Theta-13 as a Probe of Mu-Tau symmetry for Leptons

Abstract

Many experiments are being planned to measure the neutrino mixing parameter ${\theta }_{13}$ using reactor as well as accelerator neutrino beams. In this note, the theoretical significance of a high precision measurement of this parameter is discussed. It is emphasized that it will provide crucial information about different ways to understand the origin of large atmospheric neutrino mixing and move us closer towards determining the neutrino mass matrix. For instance if exact $\mu \leftrightarrow \tau$ symmetry in the neutrino mass matrix is assumed to be the reason for maximal ${\nu }_{\mu }-{\nu }_{\tau }$ mixing, one gets ${\theta }_{13}=0$. Whether ${\theta }_{13}\simeq \sqrt{\Delta m_{\odot }^2/\Delta m_A^2}$ or ${\theta }_{13}\simeq \Delta m_{\odot }^2/\Delta m_A^2$ can provide information about the way the $\mu \leftrightarrow \tau$ symmetry breaking manifests in the case of normal hierarchy. We also discuss the same question for inverted hierarchy as well as possible gauge theories with this symmetry.

12 pages; no figures; latex; more exact expressions given for some parameters and minor typos corrected; paper accepted for publication in JHEP

References in corpus (1)

• Solar Neutrinos Before and After Neutrino 2004

Cited by in corpus (103)

