Diagonal reflection symmetries and universal four-zero texture

Abstract

In this paper, we consider a set of new symmetries in the SM, {\it diagonal reflection} symmetries $R{m}_{u,\nu }^{\ast }R=m_{u,\nu },m_{d,e}^{\ast }=m_{d,e}$ with $R=$ diag $(-1,1,1)$. These generalized $CP$ symmetries predict the Majorana phases to be ${\alpha }_{2,3}/2\sim 0$ or $\pi /2$. A realization of reflection symmetries suggests a broken chiral $U(1{)}_{\mathrm{PQ}}$ symmetry and a flavored axion. The axion scale is suggested to be $⟨{\theta }_{u,d}⟩\sim {\Lambda }_{\mathrm{GUT}}\sqrt{m_{u,d}{m}_{c,s}}/v\sim 10^{12}$[GeV]. By combining the symmetries with the four-zero texture, the mass eigenvalues and mixing matrices of quarks and leptons are reproduced well. This scheme predicts the normal hierarchy, the Dirac phase ${\delta }_{CP}\simeq 203^{\circ },$ and $|m_1|\simeq 2.5$ or $6.2$[meV]. In this scheme, the type-I seesaw mechanism and a given neutrino Yukawa matrix $Y_{\nu }$ completely determine the structure of right-handed neutrino mass $M_R$. An $u-\nu$ unification predicts mass eigenvalues to be $(M_{R1},M_{R2},M_{R3})=(O(10^5),O(10^9),O(10^{14}))$[GeV].

arXiv comment19 pages, 1 table, the final version published in Chinese Physics C

References in corpus (97)

