Predicting CP violation in Deviation from Tri-bimaximal mixing of Neutrinos

Abstract

We study the CP violation in the deviation from the tri-bimaximal mixing (TBM) of neutrinos. We examine non-trivial relations among the mixing angles and the CP violating Dirac phase in the typical four cases of the deviation from the TBM. The first two cases are derived by the additional rotation of the 2-3 or 1-3 generations of neutrinos in the TBM basis. The other two cases are given by the additional rotation of the 1-3 or 1-2 generations of charged leptons with the TBM neutrinos. These four cases predict different relations among three mixing angles and the CP violating Dirac phase. The rotation of the 2-3 generations of neutrinos in the TBM basis predicts ${\sin }^2{\theta }_{12}<1/3$, and the CP violating Dirac phase to be $\pm (0.09\pi \sim 0.76\pi )$ for NH ($\pm (0.15\pi \sim 0.73\pi )\text{for IH}$) depending on ${\sin }^2{\theta }_{23}$. The rotation of the 1-3 generations of neutrinos in the TBM basis gives ${\sin }^2{\theta }_{12}>1/3$. The CP violating Dirac phase is not constrained by the input of the present experimental data. For the case of the 1-3 and 1-2 rotations of charged leptons in the TBM basis, the CP violating Dirac phase is predicted in $\pm (0.35\pi \sim 0.60\pi )$ depending on ${\sin }^2{\theta }_{12}$ for both NH and IH cases. We also discuss the specific case that ${\theta }_{13}$ is related with the Cabibbo angle $\lambda$ such as $\sin {\theta }_{13}=\lambda /\sqrt{2}$, in which the maximal CP violation is preferred. The CP violating Dirac phase can distinguish the lepton flavor mixing patterns at T2K and NO$\nu$A experiments in the future.

18 pages, 22 figures, figures are changed, discussions are added

References in corpus (14)

• Observation of electron-antineutrino disappearance at Daya Bay
• Global status of neutrino oscillation parameters after Neutrino-2012
• Neutrino tri-bi-maximal mixing from a non-Abelian discrete family symmetry
• Possible Alternatives to Tri-bimaximal Mixing
• The Horizontal Symmetry for Neutrino Mixing
• Parametrizing the lepton mixing matrix in terms of deviations from tri-bimaximal mixing
• A model for trimaximal lepton mixing
• Deviation from tri-bimaximal neutrino mixing in A4 flavor symmetry
• Tri-bimaximal Neutrino Mixing and Flavor-dependent Resonant Leptogenesis
• Nonzero U_{e3}, CP violation and leptogenesis in a see-saw type softly broken A_4 symmetric model
• Neutrino masses and mixing from S4 flavor twisting
• Tri-bimaximal lepton mixing from symmetry only
• Constraining {\it CP} violation in a softly broken $A_4$ symmetric Model
• Deviation from tri-bimaximal mixing and flavor symmetry breaking in a seesaw type A4 model

Cited by in corpus (13)

• Determining the Dirac CP Violation Phase in the Neutrino Mixing Matrix from Sum Rules
• Predicting the Values of the Leptonic CP Violation Phases
• Lepton Mixing in $A_5$ Family Symmetry and Generalized CP
• Towards the minimal seesaw model via CP violation of neutrinos
• Prediction of Leptonic CP Phase in $A_4$ symmetric model
• Neutrino CP violation and sign of baryon asymmetry in the minimal seesaw model
• Common origin of ${\theta }_{13}$ and dark matter within the flavor symmetric scoto-seesaw framework
• Quasidegeneracy of Majorana Neutrinos and the Origin of Large Leptonic Mixing
• New mixing schemes for (3+1) neutrinos
• Confronting the prediction of leptonic Dirac CP-violating phase with experiments
• Deviations to Tri-Bi-Maximal mixing in the limit of $\mu -\tau$ symmetry
• Phenomenology of Trimaximal mixing with one texture equality
• Linking Leptonic CP violation to Quark Unitarity Triangle