On Deviations from Bimaximal Neutrino Mixing

Abstract

The PMNS neutrino mixing matrix U_{PMNS} is in general a product of two unitary matrices U_{lep} and U_ν arising from the diagonalization of the charged lepton and neutrino mass matrices, U_{PMNS} = U^{\dagger}_{lep} U_ν. Assuming that U_ν is a bimaximal mixing matrix, we investigate the possible forms of U_{lep}. We identify three possible generic structures of U_{lep}, which are compatible with the existing data on neutrino mixing. One corresponds to a hierarchical ``CKM-like'' matrix. In this case relatively large values of the solar neutrino mixing angle θ_{sol}, and of |U_{e3}|^2, are typically predicted, \tan^2θ_{sol} \gtap 0.42, |U_{e3}|^2 \gtap 0.02, while the atmospheric neutrino mixing angle θ_{atm} can deviate noticeably from π/4, \sin^2 2θ_{atm} \gtap 0.95. The second corresponds to one of the mixing angles in U_{lep} being equal to π/2, and predicts practically maximal atmospheric neutrino mixing \sin^2 2θ_{atm} \simeq 1. Large atmospheric neutrino mixing, \sin^2 2θ_{atm} \gtap 0.95, is naturally predicted by the third possible generic structure of U_{lep}, which corresponds to all three mixing angles in U_{lep} being large. We focus especially on the case of CP-nonconservation, analyzing it in detail. We show how the CP-violating phases, arising from the diagonalization of the neutrino and charged lepton mass matrices, contribute to the measured neutrino mixing observables.

26 pages, 6 figures. Typos corrected, references added, to appear in NPB

Cited by in corpus (137)

