Origin of Constrained Maximal CP Violation in Flavor Symmetry

Abstract

Current data from neutrino oscillation experiments are in good agreement with $\delta =-\frac{\pi }{2}$ and ${\theta }_{23}^{}=\frac{\pi }{4}$. We define the notion of "constrained maximal CP violation" (CMCPV) for predicting these features and study their origin in flavor symmetry. We derive the parametrization-independent solution of CMCPV and give a set of equivalent definitions for it. We further present a theorem on how the CMCPV can be realized. This theorem takes advantage of residual symmetries in the neutrino and charged lepton mass matrices, and states that, up to a few minor exceptions, $(|\delta |,{\theta }_{23})=(\frac{\pi }{2},\frac{\pi }{4})$ is generated when those symmetries are real. The often considered $\mu$-$\tau$ reflection symmetry, as well as specific discrete subgroups of O(3), are special cases of our theorem.

Phys.Lett.B Final Version, 13pp. All conclusions unchanged, only minor improvement to stress the parametrization-independence of our CMCPV

References in corpus (22)

• Big-Bang Nucleosynthesis
• Leptogenesis
• Neutrino oscillations refitted
• Neutrino tri-bi-maximal mixing from a non-Abelian discrete family symmetry
• The Unique Horizontal Symmetry of Leptons
• The Horizontal Symmetry for Neutrino Mixing
• Near Tribimaximal Neutrino Mixing with Delta(27) Symmetry
• Discrete symmetries and model-independent patterns of lepton mixing
• Scotogenic Inverse Seesaw Model of Neutrino Mass
• Neutrino Mass Sum-rules in Flavor Symmetry Models
• Generalized $\mu$-$\tau$ symmetry and discrete subgroups of O(3)
• Octahedral Symmetry with Geometrical Breaking: New Prediction for Neutrino Mixing Angle theta_{13} and CP Violation
• A SUSY SU(5)xT' Unified Model of Flavour with large θ_{13}
• Implications of $\mu -\tau$ Flavored CP Symmetry of Leptons
• $T^{{}^{\prime }}$ Predictions of PMNS and CKM Angles
• Group Theory and Dynamics of Neutrino Mixing
• Transformative A_4 Mixing of Neutrinos with CP Violation
• Lepton Mixing in $A_5$ Family Symmetry and Generalized CP
• Neutrino Mixing and CP Phase Correlations
• On the determination of the leptonic CP phase
• Neutrino tri-bi-maximal mixing from Delta(27)
• Origin of Symmetric PMNS and CKM Matrices

Cited by in corpus (43)

• Flavor structures of charged fermions and massive neutrinos
• A review of mu-tau flavor symmetry in neutrino physics
• Generalized $\mu -\tau$ reflection symmetry and leptonic CP violation
• Neutrino Mixing: $A_4$ Variations
• Trimaximal $\mu$-$\tau$ reflection symmetry
• Predictions for Leptonic Mixing Angle Correlations and Non-trivial Dirac CP Violation from $A_5$ with Generalised CP Symmetry
• Measuring the Leptonic CP Phase in Neutrino Oscillations with Non-Unitary Mixing
• Soft $A_4\to Z_3$ Symmetry Breaking and Cobimaximal Neutrino Mixing
• $A_4$ and CP symmetry and a model with maximal CP violation
• Breakings of the neutrino mu-tau reflection symmetry
• Mu-tau symmetry and the Littlest Seesaw
• Cobimaximal Neutrino Mixing from $S_3\times Z_2$
• Mu-tau reflection symmetry with a high scale texture-zero
• Cobimaximal lepton mixing from soft symmetry breaking
• A new and trivial CP symmetry for extended $A_4$ flavor
• Consequences of $\mu -\tau$ Reflection Symmetry at DUNE
• Cobimaximal Neutrino Mixing from $A_4$ and its Possible Deviation
• A study on a minimally broken residual TBM-Klein symmetry with its implications on flavoured leptogenesis and ultra high energy neutrino flux ratios
• Modifications to the neutrino mixing from the mu-tau reflection symmetry
• Neutrino masses and mixing in $A_5$ with flavour antisymmetry
• Maximal CP Violation in Flavor Neutrino Masses
• On ${\mathbf{Q}}_6$ flavor symmetry and the breaking of $\mu \leftrightarrow \tau$ symmetry
• Phase broken $\mu -\tau$ symmetry and the neutrino mass hierarchy
• Maximal CP Violation in Minimal Seesaw Model
• $\mu -\tau$ Reflection Symmetry and Its Explicit Breaking for Leptogenesis in a Minimal Seesaw Model
• A modified Friedberg-Lee symmetry for the TM1 neutrino mixing
• Connecting Leptonic Unitarity Triangle to Neutrino Oscillation with CP Violation in Vacuum and in Matter
• Consequences of $\mu$-$\tau$ reflection symmetry for $3+1$ neutrino mixing
• Almost exact diagonal reflection symmetries and three-zero texture
• On the textures of neutrino mass matrix for maximal atmospheric mixing angle and Dirac CP phase
• Pseudo-Dirac neutrinos from flavour dependent CP symmetry
• Lepton and quark mixing patterns with generalized CP transformations
• Neutrino Parameters from Reactor and Accelerator Neutrino Experiments
• Diagonal reflection symmetries and universal four-zero texture
• Non$-$zero ${\theta }_{13}$ and ${\delta }_{CP}$ phase with $A_4$ Flavor Symmetry and Deviations to Tri$-$Bi$-$Maximal mixing via $Z_2\times Z_2$ invariant perturbations in the Neutrino sector
• Two-Higgs-Doublet Models with a Flavored ${\mathbb{Z}}_2$
• ${\theta }_{23}=\pi /4$ and $\delta =-\pi /2$ In Neutrino Mixing, Which Convention?
• Leptogenesis in the $\mu \tau$ basis
• Modified TM2 for Reproducing All Best-Fit Values of Neutrino Mixing Angles
• Lepton mixing patterns from $PS{L}_2(7)$ with a generalised CP symmetry
• A lepton model with nearly Cobimaximal mixing
• Theory and phenomenology of Dirac neutrinos
• New partial symmetries from group algebras for lepton mixing