Deviation from Tri-Bimaximal Neutrino mixing from the Charged Lepton Sector

Abstract

The tri-bimaximal mixing matrix is most likely the leading order term in the description of leptonic mixing. We derive deviations from tri-bimaximal mixing(TBM) due to corrections from the charged lepton sector. We assume a decoupled 2-3 symmetry, which is a $Z_2$ symmetry, in the charged lepton sector and another $Z_2$ symmetry in the neutrino sector. The TBM is obtained in the flavor symmetric limit. We consider deviations from the TBM form arising from the breaking of the 2-3 symmetry in the charged lepton sector but do not consider deviations from the breaking of the flavor symmetry in the neutrino sector. In particular we find the size of $\sin {\theta }_{13}$ to be related to the deviation $\sin {\theta }_{12}$ from $\sqrt{1/3}$ while the deviation of $\sin {\theta }_{23}$ from its tri-bimaximal value is $\sim \frac{m_{\mu }}{m_{\tau }}$.

14 pages, no figures. Material and references added and reorganized. Conclusions are unchanged

References in corpus (56)

• Tri-Bimaximal Neutrino Mixing, A4 and the Modular Symmetry
• Tri-Bimaximal Neutrino Mixing from Discrete Symmetry in Extra Dimensions
• Mass and Flavor Mixing Schemes of Quarks and Leptons
• Theory of Neutrinos: A White Paper
• A_4 Symmetry and Neutrinos with Very Different Masses
• Neutrino tri-bi-maximal mixing from a non-Abelian discrete family symmetry
• Tri-bimaximal Neutrino Mixing and Quark Masses from a Discrete Flavour Symmetry
• Predicting neutrino parameters from SO(3) family symmetry and quark-lepton unification
• CKM and Tri-bimaximal MNS Matrices in a SU(5) x (d)T Model
• The Unique Horizontal Symmetry of Leptons
• A4 family symmetry and quark-lepton unification
• SU(3) family symmetry and neutrino bi-tri-maximal mixing
• Tri-bimaximal neutrino mixing from discrete subgroups of SU(3) and SO(3) family symmetry
• $S_3$ Symmetry and Tri-bimaximal Mixing
• Charged Lepton Corrections to Neutrino Mixing Angles and CP Phases Revisited
• Tri-Bimaximal Neutrino Mixing and the Family Symmetry Z_7 x Z_3
• On Deviations from Bimaximal Neutrino Mixing
• Broken mu-tau Symmetry and Leptonic CP Violation
• Minimal Modification To The Tri-bimaximal Neutrino Mixing
• Parametrizing the lepton mixing matrix in terms of deviations from tri-bimaximal mixing
• Aspects of the Tetrahedral Neutrino Mass Matrix
• Tetrahedral Family Symmetry and the Neutrino Mixing Matrix
• Nearly Tri-bimaximal Neutrino Mixing and CP Violation from mu-tau Symmetry Breaking
• Hybrid Seesaw Neutrino Masses with A_4 Family Symmetry
• Tri-bimaximal mixing, discrete family symmetries, and a conjecture connecting the quark and lepton mixing matrices
• A_4 symmetry and prediction of U_{e3} in a modified Altarelli-Feruglio model
• Deviations from Tribimaximal Neutrino Mixing
• Near Tribimaximal Neutrino Mixing with Delta(27) Symmetry
• Twisted Flavors and Tri/bi-Maximal Neutrino Mixing
• Quark Masses and Mixing with A4 Family Symmetry
• Cabibbo Haze in Lepton Mixing
• Supersymmetric A_4 X Z_3 and A_4 Realizations of Neutrino Tribimaximal Mixing Without and With Corrections
• Simplified Unitarity Triangles for the Lepton Sector
• A Maximal Atmospheric Mixing from a Maximal CP Violating Phase
• Towards a Complete Theory of Fermion Masses and Mixings with SO(3) Family Symmetry and 5d SO(10) Unification
• TriMinimal Parametrization of the Neutrino Mixing Matrix
• Nontrivial Correlation between the CKM and MNS Matrices
• Generalized Tri-bimaximal Neutrino Mixing and Its Sensitivity to Radiative Corrections
• Neutrino mixing from the double tetrahedral group T^{\prime}
• Parametrization of Neutrino Mixing Matrix in Tri-bimaximal Mixing Pattern
• Neutrino Mass and New Physics
• Corrections to Tri-bimaximal Neutrino Mixing: Renormalization and Planck Scale Effects
• Viewing Lepton Mixing through the Cabibbo Haze
• Connecting Leptogenesis to CP Violation in Neutrino Mixings in a Tri-bimaximal Mixing model
• Minimal supergravity radiative effects on the tri-bimaximal neutrino mixing pattern
• Possible Deviation from the Tri-bimaximal Neutrino Mixing in a Seesaw Model
• Deviations from Tri-bimaximal Neutrino Mixing in Type-II Seesaw and Leptogenesis
• New Lepton Family Symmetry and Neutrino Tribimaximal Mixing
• Non-unitary deviation from the tri-bimaximal lepton mixing and its implications on neutrino oscillations
• $A_4$ Group and Tri-bimaximal Neutrino Mixing -- A Renormalizable Model
• Deviation from tri-bimaximal mixings in two types of inverted hierarchical neutrino mass models
• Lepton Flavour Violation in the Constrained MSSM with Constrained Sequential Dominance
• Neutrino Mass Models
• Solving the Mystery of the Missing Neutrinos
• Z_3 Symmetry and Neutrino Mixing in Type II Seesaw
• Neutrinos with Z_3 symmetry and new charged-lepton interactions

Cited by in corpus (2)

• Suppressed FCNC in New Physics with Shared Flavor Symmetry
• Maximal CP Violation Hypothesis and a Lepton Mixing Matrix