Leptonic CP Violation Induced by Approximately mu-tau Symmetric Seesaw Mechanism

Abstract

Assuming a minimal seesaw model with two heavy neutrinos (N), we examine effects of leptonic CP violation induced by approximate mu-tau symmetric interactions. As long as N is subject to the mu-tau symmetry, we can choose CP phases of Dirac mass terms without loss of generality in such a way that these phases arise from mu-tau symmetry breaking interactions. In the case that no phase is present in heavy neutrino mass terms, leptonic CP phases are controlled by two phases alpha and beta. The similar consideration is extended to N blind to the mu-tau symmetry. It is argued that N subject (blind) to the mu-tau symmetry necessarily describes the normal (inverted) mass hierarchy. We restrict ourselves to mu-tau symmetric textures giving the tri-bimaximal mixing and calculate flavor neutrino masses to estimate CP-violating Dirac and Majorana phases as well as neutrino mixing angles as functions of alpha and beta. Since alpha and beta are generated by mu-tau symmetry breaking interactions, CP-violating Majorana phase tends to be suppressed and is found to be at most O(0.1) radian. On the other hand, CP-violating Dirac phase tends to show a proportionality to alpha or to beta.

arXiv comment28 pages including 14 figures, several typos corrected, version to appear in Phys. Rev. D

References in corpus (48)

• Tri-Bimaximal Mixing and the Neutrino Oscillation Data
• Symmetries and Generalisations of Tri-Bimaximal Neutrino Mixing
• Nearly Tri-Bimaximal Neutrino Mixing and CP Violation
• Cosmological Sign of Neutrino CP Violation
• Mu-Tau Reflection Symmetry in Lepton Mixing and Neutrino Oscillations
• Running Neutrino Masses, Mixings and CP Phases: Analytical Results and Phenomenological Consequences
• Running Neutrino Mass Parameters in See-Saw Scenarios
• A 2-3 Symmetry in Neutrino Oscillations
• Bimaximal Neutrino Mixing and Neutrino Mass Matrix
• $S_3$ Symmetry and Tri-bimaximal Mixing
• CP violation in neutrino oscillation and leptogenesis
• The Absolute Neutrino Mass Scale, Neutrino Mass Spectrum, Majorana CP-Violation and Neutrinoless Double-Beta Decay
• Softly broken lepton numbers and maximal neutrino mixing
• Predictions of the most minimal see-saw model
• Tri-bimaximal Neutrino Mixing and Flavor-dependent Resonant Leptogenesis
• Neutrino Masses, Lepton Flavor Mixing and Leptogenesis in the Minimal Seesaw Model
• Theta-13 as a Probe of Mu-Tau symmetry for Leptons
• S3 x Z2 model for neutrino mass matrices
• Radiatively induced leptogenesis in a minimal seesaw model
• Neutrino Mass, Muon Anomalous Magnetic Moment, and Lepton Flavor Nonconservation
• Leptogenesis, $\mu -\tau$ Symmetry and ${\theta }_{13}$
• Running Neutrino Masses, Leptonic Mixing Angles and CP-Violating Phases: From $M_{\mathrm{Z}}$ to ${\Lambda }_{\mathrm{GUT}}$
• μ-τSymmetry and Maximal CP Violation
• Structure of Cosmological CP Violation via Neutrino Seesaw
• Leptogenesis and $\mu -\tau$ symmetry
• Generalized Tri-bimaximal Neutrino Mixing and Its Sensitivity to Radiative Corrections
• Predicting Neutrinoless Double Beta Decay
• Phased Breaking of mu-tau symmetry and Leptogenesis
• Grand unification of $\mu -\tau$ Symmetry
• A Flavor Symmetry Model for Bilarge Leptonic Mixing and the Lepton Masses
• Radiative Corrections to Neutrino Mixing and CP Violation in the Minimal Seesaw Model with Leptogenesis
• Calculable CP-violating Phases in the Minimal Seesaw Model of Leptogenesis and Neutrino Mixing
• Fermion Mass Hierarchies and Flavour Mixing from a Minimal Discrete Symmetry
• Large Solar Neutrino Mixing and Radiative Neutrino Mechanism
• Seesaw Right Handed Neutrino as the Sterile Neutrino for LSND
• Connecting Leptogenesis to CP Violation in Neutrino Mixings in a Tri-bimaximal Mixing model
• Seesaw model with softly broken L_e - L_μ- L_τ
• Possible Deviation from the Tri-bimaximal Neutrino Mixing in a Seesaw Model
• Leptogenesis in seesaw models with a twofold-degenerate neutrino Dirac mass matrix
• Minimal seesaw model with tri/bi-maximal mixing and leptogenesis
• Almost Maximal Lepton Mixing with Large T Violation in Neutrino Oscillations and Neutrinoless Double Beta Decay
• Radiative Generation of Leptonic CP Violation
• What Does mu-tau Symmetry Imply about Neutrino Mixings?
• Threshold Effects on Quasi-degenerate Neutrinos with High-scale Mixing Unification
• Two Categories of Approximately mu-tau Symmetric Neutrino Mass Textures
• $\mu -\tau$ Symmetry and Radiatively Generated Leptogenesis
• Correlation between Leptonic CP Violation and mu-tau Symmetry Breaking
• Bi-maximal Neutrino Mixing Pattern Reexamined

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• Fermion Mass Hierarchies and Flavour Mixing from a Minimal Discrete Symmetry
• A Generic Diagonalization of the 3X3 Neutrino Mass Matrix and Its Implications on the mu-tau Flavor Symmetry and Maximal CP Violation
• Tetra-maximal Neutrino Mixing and Its Implications on Neutrino Oscillations and Collider Signatures
• Softly broken $\mu \leftrightarrow \tau$ symmetry in the minimal see-saw model
• Relating the neutrino mixing angles to a lepton mass hierarchy
• Maximal CP Violation in Flavor Neutrino Masses
• Maximal CP Violation in Minimal Seesaw Model
• The Kobayashi-Maskawa Parametrization of Lepton Flavor Mixing and Its Application to Neutrino Oscillations in Matter
• Bi-pair Neutrino Mixing
• Flavor Neutrino Masses giving sinθ_{13}=0
• Leptonic CP Violation Phases, Quark-Lepton Similarity and Seesaw Mechanism
• CP violation in bipair neutrino mixing
• Lepton Flavor Violation in Complex SUSY Seesaw Models with Nearly Tribimaximal Mixing
• Phases of Flavor Neutrino Masses and CP Violation