A review of mu-tau flavor symmetry in neutrino physics

Abstract

Behind the observed pattern of lepton flavor mixing is a partial or approximate mu-tau flavor symmetry --- a milestone on our road to the true origin of neutrino masses and flavor structures. In this review article we first describe the features of mu-tau permutation and reflection symmetries, and then explore their various consequences on model building and neutrino phenomenology. We pay particular attention to soft mu-tau symmetry breaking, which is crucial for our deeper understanding of the fine effects of flavor mixing and CP violation.

105 pages, 10 figures. The text reorganized, more references added, minor typos fixed. Invited review article being published in Reports on Progress in Physics

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• Quasi degenerate Neutrino Masses with Universal Strength Yukawa Couplings
• Charged lepton correction to tribimaximal lepton mixing and its implications to neutrino phenomenology
• The Friedberg-Lee Symmetry and Minimal Seesaw Model
• Leptogenesis in a model with Friedberg-Lee symmetry
• Neutrino Mass Textures and Partial $\mu$-$\tau$ Symmetry
• The Kobayashi-Maskawa Parametrization of Lepton Flavor Mixing and Its Application to Neutrino Oscillations in Matter
• A further study of μ-τsymmetry breaking at neutrino telescopes after the Daya Bay and RENO measurements of θ_{13}
• A modified Friedberg-Lee symmetry for the TM1 neutrino mixing
• The role of lepton flavor symmetries in leptogenesis
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• Fixing the Solar Neutrino Parameters with Sterile Neutrinos
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• The hidden symmetries in the PMNS matrix and the light sterile neutrino(s)

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• Reconciling dark matter, $R_{K^{(\ast )}}$ anomalies and $(g-2{)}_{\mu }$ in an $L_{\mu }-L_{\tau }$ scenario
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• Decoherence, matter effect, neutrino hierarchy signature in long baseline experiments
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• Non-Minimal Flavored ${\mathbf{S}}_3\otimes {\mathbf{Z}}_2$ Left-Right Symmetric Model
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• The $\mu$-$\tau$ mixed symmetry and neutrino mass matrix
• Analytical approximations for matter effects on CP violation in the accelerator-based neutrino oscillations with E \lesssim 1 GeV
• New oscillation and scattering constraints on the tau row matrix elements without assuming unitarity
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