Stitching an Asymmetric Texture with ${\mathcal{T}}_{13}\times {\mathcal{Z}}_5$ Family Symmetry

Abstract

We propose ${\mathcal{T}}_{13}={\mathcal{Z}}_{13}⋊{\mathcal{Z}}_3$ as the underlying non-Abelian discrete family symmetry of the asymmetric texture presented in arXiv:1805.10684 [hep-ph]. Its mod 13 arithmetic distinguishes each Yukawa matrix element of the texture. We construct a model of effective interactions that singles out the asymmetry and equates, without fine-tuning, the products of down-quark and charged-lepton masses at a GUT-like scale.

arXiv commentMajor change from previous version: the symmetry ${\mathcal{Z}}_4$ has been changed to ${\mathcal{Z}}_5$ to prohibit a new unwanted vertex, 26 pages, version accepted for publication in Physical Review D

References in corpus (105)

• Observation of electron-antineutrino disappearance at Daya Bay
• Observation of Reactor Electron Antineutrino Disappearance in the RENO Experiment
• Tri-Bimaximal Mixing and the Neutrino Oscillation Data
• Indication for the disappearance of reactor electron antineutrinos in the Double Chooz experiment
• Non-Abelian Discrete Symmetries in Particle Physics
• Neutrino Mass and Mixing with Discrete Symmetry
• Symmetries and Generalisations of Tri-Bimaximal Neutrino Mixing
• Nearly Tri-Bimaximal Neutrino Mixing and CP Violation
• Bi-Maximal Mixing of Three Neutrinos
• Some Simple Mixing and Mass Matrices for Neutrinos
• The Solar Neutrino Puzzle: An Oscillation Solution with Maximal Neutrino Mixing
• Residual Symmetries for Neutrino Mixing with a Large theta_13 and Nearly Maximal delta_D
• Tri-Bimaximal Neutrino Mixing and the Family Symmetry Z_7 x Z_3
• Icosahedral (A5) Family Symmetry and the Golden Ratio Prediction for Solar Neutrino Mixing
• Z_2 Symmetry Prediction for the Leptonic Dirac CP Phase
• Spontaneous CP violation from vacuum alignment in $S_4$ models of leptons
• A Realistic Pattern of Lepton Mixing and Masses from S4 and CP
• Discrete Flavour Symmetries, Neutrino Mixing and Leptonic CP Violation
• The Flavor Group Delta(3n^2)
• Neutrinos on Earth and in the Heavens
• Generalised CP and $A_4$ Family Symmetry
• Correlated Hierarchy, Dirac Masses and Large Mixing Angles
• Unified Parametrization for Quark and Lepton Mixing Angles
• Cabibbo Haze in Lepton Mixing
• L/E-Flatness of the Electron-Like Event Ratio in Super-Kamiokande and a Degeneracy in Neutrino Masses
• Golden Ratio Prediction for Solar Neutrino Mixing
• Determining the Dirac CP Violation Phase in the Neutrino Mixing Matrix from Sum Rules
• Lepton Mixing from Delta (3 n^2) and Delta (6 n^2) and CP
• Lepton mixing from the interplay of the alternating group A5 and CP
• Mixing angle and phase correlations from A5 with generalised CP and their prospects for discovery
• Generalised CP and Trimaximal TM${}_1$ Lepton Mixing in $S_4$ Family Symmetry
• Generalised CP and $\Delta (6n^2)$ Family Symmetry in Semi-Direct Models of Leptons
• Lepton Mixing Predictions including Majorana Phases from $\Delta (6n^2)$ Flavour Symmetry and Generalised CP
• Lepton Mixing Parameters from $\Delta (48)$ Family Symmetry and Generalised CP
• Generalized CP symmetries in Delta(27) flavor models
• Generalized $\mu -\tau$ reflection symmetry and leptonic CP violation
• Tribimaximal Mixing From Small Groups
• Generalised Geometrical CP Violation in a $T^{\prime }$ Lepton Flavour Model
• Generalised CP and $\Delta (96)$ Family Symmetry
• A SUSY SU(5)xT' Unified Model of Flavour with large θ_{13}
• Leptonic Dirac CP Violation Predictions from Residual Discrete Symmetries
• Predicting Lepton Flavor Mixing from $\Delta (48)$ and Generalized CP Symmetries
• Assessing the Viability of $A_4$, $S_4$ and $A_5$ Flavour Symmetries for Description of Neutrino Mixing
• Predictions for Leptonic Mixing Angle Correlations and Non-trivial Dirac CP Violation from $A_5$ with Generalised CP Symmetry
• Testing atmospheric mixing sum rules at precision neutrino facilities
• Predictions for the Leptonic Dirac CP Violation Phase: a Systematic Phenomenological Analysis
• Explicit and spontaneous breaking of SU(3) into its finite subgroups
• Leptogenesis and residual CP symmetry
• An Asymmetric TBM Texture
• A Bottom-Up Approach to Lepton Flavor and CP Symmetries
• T(13) Flavor Symmetry and Decaying Dark Matter
• Testing solar lepton mixing sum rules in neutrino oscillation experiments
• Viewing Lepton Mixing through the Cabibbo Haze
• Deviation from Bimaximal Mixing and Leptonic CP Phases in $S_4$ Family Symmetry and Generalized CP
• Spontaneous breaking of SU(3) to finite family symmetries: a pedestrian's approach
• Neutrino Mixing from CP Symmetry
• CP Symmetry and Lepton Mixing from a Scan of Finite Discrete Groups
• Predictions for the Majorana CP Violation Phases in the Neutrino Mixing Matrix and Neutrinoless Double Beta Decay
• $A_4$ and CP symmetry and a model with maximal CP violation
• Classifying CP transformations according to their texture zeros: theory and implications
• Alternative Schemes of Predicting Lepton Mixing Parameters from Discrete Flavor and CP Symmetry
• Generalized CP and $\Delta (3n^2)$ Family Symmetry for Semi-Direct Predictions of the PMNS Matrix
• Quark and Lepton Mixing Patterns from a Common Discrete Flavor Symmetry with Generalized CP
• Comments on the classification of the finite subgroups of SU(3)
• Lepton Mixing Predictions from Infinite Group Series $D_{9n,3n}^{(1)}$ with Generalized CP
• Revisiting Minimal Lepton Flavour Violation in the Light of Leptonic CP Violation
• Fitting flavour symmetries: the case of two-zero neutrino mass textures
• Combining texture zeros with a remnant CP symmetry in the minimal type-I seesaw
• Lepton Mixing in $A_5$ Family Symmetry and Generalized CP
• Tri-Bimaximal Neutrino Mixing and the $T_{13}$ Flavor Symmetry
• Neutrino Mixing and Leptonic CP Violation from $S_4$ Flavour and Generalised CP Symmetries
• Realistic Tri-Bi-Maximal neutrino mixing
• Neutrino Mixing and the Frobenius Group T13
• Implications of residual CP symmetry for leptogenesis in a model with two right-handed neutrinos
• Generalized Hidden ${\mathcal{Z}}_2$ Symmetry of Neutrino Mixing
• 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
• Lepton mixing patterns from the group $\Sigma (36\times 3)$ with a generalized CP transformation
• The Frobenius group T13 and the canonical see-saw mechanism applied to neutrino mixing
• ${\theta }_{13}^{}$ and The Flavor Ring
• CP Symmetries as Guiding Posts: revamping tri-bi-maximal Mixing. Part II
• Neutrino Predictions from Generalized CP Symmetries of Charged Leptons
• $\Delta \left(27\right)$ flavor singlet-triplet Higgs model for fermion masses and mixings
• Phase broken $\mu -\tau$ symmetry and the neutrino mass hierarchy
• Neutrino masses, the $\mu$-term and ${\mathcal{P}\mathcal{SL}}_2(7)$
• On the characterization of the SU(3)-subgroups of type C and D
• Majorana Physics Through the Cabibbo Haze
• CP transformed mixed $\mu \tau$ antisymmetry for neutrinos and its consequences
• Low-Scale Seesaw and the CP Violation in Neutrino Oscillations
• Predictions for the Dirac CP-Violating Phase from Sum Rules
• Parametrization of the Yukawa matrix in the scotogenic model and single-zero textures of the neutrino mass matrix
• Predicting neutrino oscillations with "bi-large" lepton mixing matrices
• Large Lepton Mixings from Continuous Symmetries
• Status and prospects of `bi-large' leptonic mixing
• High Scale Type-II Seesaw, Dominant Double Beta Decay within Cosmological Bound and Verifiable LFV Decays in SU(5)
• Predicting ${\delta }^{\text{PMNS}}$, ${\theta }_{23}^{\text{PMNS}}$ and fermion mass ratios from flavour GUTs with CSD2
• Phenomenological implications of the Friedberg-Lee transformation in a neutrino mass model with $\mu \tau$-flavored CP symmetry
• Further study on the textures of neutrino mass matrix for maximal atmospherical mixing angle and Dirac CP phase
• Confronting Tri-direct CP-symmetry models to neutrino oscillation experiments
• Pseudo-Dirac neutrinos from flavour dependent CP symmetry
• Deviations to Tri-Bi-Maximal mixing in the limit of $\mu -\tau$ symmetry
• Theory Review of Neutrino Models and CP Violation
• Sign of CP Violating Phase in Quarks and Leptons
• A Gauged Flavor Model of Quarks and Leptons

