Mass Independent Textures and Symmetry

Abstract

A mass-independent texture is a set of linear relations of the fermion mass-matrix elements which imposes no constraint on the fermionic masses nor the Majorana phases. Magic and 2-3 symmetries are examples. We discuss the general construction and the properties of these textures, as well as their relation to the quark and neutrino mixing matrices. Such a texture may be regarded as a symmetry, whose unitary generators of the symmetry group can be explicitly constructed. In particular, the symmetries connected with the tri-bimaximal neutrino mixing matrix are discussed, together with the physical consequence of breaking one symmetry but preserving another.

Version to be published in PRD. References modified, and a misprint in eq (9) is corrected

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• Global analysis of three-flavor neutrino masses and mixings
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Cited by in corpus (74)

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• Z_2 Symmetry Prediction for the Leptonic Dirac CP Phase
• Trimaximal mixing with predicted θ_13 from a new type of constrained sequential dominance
• Spontaneous CP violation from vacuum alignment in $S_4$ models of leptons
• A predictive A4 model, Charged Lepton Hierarchy and Tri-bimaximal Sum Rule
• Lepton Flavour Violation in Models with A4 Flavour Symmetry
• Multiple modular symmetries as the origin of flavour
• Discrete symmetries and model-independent patterns of lepton mixing
• Lepton Mixing from Delta (3 n^2) and Delta (6 n^2) and CP
• Generalized CP symmetries in Delta(27) flavor models
• Lepton Flavour Violation in a Supersymmetric Model with A4 Flavour Symmetry
• A(4) Flavor Symmetry Model for Dirac-Neutrinos and Sizable U(e3)
• Flavor Composition of UHE Neutrinos at Source and at Neutrino Telescopes
• Finite Symmetry of Leptonic Mass Matrices
• Minimal see-saw model predicting best fit lepton mixing angles
• A Supersymmetric D4 Model for mu-tau Symmetry
• Near Maximal Atmospheric Mixing in Neutrino Mass Matrices with Two Vanishing Minors
• Simple two Parameter Description of Lepton Mixing
• Testing atmospheric mixing sum rules at precision neutrino facilities
• The minimal seesaw and leptogenesis models
• A Minimal Model of Neutrino Flavor
• CP Violation in the Lepton Sector and Implications for Leptogenesis
• Spontaneous CP violation in A4xSU(5) with Constrained Sequential Dominance 2
• Group Theory and Dynamics of Neutrino Mixing
• theta_C from the Dihedral Flavor Symmetries D_7 and D_14
• A partial $\mu$-$\tau$ symmetry and its prediction for leptonic CP violation
• The $\mu$-$\tau$ reflection symmetry of Majorana neutrinos
• Parametrizing the Lepton Mixing Matrix in terms of Charged Lepton Corrections
• mu-tau Symmetry and Charged Lepton Mass Hierarchy in a Supersymmetric D4 Model
• An $S_3$ Model for Lepton Mass Matrices with Nearly Minimal Texture
• Quark mixing sum rules and the right unitarity triangle
• Mu-tau reflection symmetry with a texture-zero
• Trimaximal mixing with a texture zero
• Constraints on leptogenesis from a symmetry viewpoint
• Generalized Hidden ${\mathcal{Z}}_2$ Symmetry of Neutrino Mixing
• Correlation between Leptonic CP Violation and mu-tau Symmetry Breaking
• Lepton mixing patterns from the group $\Sigma (36\times 3)$ with a generalized CP transformation
• Unitarity constraints on trimaximal mixing
• Hybrid Textures of the Right-Handed Majorana Neutrino Mass Matrix
• Modifications to the neutrino mixing from the mu-tau reflection symmetry
• Horizontal Symmetries $\Delta (150)$ and $\Delta (600)$
• Model of flavor with quaternion symmetry
• Prediction of leptonic CP phase from perturbatively modified tribimaximal (or bimaximal) mixing
• Theory of the Neutrino Mass
• Symmetry based parameterizations of the lepton mixing matrix
• Renormalization Group Evolution of Neutrino Parameters in Presence of Seesaw Threshold Effects and Majorana Phases
• Lepton and Quark Mixing from Stepwise Breaking of Flavor and CP
• Effective alignments as building blocks of flavour models
• A Built-in Horizontal Symmetry of $SO(10)$
• Effective alignments and the landscape of $S_4$ flavour models
• Plaquette Invariants and the Flavour Symmetric Description of Quark and Neutrino Mixings
• A modified Friedberg-Lee symmetry for the TM1 neutrino mixing
• Texture One Zero Dirac Neutrino Mass Matrix With Vanishing Determinant or Trace Condition
• New mixing schemes for (3+1) neutrinos
• Confronting the prediction of leptonic Dirac CP-violating phase with experiments
• Diagonal reflection symmetries, four-zero texture, and trimaximal mixing with predicted ${\theta }_{13}$ in an $A_4$ symmeric model
• Fermion number conservation and two Higgs doublet models without tree level flavour changing neutral currents
• A translational flavor symmetry in the mass terms of Dirac and Majorana fermions
• One-loop Type II Seesaw Neutrino Model with Stable Dark Matter Candidates
• Leptogenesis, Fermion Masses and Mixings in a SUSY $SU(5)$ GUT with $D_4$ Flavor Symmetry
• Phenomenology of Trimaximal mixing with one texture equality
• Phenomenological implications of two simple modifications to Tri-Bimaximal mixing
• Is magic texture for Majorana neutrino immanent in Dirac nature?
• Lepton mixing patterns from $PS{L}_2(7)$ with a generalised CP symmetry
• New partial symmetries from group algebras for lepton mixing
• Neutrino flavor mixing with approximate $\mu$-$\tau$ symmetry within the low-scale minimal linear seesaw model
• Chiral perturbative analysis for an almost massless neutrino in the type-I seesaw mechanism
• Implications of CP violating 2HDM in B physics
• Lepton mixing patterns from combinations of elementary correlations
• Domain Walls in the $A_4$ Flavored NMSSM