A Redetermination of the Neutrino Mass-Squared Difference in Tri-Maximal Mixing with Terrestrial Matter Effects

Abstract

We re-fit for the neutrino mass-squared difference $\Delta m^2$ in the threefold maximal (ie. tri-maximal) mixing scenario using recent CHOOZ and SUPER-K data, taking account of matter effects in the Earth. While matter effects have little influence on reactor experiments and proposed long-baseline accelerator experiments with $L \simlt 1000 km$, they are highly significant for atmospheric experiments, suppressing naturally ${\nu }_e$ mixing and enhancing ${\nu }_{\mu }-{\nu }_{\tau }$ mixing, so as to effectively remove the experimental distinction between threefold maximal and twofold maximal ${\nu }_{\mu }-{\nu }_{\tau }$ mixing. Threefold maximal mixing is fully consistent with the CHOOZ and SUPER-K data and the best-fit value for the neutrino mass-squared difference is $\Delta m^2=(0.98{\pm }_{0.23}^{0.30})\times 10^{-3}e{V}^2$.

17 Pages LaTex, plus 8 Figures as postscript files

Cited by in corpus (142)

• Tri-Bimaximal Mixing and the Neutrino Oscillation Data
• Identifying the neutrino mass spectrum from a supernova neutrino burst
• Mass and Flavor Mixing Schemes of Quarks and Leptons
• Theory of Neutrinos: A White Paper
• Right-Handed Neutrinos at LHC and the Mechanism of Neutrino Mass Generation
• Mu-Tau Reflection Symmetry in Lepton Mixing and Neutrino Oscillations
• Sterile Neutrino Dark Matter
• A White Paper on keV Sterile Neutrino Dark Matter
• Flavour physics of leptons and dipole moments
• Some Simple Mixing and Mass Matrices for Neutrinos
• Permutation Symmetry, Tri-Bimaximal Neutrino Mixing and the S3 Group Characters
• The Unique Horizontal Symmetry of Leptons
• The Horizontal Symmetry for Neutrino Mixing
• SU(3) family symmetry and neutrino bi-tri-maximal mixing
• Obtaining the Neutrino Mixing Matrix with the Tetrahedral Group
• Symmetry of Lepton Mixing
• Minimal Modification To The Tri-bimaximal Neutrino Mixing
• The Simplest Neutrino Mass Matrix
• Deviations from Tribimaximal Neutrino Mixing
• Lepton Mixing Predictions from Delta(6n^2) Family Symmetry
• Lepton Mixing Patterns from a Scan of Finite Discrete Groups
• Direct determination of neutrino mass parameters at future colliders
• Simplified Unitarity Triangles for the Lepton Sector
• CP and T Violation in Neutrino Oscillations and Invariance of Jarlskog's Determinant to Matter Effects
• Common Origin of mu-tau and CP Breaking in Neutrino Seesaw, Baryon Asymmetry, and Hidden Flavor Symmetry
• Minimal extension of tri-bimaximal mixing and generalized Z_2 X Z_2 symmetries
• Neutrino oscillations with three flavors in matter: Applications to neutrinos traversing the Earth
• Mass Independent Textures and Symmetry
• S_4 Flavor Symmetry Embedded into SU(3) and Lepton Masses and Mixing
• Common Origin of Soft mu-tau and CP Breaking in Neutrino Seesaw and the Origin of Matter
• The A4 flavor symmetry and neutrino phenomenology
• An A4 flavor model for quarks and leptons in warped geometry
• Tri-Bimaximal Lepton Mixing and Leptogenesis
• Quark lepton complementarity and renormalization group effects
• Neutrino Masses with "Zero Sum" Condition: $m_{{\nu }_1}+m_{{\nu }_2}+m_{{\nu }_3}=0$
• S_3 Symmetry and Neutrino Masses and Mixings
• Neutrino Mass and New Physics
• Nonzero ${\theta }_{13}$ and Leptogenesis in a Type-I See-saw Model with $A_4$ Symmetry
• Leptogenesis in the Exceptional Supersymmetric Standard Model: flavour dependent lepton asymmetries
• The Seesaw Mechanism in Quark-Lepton Complementarity