Cited by in corpus (20)

• Trimaximal neutrino mixing from scotogenic $A_4$ family symmetry
• Leptogenesis from the Asymmetric Texture
• Tribimaximal Mixing in the $SU(5)\times {\mathcal{T}}_{13}$ Texture
• Low-scale Resonant Leptogenesis in $SU(5)$ GUT with ${\mathcal{T}}_{13}$ Family Symmetry
• Flavor physics in SU(5) GUT with scalar fields in the 45 representation
• Minimally modified $A_4$ Altarelli-Feruglio model for neutrino masses and mixings and its experimental consequences
• Anomaly-free ALP from non-Abelian flavor symmetry
• Fermion mass hierarchy and lepton flavor violation using $CP$ symmetry
• A hybrid seesaw model and hierarchical neutrino flavor structures based on $A_4$ symmetry
• Lepton and quark mixing patterns with generalized CP transformations
• Predictions for the Leptonic Dirac CP-Violating Phase
• Neutrino masses and mixing angles in a model with six Higgs triplets and $A_4$ symmetry
• Leptogenesis in an extended seesaw model with $U(1{)}_{B-L}$ symmetry
• Constraining Low-Scale Flavor Models with $(\mathbf{g}-2{)}_{\mathbf{\mu }}$ and Lepton Flavor Violation
• Asymmetric tri-bi-maximal mixing and residual symmetries
• A non-renormalizable neutrino mass model with ${\mathbf{S}}_3\otimes {\mathbf{Z}}_2$ symmetry
• CP Violating Phase Originated from Right-handed Neutrino Mixing
• Dirac CP phases in a 3+1 neutrino scenario with $\mu -\tau$ symmetry
• Connecting Tribimaximal and Bitrimaximal Mixings
• Theory and phenomenology of Dirac neutrinos