Z_2 Symmetry Prediction for the Leptonic Dirac CP Phase

Abstract

Model-independent consequences of applying a generalized hidden horizontal Z_2 symmetry to the neutrino mass matrix are explored. The Dirac CP phase delta_D can be expressed in terms of the three mixing angles as 4 c_a s_a c_s s_s s_x cos delta_D = (s^2_s - c^2_s s^2_x) (c^2_a - s^2_a) where the s_i, c_i are sines and cosines of the atmospheric, solar, and reactor angles. This relation is independent of neutrino masses and whether neutrinos are Dirac- or Majorana-type. Given the present constraints on the angles, delta_D is constrained to be almost maximal, a result which can be explored in experiments such as NOvA and T2K. The Majorana CP phases do not receive any constraint and are thus model-dependent. Also a distribution of theta_x with a lower limit is obtained without specifying delta_D.

5 pages, 4 figures; Condensed version or PLB with references added; for more details see the previous version

References in corpus (23)

• Tri-Bimaximal Mixing and the Neutrino Oscillation Data
• Discrete Flavor Symmetries and Models of Neutrino Mixing
• Nearly Tri-Bimaximal Neutrino Mixing and CP Violation
• Some Simple Mixing and Mass Matrices for Neutrinos
• Hints of theta_13>0 from global neutrino data analysis
• Updated global fit to three neutrino mixing: status of the hints of theta13 > 0
• A 2-3 Symmetry in Neutrino Oscillations
• Bimaximal Neutrino Mixing and Neutrino Mass Matrix
• The Unique Horizontal Symmetry of Leptons
• Possible Alternatives to Tri-bimaximal Mixing
• Icosahedral (A5) Family Symmetry and the Golden Ratio Prediction for Solar Neutrino Mixing
• The golden ratio prediction for the solar neutrino mixing
• Correlated Hierarchy, Dirac Masses and Large Mixing Angles
• Mass Independent Textures and Symmetry
• Golden Ratio Prediction for Solar Neutrino Mixing
• Common Origin of Soft mu-tau and CP Breaking in Neutrino Seesaw and the Origin of Matter
• Theta_13: phenomenology, present status and prospect
• Neutrino mixing with broken $S_3$ symmetry
• Determining the Neutrino Mass Hierarchy and CP Violation in NOvA with a Second Off-Axis Detector
• Generalized Hidden ${\mathcal{Z}}_2$ Symmetry of Neutrino Mixing
• Model-Independent Analysis of Tri-bimaximal Mixing -- a Softly-Broken Hidden or an Accidental Symmetry?
• Is the tri-bimaximal mixing accidental?
• The hunt for theta13 at the Daya Bay nuclear power plant

Cited by in corpus (123)

