. For the obtained textures, some neutrino mass sum rules that relate the neutrino masses and mixing parameters emerge. With the help of these sum rules, the unknown absolute neutrino mass scale and Majorana CP phases can be determined. Some discussions about the possible textures of neutrino mass matrix that can lead to \ensuremathθ₂₃=\ensuremathπ/4, \ensuremathδ=\ensuremath-\ensuremathπ/2 and maximal Majorana CP phases (\ensuremathρ, \ensuremathσ=\ensuremathπ/4 or 3\ensuremathπ/4) as well as the model realization and breakings of the obtained textures are also given.

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