Modifications to the neutrino mixing from the mu-tau reflection symmetry

Abstract

The $\mu$-$\tau$ reflection symmetry serves as a unique basis for understanding the observed neutrino mixing as it can lead us to the interesting results ${\theta }_{23}^{}=\pi /4$ and $\delta =-\pi /2$ which stand close to the current experimental results. But a precise measurement for ${\theta }_{23}^{}$ and $\delta$ will probably force us to modify the neutrino mixing $U^{(0)}$ from such a symmetry. Here we perform a study for modifications to $U^{(0)}$ in the forms of $U^{(1)†}{U}^{(0)}$ and $U^{(0)}{U}^{(1)}$ where $U^{(1)}=R_{ij}^{(1)}$ (for $ij=12,23$ and 13) with $R_{ij}^{(1)}$ denoting a real orthogonal rotation on the $ij$ plane.

16 pages, 6 figures, minor revision, references added, to appear in Nuclear Physics B

References in corpus (17)

• Observation of electron-antineutrino disappearance at Daya Bay
• Possible Alternatives to Tri-bimaximal Mixing
• Current unknowns in the three neutrino framework
• Comparing Trimaximal Mixing and Its Variants with Deviations from Tri-bimaximal Mixing
• Minimal Modification To The Tri-bimaximal Neutrino Mixing
• Tri-bimaximal Neutrino Mixing and Flavor-dependent Resonant Leptogenesis
• S_4 Flavored CP Symmetry for Neutrinos
• Mass Independent Textures and Symmetry
• Determining the Dirac CP Violation Phase in the Neutrino Mixing Matrix from Sum Rules
• Predicting the Values of the Leptonic CP Violation Phases
• U_{PMNS} = U_ell^dagger U_nu
• Large U_{e3} and Tri-bimaximal Mixing
• $A_4$ and CP symmetry and a model with maximal CP violation
• Neutrino Mixing and CP Phase Correlations
• Neutrino mass ordering and μ-τreflection symmetry breaking
• Prediction of Leptonic CP Phase in $A_4$ symmetric model
• Prediction of leptonic CP phase from perturbatively modified tribimaximal (or bimaximal) mixing

Cited by in corpus (13)

• Flavor structures of charged fermions and massive neutrinos
• The $\mu$-$\tau$ reflection symmetry of Majorana neutrinos
• 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
• Mu-Tau Reflection Symmetry in the Standard Parametrization and Contributions from Charged Lepton Sector
• Phase broken $\mu -\tau$ symmetry and the neutrino mass hierarchy
• Flavoured leptogenesis and ${\mathrm{CP}}^{\mu \tau }$ symmetry
• 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
• Next-to-tribimaximal mixing against CP violation and baryon asymmetry signs
• RGE-induced $\mu$-$\tau$ symmetry breaking: an analysis of the latest T2K results