An extension of tribimaximal lepton mixing

Abstract

Harrison, Perkins and Scott have proposed simple charged lepton and neutrino mass matrices that lead to the tribimaximal mixing $U_{\mathrm{TBM}}$. We consider in this work an extension of the mass matrices so that the leptonic mixing matrix becomes $U_{\mathrm{PMNS}}=V_L^{\ell †}{U}_{\mathrm{TBM}}W$, where $V_L^{\ell }$ is a unitary matrix needed to diagonalize the charged lepton mass matrix and $W$ measures the deviation of the neutrino mixing matrix from the bimaximal form. Hence, corrections to $U_{\mathrm{TBM}}$ arise from both charged lepton and neutrino sectors. Following our previous work to assume a Qin-Ma-like parametrization $V_{\mathrm{QM}}$ for the charged lepton mixing matrix $V_L^{\ell }$ in which the {\it CP}-odd phase is approximately maximal, we study the phenomenological implications in two different scenarios: $V_L^{\ell }=V_{\mathrm{QM}}^{†}$ and $V_L^{\ell }=V_{\mathrm{QM}}$. We find that the latter is more preferable, though both scenarios are consistent with the data within $3\sigma$ ranges. The predicted reactor neutrino mixing angle ${\theta }_{13}$ in both scenarios is consistent with the recent T2K and MINOS data. The leptonic {\it CP} violation characterized by the Jarlskog invariant $J_{\mathrm{CP}}$ is generally of order $10^{-2}$.

20 pages and 8 figures, Accepted in Phys.Review D

References in corpus (15)

• Indication of Electron Neutrino Appearance from an Accelerator-produced Off-axis Muon Neutrino Beam
• Improved search for muon-neutrino to electron-neutrino oscillations in MINOS
• Evidence of theta(13)>0 from global neutrino data analysis
• Discrete Flavour Symmetries in Light of T2K
• Breaking Tri-bimaximal Mixing and Large ${\theta }_{13}$
• Minimal Modification to Tri-bimaximal Mixing
• Nonzero theta(13) for neutrino mixing in the context of A(4) symmetry
• Model for T2K indication with maximal atmospheric angle and tri-maximal solar angle
• Quark-lepton complementarity and tribimaximal neutrino mixing from discrete symmetry
• Getting at large theta_13 with almost maximal theta_23 from tri-bimaximal mixing
• Neutrino Mixings in SO(10) with Type II Seesaw and theta_{13}
• Parametrizing the Lepton Mixing Matrix in terms of Charged Lepton Corrections
• A new relation between quark and lepton mixing matrices
• Parametrization of fermion mixing matrices in Kobayashi-Maskawa form
• Remarks on the Qin-Ma Parametrization of Quark Mixing Matrix

Cited by in corpus (38)

• The Physics of the B Factories
• Residual Symmetries for Neutrino Mixing with a Large theta_13 and Nearly Maximal delta_D
• θ_{13} and Proton Decay in a Minimal SO(10) x S_4 model of Flavor
• The reactor mixing angle and CP violation with two texture zeros in the light of T2K
• Tri-Bimaximal Neutrino Mixing and Discrete Flavour Symmetries
• Integrability of the AdS_5 x S^5 superstring and its deformations
• θ^PMNS_13 = θ_C / \sqrt2 from GUTs
• Finite Symmetry of Leptonic Mass Matrices
• TFH Mixing Patterns, Large ${\theta }_{13}$ and $\Delta (96)$ Flavor Symmetry
• Nonzero ${\theta }_{13}$ and Leptogenesis in a Type-I See-saw Model with $A_4$ Symmetry
• Near Maximal Atmospheric Mixing in Neutrino Mass Matrices with Two Vanishing Minors
• Simple two Parameter Description of Lepton Mixing
• Non-zero θ_{13} linking to Dark Matter from Non-Abelian Discrete Flavor Model in Radiative Seesaw
• Broken S3 Symmetry in the Neutrino Mass Matrix and Non-Zero theta_{13}
• Flavored Peccei-Quinn symmetry
• Discrete family symmetry, Higgs mediators and theta_{13}
• Parametrizing the Lepton Mixing Matrix in terms of Charged Lepton Corrections
• The charged lepton mass matrix and non-zero ${\theta }_{13}$ with TeV scale New Physics
• SU(3) Gauge Family Symmetry and Prediction for the Lepton-Flavor Mixing and Neutrino Masses with Maximal Spontaneous CP Violation
• Tri-Permuting Mixing Matrix and predictions for theta_13
• Bilarge Neutrino Mixing and Abelian Flavor Symmetry
• Simple renormalizable flavor symmetry for neutrino oscillations
• Correlating lepton mixing angles and mixing matrix with Wolfenstein parameters
• Modifications to the neutrino mixing from the mu-tau reflection symmetry
• Common origin of ${\theta }_{13}$ and dark matter within the flavor symmetric scoto-seesaw framework
• Charged Lepton Corrections to Scaling Neutrino Mixing
• Deviation from Tri-Bimaximal Mixing and Large Reactor Mixing Angle
• Neutrino Masses and Mixing in Models with Large Extra Dimensions and Localized Fermions
• Trimaximal-Cabibbo neutrino mixing: A parametrization in terms of deviations from tri-bimaximal mixing
• Slepton Non-Universality in the Flavor-Effective MSSM
• The flavor symmetry in the standard model and the triality symmetry
• Recent Neutrino Data and Type III Seesaw with Discrete Symmetry
• Leptons and Quarks from a Discrete Flavor Symmetry
• Nonzero ${\theta }_{13}$ and Neutrino Masses from Modified Neutrino Mixing Matrix
• Modulated bimaximal neutrino mixing
• A dynamical CP source for CKM, PMNS and Leptogenesis
• $TeV$-Scale Resonant Leptogenesis $A_4$ with a scaling texture
• $TeV$-Scale Resonant Leptogenesis with New Scaling Ansatz on Neutrino Dirac Mass Matrix from $A_4$ Flavor Symmetry