Neutrino mu-tau reflection symmetry and its breaking in the minimal seesaw

Abstract

In this paper, we attempt to implement the neutrino $\mu$-$\tau$ reflection symmetry (which predicts ${\theta }_{23}^{}=\pi /4$ and $\delta =\pm \pi /2$ as well as trivial Majorana phases) in the minimal seesaw (which enables us to fix the neutrino masses). For some direct (the preliminary experimental hints towards ${\theta }_{23}^{}\ne \pi /4$ and $\delta \ne -\pi /2$) and indirect (inclusion of the renormalization group equation effect and implementation of the leptogenesis mechanism) reasons, we particularly study the breakings of this symmetry and their phenomenological consequences.

arXiv comment20 pages, 7 figures, accepted for publication in JHEP

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• Flavor structures of charged fermions and massive neutrinos
• The minimal seesaw and leptogenesis models
• $R_{D^{(\ast )}}$, $R_{K^{(\ast )}}$ and neutrino mass in the 2HDM-III with right-handed neutrinos
• The $\mu$-$\tau$ reflection symmetry of Majorana neutrinos
• Quark and Lepton Mixing Patterns from a Common Discrete Flavor Symmetry with Generalized CP
• The $\mu -\tau$ reflection symmetry of Dirac neutrinos and its breaking effect via quantum corrections
• Consequences of $\mu -\tau$ Reflection Symmetry at DUNE
• Flavored Non-Minimal Left-Right Symmetric Model Fermion Masses and Mixings
• Exploring Partial $\mu$-$\tau$ Reflection Symmetry at DUNE and Hyper-Kamiokande
• Consequences of minimal seesaw with complex $\mu \tau$ antisymmetry of neutrinos
• Correlation of normal neutrino mass ordering with upper octant of ${\theta }_{23}^{}$ and third quadrant of $\delta$ via RGE-induced $\mu$-$\tau$ symmetry breaking
• Impact of RGE-induced $\mu -\tau$ Reflection Symmetry Breaking on the Effective Majorana Neutrino Mass in $0\nu \beta \beta$ Decay
• $\mu -\tau$ Reflection Symmetry and Its Explicit Breaking for Leptogenesis in a Minimal Seesaw Model
• Renormalization group evolution induced leptogenesis in the minimal seesaw model with the trimaximal mixing and mu-tau reflection symmetry
• Leptonic unitarity triangles: RGE running effects and $\mu$-$\tau$ reflection symmetry breaking
• Consequences of $\mu$-$\tau$ reflection symmetry for $3+1$ neutrino mixing
• Further study on the textures of neutrino mass matrix for maximal atmospherical mixing angle and Dirac CP phase
• On the textures of neutrino mass matrix for maximal atmospheric mixing angle and Dirac CP phase
• The translational $\mu$-$\tau$ reflection symmetry of Majorana neutrinos
• RGE-induced $\mu$-$\tau$ symmetry breaking: an analysis of the latest T2K results