• Neutrino Mass and Mixing with Discrete Symmetry
• Theory of Neutrinos: A White Paper
• A White Paper on keV Sterile Neutrino Dark Matter
• Physics at a future Neutrino Factory and super-beam facility
• Neutrino Mixing and Quark-Lepton Complementarity
• Possible Alternatives to Tri-bimaximal Mixing
• Revisiting Bimaximal Neutrino Mixing in a Model with S4 Discrete Symmetry
• Charged Lepton Corrections to Neutrino Mixing Angles and CP Phases Revisited
• A review of mu-tau flavor symmetry in neutrino physics
• The Absolute Neutrino Mass Scale, Neutrino Mass Spectrum, Majorana CP-Violation and Neutrinoless Double-Beta Decay
• Broken mu-tau Symmetry and Leptonic CP Violation
• Discrete Flavour Symmetries, Neutrino Mixing and Leptonic CP Violation
• A4 See-Saw Models and Form Dominance
• Parametrizing the lepton mixing matrix in terms of deviations from tri-bimaximal mixing
• Deviations from Tribimaximal Neutrino Mixing
• A Flavor Symmetry for quasi-degenerate Neutrinos: L_mu-L_tau
• Non-vanishing $U_{e3}$ and $\cos 2{\theta }_{23}$ from a broken $Z_2$ symmetry
• Theta-13 as a Probe of Mu-Tau symmetry for Leptons
• Sizeable θ_13 from the Charged Lepton Sector in SU(5), (Tri-)Bimaximal Neutrino Mixing and Dirac CP Violation
• keV Neutrino Model Building
• Cabibbo Haze in Lepton Mixing
• A Maximal Atmospheric Mixing from a Maximal CP Violating Phase
• Quark-Lepton Complementarity in Unified Theories
• Possible Gauge Theoretic Origin for Quark-Lepton Complementarity
• On the origin of neutrino flavour symmetry
• Tri-bimaximal-Cabibbo Mixing
• The Interplay Between GUT and Flavour Symmetries in a Pati-Salam x S4 Model
• Pieces of the Flavour Puzzle
• Determining the Dirac CP Violation Phase in the Neutrino Mixing Matrix from Sum Rules
• Predicting the Values of the Leptonic CP Violation Phases
• $A_4$ Family Symmetry from SU(5) SUSY GUTs in 6d
• Soft L_e-L_mu-L_tau flavour symmetry breaking and sterile neutrino keV Dark Matter
• Flavor Symmetry L_e - L_mu - L_tau, Atmospheric Neutrino Mixing and CP Violation in the Lepton Sector
• Nontrivial Correlation between the CKM and MNS Matrices
• U_{PMNS} = U_ell^dagger U_nu
• Neutrino Mixing Sum Rules and Oscillation Experiments
• Quark lepton complementarity and renormalization group effects
• Nonzero |U_e3| from Charged Lepton Corrections and the Atmospheric Neutrino Mixing Angle
• An SO(10)XS4 Model of Quark-Lepton Complementarity
• Generalised Geometrical CP Violation in a $T^{\prime }$ Lepton Flavour Model
• Deviations from Tri-bimaximal Mixing: Charged Lepton Corrections and Renormalization Group Running
• Embedding the Zee-Wolfenstein neutrino mass matrix in an SO(10) x A4 GUT scenario
• QLC relation and neutrino mass hierarchy
• Parametrization of Neutrino Mixing Matrix in Tri-bimaximal Mixing Pattern
• Deriving Models for keV sterile Neutrino Dark Matter with the Froggatt-Nielsen mechanism
• A SUSY SU(5)xT' Unified Model of Flavour with large θ_{13}
• Leptonic Dirac CP Violation Predictions from Residual Discrete Symmetries
• Tri-bimaximal Neutrino Mixing and ${\theta }_{13}$
• Importance of Threshold Corrections in Quark-Lepton Complementarity
• The Seesaw Mechanism in Quark-Lepton Complementarity
• Large U_{e3} and Tri-bimaximal Mixing
• Neutrino Masses in Supersymmetric SU(3)_C x SU(2)_L x U(1)_Y x U(1)' Models
• A_4xSU(5) SUSY GUT of Flavour in 8d
• Third Family Corrections to Quark and Lepton Mixing in SUSY Models with non-Abelian Family Symmetry
• Predictions for the Leptonic Dirac CP Violation Phase: a Systematic Phenomenological Analysis
• Charged lepton contributions to the solar neutrino mixing and theta_13
• Neutrinoless Double Beta Decay and Future Neutrino Oscillation Precision Experiments
• Low and High Energy Phenomenology of Quark-Lepton Complementarity Scenarios
• Quark-lepton complementarity with quasidegenerate Majorana neutrinos
• Type II See-Saw Mechanism, Deviations from Bimaximal Neutrino Mixing and Leptogenesis
• A prediction for U(e3) from patterns in the charged lepton spectra
• Viewing Lepton Mixing through the Cabibbo Haze
• Is there maximal mixing in the lepton sector?
• Inverted Mass Hierarchy from Scaling in the Neutrino Mass Matrix: Low and High Energy Phenomenology
• Lepton Flavor Violation as a Probe of Quark-Lepton Unification
• Radiatively broken symmetries of nonhierarchical neutrinos
• Third Family Corrections to Tri-bimaximal Lepton Mixing and a New Sum Rule
• Determination of theta_{23} in Long-Baseline Neutrino Oscillation Experiments with Three-Flavor Mixing Effects
• Universal Mass Texture, CP violation and Quark-Lepton Complementarity
• Quark-lepton complementarity, neutrino and standard model data predict $({\theta }_{13}^{PMNS}=9_{-2}^{+1}{)}^{\circ }$
• Bimaximal fermion mixing from the quark and leptonic mixing matrices
• Systematic Parameter Space Search of Extended Quark-Lepton Complementarity