• Neutrino Mass and Mixing with Discrete Symmetry
• Finite Modular Groups and Lepton Mixing
• Lepton mixing and discrete symmetries
• Residual Symmetries for Neutrino Mixing with a Large theta_13 and Nearly Maximal delta_D
• A review of mu-tau flavor symmetry in neutrino physics
• Discrete Flavour Symmetries, Neutrino Mixing and Leptonic CP Violation
• Discrete Flavour Groups, θ_13 and Lepton Flavour Violation
• S_4 Flavored CP Symmetry for Neutrinos
• Sizeable θ_13 from the Charged Lepton Sector in SU(5), (Tri-)Bimaximal Neutrino Mixing and Dirac CP Violation
• Lepton Mixing Patterns from a Scan of Finite Discrete Groups
• Trimaximal TM1 neutrino mixing in S4 with spontaneous CP violation
• Golden Ratio Neutrino Mixing and $A_5$ Flavor Symmetry
• Minimal extension of tri-bimaximal mixing and generalized Z_2 X Z_2 symmetries
• The reactor mixing angle and CP violation with two texture zeros in the light of T2K
• Lepton Flavor Mixing and CP Violation in the Minimal Type-(I+II) Seesaw Model with a Modular $A_4$ Symmetry
• Discrete symmetries and model-independent patterns of lepton mixing
• Lepton Mixing from Delta (3 n^2) and Delta (6 n^2) and CP
• Tri-Bimaximal Neutrino Mixing and Discrete Flavour Symmetries
• The Minimal Seesaw Model with a Modular $S_4$ Symmetry
• Generalized CP symmetries in Delta(27) flavor models
• Nonzero ${\theta }_{13}$ and Leptogenesis in a Type-I See-saw Model with $A_4$ Symmetry
• Predictions for Leptonic Mixing Angle Correlations and Non-trivial Dirac CP Violation from $A_5$ with Generalised CP Symmetry
• Implications of $\mu -\tau$ Flavored CP Symmetry of Leptons
• Measuring the Leptonic CP Phase in Neutrino Oscillations with Non-Unitary Mixing
• Dirac Neutrinos with $S_4$ Flavor Symmetry in Warped Extra Dimensions
• Testing atmospheric mixing sum rules at precision neutrino facilities
• Mixing Patterns from the Groups Sigma (n phi)
• Lepton Flavor Mixing and CP Symmetry
• A Bottom-Up Approach to Lepton Flavor and CP Symmetries
• Phenomenological Study of Residual Z^s_2 and Zbar^s_2 Symmetries
• Lepton flavor at the electroweak scale: A complete A4 model
• The $\mu$-$\tau$ reflection symmetry of Majorana neutrinos
• Neutrino mixing matrices with relatively large ${\theta }_{13}$ and with texture one-zero
• How good is μ-τsymmetry after results on non-zero θ_{13}?
• Sub-dominant Type II Seesaw as an Origin of Non-zero ${\theta }_{13}$ in SO(10) model with TeV scale $Z^{\prime }$ Gauge Boson
• Deviations from Tri-Bimaximal Neutrino Mixing Using Type II Seesaw
• The symmetry approach to quark and lepton masses and mixing
• Residual Z2 x Z2 symmetries and lepton mixing
• Lepton Mixing in $A_5$ Family Symmetry and Generalized CP
• Discrete Symmetries and Neutrino Mass Perturbations for θ_{13}
• Neutrino masses generation in a Z_4 model
• Implications of Recent Data on Neutrino Mixing and Lepton Flavour Violating Decays for the Zee Model
• Relating neutrino masses and mixings by discrete symmetries
• Stitching an Asymmetric Texture with ${\mathcal{T}}_{13}\times {\mathcal{Z}}_5$ Family Symmetry
• Generating ${\theta }_{13}$ from sterile neutrinos in $\mu -\tau$ symmetric models
• A new A4 model for lepton mixing
• Renormalisation Group Corrections to Neutrino Mass Sum Rules
• Toward a unified interpretation of quark and lepton mixing from flavor and CP symmetries
• Addressing Neutrino Mixing Models with DUNE and T2HK
• Lepton Sector Phases and Their Roles in Flavor and Generalized CP Symmetries
• Discrete symmetries, roots of unity, and lepton mixing
• Lepton mixing patterns from the group $\Sigma (36\times 3)$ with a generalized CP transformation
• Prediction of Leptonic CP Phase in $A_4$ symmetric model
• Neutrino Mixing and Discrete Symmetries
• Common Origin of Non-zero ${\theta }_{13}$ and Baryon Asymmetry of the Universe in a TeV scale Seesaw Model with $A_4$ Flavour Symmetry
• Perturbations to $\mu -\tau$ Symmetry, Leptogenesis and Lepton Flavour Violation with Type II Seesaw
• Neutrino Masses and Leptogenesis in Type I+II Seesaw Models
• Predictivity of Neutrino Mass Sum Rules
• Status of Neutrino Mass and Mixing
• Finite Family Groups for Fermionic and Leptoquark Mixing Patterns
• A Survey of Neutrino Flavor Models and the Neutrinoless Double Beta Decay Funnel
• Maximal CP Violation in Flavor Neutrino Masses
• Constraining Type I Seesaw with $A_4$ Flavor Symmetry From Neutrino Data and Leptogenesis
• Exploring Partial $\mu$-$\tau$ Reflection Symmetry at DUNE and Hyper-Kamiokande