• Evidence for oscillation of atmospheric neutrinos
• Measurement of the rate of nu_e + d --> p + p + e^- interactions produced by 8B solar neutrinos at the Sudbury Neutrino Observatory
• A lower bound on the right-handed neutrino mass from leptogenesis
• Global analysis of three-flavour neutrino oscillations: synergies and tensions in the determination of theta_23, delta_CP, and the mass ordering
• Tri-Bimaximal Neutrino Mixing, A4 and the Modular Symmetry
• Mass and Flavor Mixing Schemes of Quarks and Leptons
• Mu-Tau Reflection Symmetry in Lepton Mixing and Neutrino Oscillations
• Updated Values of Running Quark and Lepton Masses
• Flavor structures of charged fermions and massive neutrinos
• A 2-3 Symmetry in Neutrino Oscillations
• Flaxion: a minimal extension to solve puzzles in the standard model
• A non-standard CP transformation leading to maximal atmospheric neutrino mixing
• Leptogenesis from $\tilde{N}$-dominated early universe
• The Axiflavon
• CP and Discrete Flavour Symmetries
• Atmospheric Neutrino Oscillation and a Phenomenological Lepton Mass Matrix
• A review of mu-tau flavor symmetry in neutrino physics
• CP Violation from Finite Groups
• $S_{2L}$ permutation symmetry for left-handed $\mu$ and $\tau$ families and neutrino oscillations in an $SU(3{)}_L\times U(1{)}_N$ gauge model
• Broken mu-tau Symmetry and Leptonic CP Violation
• Flavoured leptogenesis: a successful thermal leptogenesis with N_1 mass below 10^8 GeV
• Spontaneous CP violation from vacuum alignment in $S_4$ models of leptons
• A Realistic Pattern of Lepton Mixing and Masses from S4 and CP
• Flavor Symmetries and the Description of Flavor Mixing
• Universal Texture of Quark and Lepton Mass Matrices with an Extended Flavor $2\leftrightarrow 3$ Symmetry
• The solar LMA neutrino oscillation solution in the Zee model
• Nearly Tri-bimaximal Neutrino Mixing and CP Violation from mu-tau Symmetry Breaking
• Four-Zero Texture of Hermitian Quark Mass Matrices and Current Experimental Tests
• A Symmetry Pattern of Maximal CP-Violation and a Determination of the Unitarity Triangle
• Generalised CP and $A_4$ Family Symmetry
• Lepton masses, mixings and FCNC in a minimal S_3-invariant extension of the Standard Model
• Texture Zeros and Weak Basis Transformations
• 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
• Generalized CP symmetries and special regions of parameter space in the two-Higgs-doublet model
• Common Origin of Soft mu-tau and CP Breaking in Neutrino Seesaw and the Origin of Matter
• μ-τSymmetry and Maximal CP Violation
• Lepton and Quark Mass Matrices
• Relatively large theta13 and nearly maximal theta23 from the approximate S3 symmetry of lepton mass matrices
• Universal Texture of Quark and Lepton Mass Matrices and a Discrete Symmetry Z_3
• Generalised CP and $\Delta (6n^2)$ Family Symmetry in Semi-Direct Models of Leptons
• Generalized CP symmetries in Delta(27) flavor models
• Lepton Mixing Parameters from $\Delta (48)$ Family Symmetry and Generalised CP
• Generalized $\mu -\tau$ reflection symmetry and leptonic CP violation
• Weak Basis Transformations and Texture Zeros in the Leptonic Sector
• mu-tau Interchange symmetry and lepton mixing
• Generalized $\mu$-$\tau$ symmetry and discrete subgroups of O(3)
• Generalised Geometrical CP Violation in a $T^{\prime }$ Lepton Flavour Model
• Phased Breaking of mu-tau symmetry and Leptogenesis
• SO(10) GUT and Quark-Lepton Mass Matrices
• The $S_3$ flavour symmetry: Neutrino masses and mixings
• Octahedral Symmetry with Geometrical Breaking: New Prediction for Neutrino Mixing Angle theta_{13} and CP Violation
• New Class of Quark Mass Matrix and Calculability of Flavor Mixing Matrix
• The breaking of the flavour permutational symmetry: Mass textures and the CKM matrix
• The breaking of the flavour permutational symmetry: Mass textures and the CKM matrix
• Leptonic CP violation: zero, maximal or between the two extremes
• Broken S_3 Flavor Symmetry of Leptons and Quarks: Mass Spectra and Flavor Mixing Patterns
• Complete Parameter Space of Quark Mass Matrices with Four Texture Zeros
• Predictions for Leptonic Mixing Angle Correlations and Non-trivial Dirac CP Violation from $A_5$ with Generalised CP Symmetry
• Origin of Constrained Maximal CP Violation in Flavor Symmetry
• Texture 4 zero Fritzsch-like lepton mass matrices
• Democratic Mass Matrices from Broken $O(3{)}_L\times O(3{)}_R$ Flavor Symmetry
• 'Mu-Tau' symmetry, tribimaximal mixing and four zero neutrino Yukawa textures
• Bilarge Neutrino Mixing and μ- τPermutation Symmetry for Two-loop Radiative Mechanism
• Fermion Masses and Mixings in a $\mu$-$\tau$ symmetric SO(10)
• Flavored Peccei-Quinn symmetry
• Democratic Neutrino Mixing Reexamined
• Lepton Mass Matrices with Four Texture Zeros
• An approach to permutation symmetry for the electroweak theory
• A Generic Diagonalization of the 3X3 Neutrino Mass Matrix and Its Implications on the mu-tau Flavor Symmetry and Maximal CP Violation
• Can four-zero-texture mass matrix model reproduce the observed quark and lepton mixing angles and CP violating phases?
• Universal 2-3 symmetry
• Democratic (S)fermions and Lepton Flavor Violation
• Implications of the Quark Mass Hierarchy on Flavor Mixings
• Universal Mass Texture, CP violation and Quark-Lepton Complementarity
• On the four-zero texture of quark mass matrices and its stability
• Are lepton flavor mixings in the democratic mass matrix stable against quantum corrections?
• Maximal CP Violation Hypothesis and Phase Convention of the CKM Matrix
• Mu-tau antisymmetry and neutrino mass matrices
• A Supersymmetric Contribution to the Neutrino Mass Matrix and Breaking of mu-tau Symmetry
• Non-Minimal Flavored ${\mathbf{S}}_3\otimes {\mathbf{Z}}_2$ Left-Right Symmetric Model
• Neutrino Mixing and Leptonic CP Violation from $S_4$ Flavour and Generalised CP Symmetries
• Mu-tau reflection symmetry with a high scale texture-zero
• Neutrino mass ordering and μ-τreflection symmetry breaking
• Complex CKM matrix, spontaneous CP violation and generalized $\mu$-$\tau$ symmetry
• Testing generalized CP symmetries with precision studies at DUNE
• Interplay between $\mu$-$\tau$ reflection symmetry, four-zero texture and universal texture
• Consequences of minimal seesaw with complex $\mu \tau$ antisymmetry of neutrinos
• Left-right symmetric model with $\mu \leftrightarrow \tau$ symmetry
• CP transformed mixed $\mu \tau$ antisymmetry for neutrinos and its consequences
• Symmetric Mass Matrix with Two Zeros in SUSY SO(10) GUT, Lepton Flavor Violations and Leptogenesis
• Singular Kahler Potential and Heavy Top Quark in A Democratic Mass Matrix Model
• Seesaw mirroring between light and heavy Majorana neutrinos with the help of the $S_3^{}$ reflection symmetry
• Hierarchical majorana neutrinos from democratic mass matrices
• Democratic mass matrices induced by strong gauge dynamics and large mixing angles for leptons
• Analysis of right-handed Majorana neutrino mass in an $SU(4)\times SU(2{)}_L\times SU(2{)}_R$ Pati--Salam model with democratic texture
• ${\theta }_{23}=\pi /4$ and $\delta =-\pi /2$ In Neutrino Mixing, Which Convention?

Cited by in corpus (4)

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• Diagonal reflection symmetries, four-zero texture, and trimaximal mixing with predicted ${\theta }_{13}$ in an $A_4$ symmeric model
• A general formula by $LD{L}^T$ decomposition for the type-I seesaw mechanism
• Conditions of naturalness and fine-tunings for type-I seesaw mechanism with four-zero texture