• A Viable Randall-Sundrum Model for Quarks and Leptons with T' Family Symmetry
• Consequences of Approximate $S_3$ Symmetry of the Neutrino Mass Matrix
• Magic Neutrino Mass Matrix and the Bjorken-Harrison-Scott Parameterization
• Large CP Violation, Large Mixings of Neutrinos and Democratic-type Neutrino Mass Matrix
• Group Theory and Dynamics of Neutrino Mixing
• Re-evaluation of neutrino mixing pattern according to latest T2K result
• CP violation effects and high energy neutrinos
• Radiatively broken symmetries of nonhierarchical neutrinos
• Minimal seesaw model with tri/bi-maximal mixing and leptogenesis
• Systematic Parameter Space Search of Extended Quark-Lepton Complementarity
• Group space scan of flavor symmetries for nearly tribimaximal lepton mixing
• Natural Vacuum Alignment from Group Theory: The Minimal Case
• Neutrino mixing matrices with relatively large ${\theta }_{13}$ and with texture one-zero
• Mapping out SU(5) GUTs with non-Abelian discrete flavor symmetries
• Running Effects on Lepton Mixing Angles in Flavour Models with Type I Seesaw
• Lepton Masses in a Minimal Model with Triplet Higgs Bosons and $S_3$ Flavor Symmetry
• An $A_4$ realization of inverse seesaw: neutrino masses, ${\theta }_{13}$ and leptonic non-unitarity
• Parametrizing the Neutrino Mixing Matrix
• Discrete symmetries and models of flavor mixing
• Charged Lepton Mass Relations in a Supersymmetric Yukawaon Model
• Exploring the neutrino mass matrix at M_R scale
• The charged lepton mass matrix and non-zero ${\theta }_{13}$ with TeV scale New Physics
• Neutrino Mixing and the Private Higgs
• Flavor origin of dark matter and its relation with leptonic nonzero ${\theta }_{13}$ and Dirac CP phase $\delta$
• On the Vanishing of the CP Asymmetry in Leptogenesis due to Form Dominance
• A new relation between quark and lepton mixing matrices
• Neutrino Matter Effect Invariants and the Observables of Neutrino Oscillations
• Spontaneous CP Violation in Lepton-sector: a common origin for ${\theta }_{13}$, Dirac CP phase and leptogenesis
• Remark on the minimal seesaw model and leptogenesis with tri/bi-maximal mixing
• Large CP Violation, Large Mixings of Neutrinos and the $Z_3$ Symmetry
• Triminimal Parametrization of Quark Mixing Matrix
• Is the tri-bimaximal mixing accidental?
• Suppressed FCNC in New Physics with Shared Flavor Symmetry
• Unifying the flavor origin of dark matter with leptonic nonzero ${\theta }_{13}$
• Viability of the exact tri-bimaximal mixing at M_{GUT} in SO(10)
• Parametrization of fermion mixing matrices in Kobayashi-Maskawa form
• On self-complementarity relations of neutrino mixing
• Neutrino mass matrices leaving no trace
• O(3) Flavor Symmetry and an Empirical Neutrino Mass Matrix
• Spontaneous R-Parity Violation, $A_4$ Flavor Symmetry and Tribimaximal Mixing
• Phenomenological Meaning of a Neutrino Mass Matrix Related to Up-Quark Masses
• Real and Imaginary Elements of Fermion Mass Matrices
• Unified triminimal parametrizations of quark and lepton mixing matrices
• Unified parametrization of quark and lepton mixing matrices in tri-bimaximal pattern
• Correlating lepton mixing angles and mixing matrix with Wolfenstein parameters
• Unified model of fermion masses with Wilson line flavor symmetry breaking
• Tri-Maximal vs Bi-Maximal Neutrino Mixing
• Semidirect Product Groups, Vacuum Alignment and Tribimaximal Neutrino Mixing
• Yukawaon Model in the Quark Sector and Nearly Tribimaximal Neutrino Mixing
• Covariant Extremisation of Flavour-Symmetric Jarlskog Invariants and the Neutrino Mixing Matrix