• Renormalisation Group Corrections to Neutrino Mixing Sum Rules
• A study on a minimally broken residual TBM-Klein symmetry with its implications on flavoured leptogenesis and ultra high energy neutrino flux ratios
• Understanding for flavor physics in the lepton sector
• Predicting Leptonic CP phase by considering deviations in charged lepton and neutrino sectors
• On ${\mathbf{Q}}_6$ flavor symmetry and the breaking of $\mu \leftrightarrow \tau$ symmetry
• Leptonic Sum Rules from Flavour Models with Modular Symmetries
• Prediction of leptonic CP phase from perturbatively modified tribimaximal (or bimaximal) mixing
• Discrete symmetries and mixing of Dirac neutrinos
• Non-zero ${\theta }_{13}$ with Unbroken $\mu -\tau$ Symmetry of the Active Neutrino Mass Matrix in the Presence of a Light Sterile Neutrino
• Charged lepton correction to tribimaximal lepton mixing and its implications to neutrino phenomenology
• Extended scaling and residual flavor symmetry in the neutrino Majorana mass matrix
• Type II Seesaw Origin of Non-zero ${\theta }_{13},{\delta }_{CP}$ and Leptogenesis
• Tribimaximal Mixing in the $SU(5)\times {\mathcal{T}}_{13}$ Texture
• Large Leptonic Dirac CP Phase from Broken Democracy with Random Perturbations
• CP transformed mixed $\mu \tau$ antisymmetry for neutrinos and its consequences
• Generalized ${\mathbb{Z}}_2\times {\mathbb{Z}}_2$ in Scaling neutrino Majorana mass matrix and baryogenesis via flavored leptogenesis
• Neutrino masses and mixings with non-zero ${\theta }_{13}$ in Type I+II Seesaw Models
• Residual $Z_2$ symmetries and leptonic mixing patterns from finite discrete subgroups of $U(3)$
• Predictions for the Dirac CP-Violating Phase from Sum Rules
• Common Origin of Non-zero ${\theta }_{13}$ and Dark Matter in an $S_4$ Flavour Symmetric Model with Inverse Seesaw
• Neutrino 2012: Outlook - theory
• FCNC-free multi-Higgs-doublet models from broken family symmetries
• Naturally perturbed S${}_3$ neutrinos
• Leptonic CP phases near the $\mu -\tau$ symmetric limit
• A modified Friedberg-Lee symmetry for the TM1 neutrino mixing
• Predicting leptonic CP violation in the light of Daya Bay result
• Is θ_{13}^{PMNS} correlated with θ_{23}^{PMNS} or not?
• Trimaximal-Cabibbo neutrino mixing: A parametrization in terms of deviations from tri-bimaximal mixing
• The (Z_2)^3 symmetry of the non-tri-bimaximal pattern for the neutrino mass matrix
• Lepton Mixing, Residual Symmetries, and Trigonometric Diophantine Equations
• New textures for the lepton mass matrices
• Perturbation to TBM mixing and its phenomenological implications
• Real and complex random neutrino mass matrices and theta13
• Connecting Leptonic CP Violation, Lightest Neutrino Mass and Baryon Asymmetry Through Type II Seesaw
• Consequences of $\mu$-$\tau$ reflection symmetry for $3+1$ neutrino mixing
• Checking Flavour Models at Neutrino Facilities
• Trimaximal Mixing and Extended Magic Symmetry in a Model of Neutrino Mass Matrix
• Simiplified textures of the seesaw model for the trimaximal neutrino mixings
• Confronting the prediction of leptonic Dirac CP-violating phase with experiments
• Fermion Masses and Mixing in General Warped Extra Dimensional Models
• Double seesaw mechanism and lepton mixing
• $\mu$-$\tau$ symmetry breaking and CP violation in the neutrino mass matrix
• Deviations to Tri-Bi-Maximal mixing in the limit of $\mu -\tau$ symmetry
• Predictions for the Leptonic Dirac CP-Violating Phase
• Reconstructing Effective Lagrangians Embedding Residual Family Symmetries
• Unifying Residual ${\mathbb{Z}}_2^{23}\otimes {\mathbb{Z}}_2^{12}$ Symmetries and Quark-Lepton Complementarity
• A Possible Hermitian Neutrino Mixing Ansatz
• Planck Scale Origin of Non-zero ${\theta }_{13}$ and Super-WIMP Dark Matter
• Neutrino and Charged Lepton Flavour Today
• Restricting Majorana phases in the Tri-Bi-Maximal limit
• Predicting Neutrino Mixing Angles Using Group Presentations
• Rotated $\mu$\,--\,$\tau$ Symmetry for One Generic Neutrino Mixing Angle: An analytical Study
• Broken Democracy with Intermediate ${\mathbb{S}}_2\times {\mathbb{S}}_2$ Residual Symmetry and Random Perturbations
• Neutrino mass, mixing and discrete symmetries
• On Bimaximal Neutrino Mixing and GUT's
• Lepton mixing patterns from $PS{L}_2(7)$ with a generalised CP symmetry
• Connecting Tribimaximal and Bitrimaximal Mixings
• CKM matrix and flavor symmetries
• Note about lepton masses and mixings in two Ansatze