Testing neutrino mass matrices with approximate L_e-L_mu-L_tau symmetry

Abstract

As neutrino experiments are starting to probe the detailed structure of the neutrino mass matrix, we present sumrules relating its matrix elements for a class of models with approximate $L_e-L_{\mu }-L_{\tau }$ symmetry and the observables in neutrino oscillation experiments. We show that regardless of how the above symmetry is broken (whether in the neutrino sector or the charged lepton sector), as long as the breaking terms are small, there is a lower bound on the solar neutrino mixing angle, $si{n}^{2}2{\theta }_{\odot }$, correlated with the solar mass difference square, $\Delta m_{\odot }^2$, or the mixing parameter, $U_{e3}$. We also discuss models where such patterns can arise.

11 pages, 3 figures; references and a note added; figure labelling fixed

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Cited by in corpus (45)

• Theory of Neutrinos: A White Paper
• A review of mu-tau flavor symmetry in neutrino physics
• On Deviations from Bimaximal Neutrino Mixing
• Broken mu-tau Symmetry and Leptonic CP Violation
• Theta-13 as a Probe of Mu-Tau symmetry for Leptons
• Quark-Lepton Complementarity in Unified Theories
• Possible Gauge Theoretic Origin for Quark-Lepton Complementarity
• Nonzero U_{e3}, CP violation and leptogenesis in a see-saw type softly broken A_4 symmetric model
• Flavor Symmetry L_e - L_mu - L_tau, Atmospheric Neutrino Mixing and CP Violation in the Lepton Sector
• CP Violation in Bilarge Lepton Mixing
• Model Predictions for Neutrino Oscillation Parameters
• Scales of Fermion Mass Generation and Electroweak Symmetry Breaking
• Constraints on flavour-dependent long-range forces from atmospheric neutrino observations at Super-Kamiokande
• Neutrino mass matrix: inverted hierarchy and CP violation
• Grand unification of $\mu -\tau$ Symmetry
• Softly broken lepton number L_e - L_μ- L_τwith non-maximal solar neutrino mixing
• 'Mu-Tau' symmetry, tribimaximal mixing and four zero neutrino Yukawa textures
• Neutrinoless Double Beta Decay and Future Neutrino Oscillation Precision Experiments
• Type II See-Saw Mechanism, Deviations from Bimaximal Neutrino Mixing and Leptogenesis
• Universal 2-3 symmetry
• Lepton Masses in a Minimal Model with Triplet Higgs Bosons and $S_3$ Flavor Symmetry
• Soft breaking of $L_{\mu }-L_{\tau }$ symmetry: Light neutrino spectrum and Leptogenesis
• Lepton Flavor Violation and Neutrino Mixings in a 3X2 Seesaw Model
• Masses, mixing angles and phases of general Majorana neutrino mass matrix
• Physics of Neutrino Mass
• Calculable lepton masses, seesaw relations and four neutrino mixings in a 3-3-1 model with extra U(1) symmetry
• Testing leptonic SU(2) horizontal symmetry using neutrino mixings
• Neutrino mixing and CP violation from Dirac-Majorana bimaximal mixture and quark-lepton unification
• Neutrino masses and mixing in $A_5$ with flavour antisymmetry
• Conserving the lepton number $L_e-L_{\mu }-L_{\tau }$ in the exact solution of a 3-3-1 gauge model with right-handed neutrinos
• Radiatively Generated ${\nu }_e$ Oscillations: General Analysis, Textures and Models
• Quark-Lepton universality and large leptonic mixing
• Modified Zee mass matrix with zero-sum condition
• Neutrino masses and mixing from flavour antisymmetry
• Numerical consistency check between two approaches to radiative corrections for neutrino masses and mixings
• Neutrino Mass Squared Differences in the Exact Solution of a 3-3-1 Gauge Model without Exotic Electric Charges
• Combined flavor symmetry violation and lepton number violation in neutrino physics
• More on deviation from bi-maximal neutrino mixing
• Systematic Study Of Leptonic Mixing In A Class Of SU_H(2) Models
• Further study on the textures of neutrino mass matrix for maximal atmospherical mixing angle and Dirac CP phase
• Implications of partially degenerate neutrinos at a high scale in the light of KamLAND and WMAP
• Fixing the Solar Neutrino Parameters with Sterile Neutrinos
• The exact eigenstates of the neutrino mass matrix without CP-phase violation
• Gauged $L_e-L_{\mu }-L_{\tau }$ symmetry, fourth generation, neutrino mass and dark matter
• A Froggatt-Nielsen flavor model for neutrino physics