• Predicting Leptonic CP phase by considering deviations in charged lepton and neutrino sectors
• A Model for Large theta13 Constructed using the Eigenvectors of the S4 Rotation Matrices
• A_4 Symmetry and Lepton Masses and Mixing
• Perturbing exactly tri-bimaximal neutrino mixings with charged lepton mass matrices
• Tribimaximal Neutrino Mixing and a Relation Between Neutrino- and Charged Lepton-Mass Spectra
• Charged lepton correction to tribimaximal lepton mixing and its implications to neutrino phenomenology
• Renormalization group evolution of neutrino mixing parameters near ${\theta }_{13}=0$ and models with vanishing ${\theta }_{13}$ at the high scale
• Unitarity boomerangs of quark and lepton mixing matrices
• The flavor problem and discrete symmetries
• Deviation from Tri-Bimaximal Mixing and Large Reactor Mixing Angle
• Exact Matter-Covariant Formulation of Neutrino Oscillation Probabilities
• Realization of the minimal extended seesaw mechanism and the $T{M}_2$ type neutrino mixing
• Maximal CP Violation Hypothesis and a Lepton Mixing Matrix
• Implications of Fermionic Dark Matter on recent neutrino oscillation data
• Unified description of quark and lepton mixing matrices based on a Yukawaon model
• The Higgs Seesaw Induced Neutrino Masses and Dark Matter
• Comment on Reparametrization Invariance of Quark-Lepton Complementarity
• Plaquette Invariants and the Flavour Symmetric Description of Quark and Neutrino Mixings
• An SU(3) symmetry for light neutrinos
• Neutrino Mass Matrix with No Adjustable Parameters
• Family symmetries and the origin of fermion masses and mixings
• New mixing pattern for neutrinos
• Horizontal Symmetry
• Perturbation to TBM mixing and its phenomenological implications
• Testable Deviation from Exact Tribimaximal Mixing
• Neutrino Sector and Proton Lifetime in a Realistic SUSY SO(10) Model
• A Higgs Test of Horizontal Symmetry
• Neutrino Oscillations: Status, Prospects and Opportunities at a Neutrino Factory
• Empirical Neutrino Mass Matrix Related to Up-Quark Masses
• Fermion Masses and Mixing in General Warped Extra Dimensional Models
• Nonzero ${\theta }_{13}$ and Neutrino Masses from Modified Neutrino Mixing Matrix
• Real Invariant Matrices and Flavour-Symmetric Mixing Variables with Emphasis on Neutrino Oscillations
• Fully Constrained Majorana Neutrino Mass Matrices Using $\Sigma (72\times 3)$
• The atmospheric neutrino anomaly without maximal mixing?
• New Origin of a Bilinear Mass Matrix Form
• Yukawaon Model with U(3)$\times$O(3) Family Symmetries
• Lepton Flavor Violation in Complex SUSY Seesaw Models with Nearly Tribimaximal Mixing
• Simple parametrization of neutrino mixing matrix
• Discrete symmetries and neutrino masses
• Can Massless and Light Yukawaons be Harmless?
• Possibility of observing Leptonic CP violation with perturbed Democratic mixing patterns
• Examination of pairs in neutrino mixing matrix
• Generating CP violation from a modified Fridberg-Lee model
• How can CP violation in the neutrino sector be large in a $2\leftrightarrow 3$ symmetric model?
• On The Origin of Neutrino Mass and Mixing in the Standard Model
• Neutrino masses and mixing
• SU(5)-Compatible Yukawaon Model
• $A_4$ realization of left-right symmetric linear seesaw
• The small mixing angle ${\theta }_{13}$ and the lepton asymmetry
• Connecting Tribimaximal and Bitrimaximal Mixings
• Suppression of flavor violation in an A4 warped extra dimensional model
• Non-zero ${\theta }_{13}$ and leptonic CP phase with $A_4$ Symmetry