• Theory of Neutrinos: A White Paper
• Physics at a future Neutrino Factory and super-beam facility
• $S_3$ Symmetry and Tri-bimaximal Mixing
• A review of mu-tau flavor symmetry in neutrino physics
• Symmetry of Lepton Mixing
• The Elements of the Neutrino Mass Matrix: Allowed Ranges and Implications of Texture Zeros
• A model for fermion masses and lepton mixing in SO(10) x A4
• Broken mu-tau Symmetry and Leptonic CP Violation
• Nearly Tri-bimaximal Neutrino Mixing and CP Violation from mu-tau Symmetry Breaking
• Fermion Masses and Mixings from Dihedral Flavor Symmetries with Preserved Subgroups
• Deviations from Tribimaximal Neutrino Mixing
• Non-vanishing $U_{e3}$ and $\cos 2{\theta }_{23}$ from a broken $Z_2$ symmetry
• A Maximal Atmospheric Mixing from a Maximal CP Violating Phase
• Common Origin of mu-tau and CP Breaking in Neutrino Seesaw, Baryon Asymmetry, and Hidden Flavor Symmetry
• Mass Independent Textures and Symmetry
• Leptogenesis, $\mu -\tau$ Symmetry and ${\theta }_{13}$
• Lepton Mixing and Cancellation of the Dirac Mass Hierarchy in SO(10) GUTs with Flavor Symmetries T7 and Sigma(81)
• The A4 flavor symmetry and neutrino phenomenology
• μ-τSymmetry and Maximal CP Violation
• Leptogenesis and $\mu -\tau$ symmetry
• An SO(10) GUT Model with $S4$ Flavor Symmetry
• Flavor Symmetry L_e - L_mu - L_tau, Atmospheric Neutrino Mixing and CP Violation in the Lepton Sector
• U_{PMNS} = U_ell^dagger U_nu
• Model Predictions for Neutrino Oscillation Parameters
• Hybrid Textures of Neutrinos
• Phased Breaking of mu-tau symmetry and Leptogenesis
• Grand unification of $\mu -\tau$ Symmetry
• A Supersymmetric D4 Model for mu-tau Symmetry
• Embedding A4 into SU(3)xU(1) flavor symmetry: Large neutrino mixing and fermion mass hierarchy in SO(10) GUT
• Implications of $\mu -\tau$ Flavored CP Symmetry of Leptons
• Fermion Mass Hierarchies and Flavour Mixing from a Minimal Discrete Symmetry
• Neutrino Telescopes as a Probe of Broken $\mu$-$\tau$ Symmetry
• Scaling in the Neutrino Mass Matrix
• 'Mu-Tau' symmetry, tribimaximal mixing and four zero neutrino Yukawa textures
• Neutrino 2-3 Symmetry and Inverted Hierarchy
• The discrete flavor symmetry D5
• Seesaw Right Handed Neutrino as the Sterile Neutrino for LSND
• Neutrinoless Double Beta Decay and Future Neutrino Oscillation Precision Experiments
• Screening of Dirac flavor structure in the seesaw and neutrino mixing
• Magic Neutrino Mass Matrix and the Bjorken-Harrison-Scott Parameterization
• Corrections to Tri-bimaximal Neutrino Mixing: Renormalization and Planck Scale Effects
• Neutrino Mixing and Neutrino Telescopes
• Resolving theta_{23} Degeneracy by Accelerator and Reactor Neutrino Oscillation Experiments
• Neutrino Mixings in SO(10) with Type II Seesaw and theta_{13}
• Inverted Mass Hierarchy from Scaling in the Neutrino Mass Matrix: Low and High Energy Phenomenology
• Perturbed S3 neutrinos
• Breaking of L_mu - L_tau Flavor Symmetry, Lepton Flavor Violation and Leptogenesis
• Universal 2-3 symmetry
• Can four-zero-texture mass matrix model reproduce the observed quark and lepton mixing angles and CP violating phases?
• Constraining Mass Spectra with Sterile Neutrinos from Neutrinoless Double Beta Decay, Tritium Beta Decay and Cosmology
• Deviations from Tri-bimaximal Neutrino Mixing in Type-II Seesaw and Leptogenesis
• A New Type of Complex Neutrino Mass Texture and mu-tau Symmetry
• A dynamical approach to link low energy phases with leptogenesis
• How good is μ-τsymmetry after results on non-zero θ_{13}?
• What Does mu-tau Symmetry Imply about Neutrino Mixings?
• Lepton Masses in a Minimal Model with Triplet Higgs Bosons and $S_3$ Flavor Symmetry
• Scaling in the Neutrino Mass Matrix, mu-tau Symmetry and the See-Saw Mechanism
• A Supersymmetric Contribution to the Neutrino Mass Matrix and Breaking of mu-tau Symmetry
• Two Categories of Approximately mu-tau Symmetric Neutrino Mass Textures
• Determination of Neutrino Mass Texture for Maximal CP Violation
• Masses, mixing angles and phases of general Majorana neutrino mass matrix
• $\mu -\tau$ Symmetry and Radiatively Generated Leptogenesis
• Neutrino mu-tau reflection symmetry and its breaking in the minimal seesaw
• Confusing Sterile Neutrinos with Deviation from Tribimaximal Mixing at Neutrino Telescopes
• $B_s$ Mixing and New Physics in hadronic $b\to s\bar{q}q$ transitions
• The charged lepton mass matrix and non-zero ${\theta }_{13}$ with TeV scale New Physics
• The 2-3 symmetry: Flavour Changing $b$, $\tau$ Decays and Neutrino Mixing
• Radiative Seesaw-type Mechanism of Fermion Masses and Non-trivial Quark Mixing
• Softly broken $\mu \leftrightarrow \tau$ symmetry in the minimal see-saw model
• Correlation between Leptonic CP Violation and mu-tau Symmetry Breaking
• Large and Almost Maximal Neutrino Mixing within the Type II See-Saw Mechanism
• Broken Flavor 2 <-> 3 Symmetry and phenomenological approach for universal quark and lepton mass matrices
• Generalized Hidden ${\mathcal{Z}}_2$ Symmetry of Neutrino Mixing
• Model-Independent Analysis of Tri-bimaximal Mixing -- a Softly-Broken Hidden or an Accidental Symmetry?
• Generating ${\theta }_{13}$ from sterile neutrinos in $\mu -\tau$ symmetric models
• MSLED, Neutrino Oscillations and the Cosmological Constant
• Suppressed FCNC in New Physics with Shared Flavor Symmetry
• Doubly perturbed $S_3$ neutrinos and the $s_{13}$ mixing parameter
• Complex CKM matrix, spontaneous CP violation and generalized $\mu$-$\tau$ symmetry
• General Property of Neutrino Mass Matrix and CP Violation
• Neutrino Mass Textures with Maximal CP Violation
• Neutrino Mixing based on Mass Matrices with a $2\leftrightarrow 3$ Symmetry
• Leptonic CP Violation Induced by Approximately mu-tau Symmetric Seesaw Mechanism
• Constraints on Flavor Neutrino Masses and sin^2(2theta_{12})>>sin^2(theta_{13}) in Neutrino Oscillations
• Covariant Extremisation of Flavour-Symmetric Jarlskog Invariants and the Neutrino Mixing Matrix
• Left-right symmetric model with $\mu \leftrightarrow \tau$ symmetry
• Phase broken $\mu -\tau$ symmetry and the neutrino mass hierarchy
• Running $U_{e3}$ and BR($\mu \to e+\gamma$) in SUSY-GUTs
• Minimal modifications to the Tri-Bimaximal neutrino mixing
• Quark-Lepton universality and large leptonic mixing
• Modified Zee mass matrix with zero-sum condition
• Neutrino Mass Textures and Partial $\mu$-$\tau$ Symmetry
• Patterns in the Fermion Mixing Matrix, a bottom-up approach
• An SU(3) symmetry for light neutrinos
• Broken $S_3$ Neutrinos
• Baryon asymmetry from leptogenesis with four zero neutrino Yukawa textures
• Deviations to Tri-Bi-Maximal mixing in the limit of $\mu -\tau$ symmetry
• Neutrino Mixing and Leptogenesis in $\mu -\tau$ Symmetry
• Partial $\mu -\tau$ Textures and Leptogenesis
• Significance of broken $\mu -\tau$ Symmetry in correlating ${\delta }_{CP}$, ${\theta }_{13}$, Lightest neutrino Mass and neutrinoless double beta decay $0\nu \beta \beta$
• Nonzero ${\theta }_{13}$ and CP Violation from Broken $\mu -\tau$ Symmetry
• Small ${\theta }_{13}$ and solar neutrino oscillation parameters from $\mu -\tau$ symmetry
• Dirac CP phases in a 3+1 neutrino scenario with $\mu -\tau$ symmetry