• Predictions for the Majorana CP Violation Phases in the Neutrino Mixing Matrix and Neutrinoless Double Beta Decay
• Group space scan of flavor symmetries for nearly tribimaximal lepton mixing
• A dynamical approach to link low energy phases with leptogenesis
• Parametrizing the Lepton Mixing Matrix in terms of Charged Lepton Corrections
• Revisiting Minimal Lepton Flavour Violation in the Light of Leptonic CP Violation
• Discrete Symmetries and Neutrino Mass Perturbations for θ_{13}
• The charged lepton mass matrix and non-zero ${\theta }_{13}$ with TeV scale New Physics
• Models of Neutrino Masses and Mixings
• Quantum numbers of heavy neutrinos, tri-bi-maximal mixing through double seesaw with permutation symmetry, and comment on ${\theta }_{\mathrm{sol}}+{\theta }_c\simeq \frac{\pi }{4}$
• Model-Independent Analysis of Tri-bimaximal Mixing -- a Softly-Broken Hidden or an Accidental Symmetry?
• Renormalisation Group Corrections to Neutrino Mass Sum Rules
• Large theta_13 from a model with broken L_e-L_mu-L_tau symmetry
• Flavor Symmetry L_mu - L_tau and quasi-degenerate Neutrinos
• Deviation from tri-bimaximal mixings in two types of inverted hierarchical neutrino mass models
• Vacuum misalignment corrections to tri-bimaximal mixing and form dominance
• Calculable lepton masses, seesaw relations and four neutrino mixings in a 3-3-1 model with extra U(1) symmetry
• Deviation from Bimaximality due to Planck scale effects
• Relations between quark and lepton mixing angles and matrices
• Neutrino Masses with Inverse Hierarchy from Broken L_e-L_μ-L_τ: a Reappraisal
• Neutrino mixing and CP violation from Dirac-Majorana bimaximal mixture and quark-lepton unification
• A Survey of Neutrino Flavor Models and the Neutrinoless Double Beta Decay Funnel
• Modifications to the neutrino mixing from the mu-tau reflection symmetry
• Renormalisation Group Corrections to Neutrino Mixing Sum Rules
• String-Inspired Triplet See-Saw from Diagonal Embedding of SU(2)_L in SU(2)_A x SU(2)_B
• Perturbing exactly tri-bimaximal neutrino mixings with charged lepton mass matrices
• Predicting Leptonic CP phase by considering deviations in charged lepton and neutrino sectors
• Neutrino mixing in SO(10) GUTs with non-abelian flavor symmetry in the hidden sector
• Charged Lepton Corrections to Scaling Neutrino Mixing
• Charged lepton correction to tribimaximal lepton mixing and its implications to neutrino phenomenology
• Deviation from Tri-Bimaximal Mixing and Large Reactor Mixing Angle
• Can an unbroken flavour symmetry provide an approximate description of lepton masses and mixing?
• Revisiting Leptogenesis in a SUSY SU(5) x T' Model of Flavour
• Quark-Lepton universality and large leptonic mixing
• Stable fermion mass matrices and the charged lepton contribution to neutrino mixing
• Charged lepton contributions to bipair neutrino mixing
• A Comment on the Measurement of Neutrino Masses in Beta-Decay Experiments
• Predictions from non trivial Quark-Lepton complementarity
• Reducing θ_13 to 9 degrees
• Entangled maximal mixings in U_PMNS=U_l^dagger U_nu, and a connection to complex mass textures
• Neutrino Mass Squared Differences in the Exact Solution of a 3-3-1 Gauge Model without Exotic Electric Charges
• Large Lepton Mixings from Continuous Symmetries
• Combined flavor symmetry violation and lepton number violation in neutrino physics
• Deviations from tri-bimaximal mixing
• The (Z_2)^3 symmetry of the non-tri-bimaximal pattern for the neutrino mass matrix
• Neutrino Mass and Flavour Models
• Phenomenology of Discrete Flavour Symmetries
• Lowering solar mixing angle in inverted hierarchy without charged lepton corrections
• Form Invariance and Symmetry in the Neutrino Mass Matrix
• Systematic Study Of Leptonic Mixing In A Class Of SU_H(2) Models
• Lepton Flavor Violation in Intersecting D-brane Models
• Smallness of Leptonic ${\theta }_{13}$ and Discrete Symmetry
• Quark-Lepton Complementarity Predictions for ${\theta }_{23}^{pmns}$ and CP Violation
• (Z_2)^3 Symmetry of the Tripartite Model
• CP violation in bipair neutrino mixing
• Quasi-degenerate Neutrino mass models and their significance: A model independent investigation
• A Possible Hermitian Neutrino Mixing Ansatz
• CP violating phase from charged-lepton mixing
• Asymmetric tri-bi-maximal mixing and residual symmetries
• Inverted neutrino mass hierarchies from U(1) symmetries
• Quark-lepton complementarity model based predictions for ${\theta }_{23}^{PMNS}$ with neutrino mass hierarchy
• The U(1) symmetry of the non-tribimaximal pattern in the degenerate mass spectrum case of the neutrino mass matrix
• Deviation from Tri-Bimaximal Neutrino mixing from the Charged Lepton Sector
• Status and Perspectives of Neutrino Physics
• Theory and phenomenology of Dirac neutrinos
• On the ambiguities in the tri-bimaximal mixing matrix and corresponding charged lepton corrections