Interplay between $\mu$-$\tau$ reflection symmetry, four-zero texture and universal texture

Abstract

In this letter, we consider exact $\mu -\tau$ reflection symmetries for quarks and leptons. Fermion mass matrices are assumed to be four-zero textures for charged fermions $f=u,d,e$ and a symmetric matrix for neutrinos ${\nu }_L$. By a bi-maximal transformation, all the mass matrices lead to $\mu -\tau$ reflection symmetric forms, which seperately satisfy $T_u{m}_{u,\nu }^{\ast }{T}_u=m_{u,\nu }$ and $T_d{m}_{d,e}^{\ast }{T}_d=m_{d,e}$. Reconciliation between the $\mu -\tau$ reflection symmetries and observed $\sin {\theta }_{13}$ predicts ${\delta }_{CP}\simeq 203^{\circ }$. Moreover, imposition of universal texture $(m_f{)}_{11}=0$ for $f=u,d,\nu ,e$ predicts the normal hierarchy with the lightest neutrino mass $|m_1|=6.26$ or $2.54$ meV.

arXiv comment5 pages, substantially modified, the final version published in PLB

References in corpus (36)

• Global analysis of three-flavour neutrino oscillations: synergies and tensions in the determination of theta_23, delta_CP, and the mass ordering
• Mass and Flavor Mixing Schemes of Quarks and Leptons
• Mu-Tau Reflection Symmetry in Lepton Mixing and Neutrino Oscillations
• A non-standard CP transformation leading to maximal atmospheric neutrino mixing
• Search for CP violation in Neutrino and Antineutrino Oscillations by the T2K experiment with $2.2\times 10^{21}$ protons on target
• A review of mu-tau flavor symmetry in neutrino physics
• Flavor Symmetries and the Description of Flavor Mixing
• Universal Texture of Quark and Lepton Mass Matrices with an Extended Flavor $2\leftrightarrow 3$ Symmetry
• 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
• Minimal extension of tri-bimaximal mixing and generalized Z_2 X Z_2 symmetries
• μ-τSymmetry and Maximal CP Violation
• Lepton and Quark Mass Matrices
• Universal Texture of Quark and Lepton Mass Matrices and a Discrete Symmetry Z_3
• Generalized $\mu -\tau$ reflection symmetry and leptonic CP violation
• mu-tau Interchange symmetry and lepton mixing
• Generalized $\mu$-$\tau$ symmetry and discrete subgroups of O(3)
• SO(10) GUT and Quark-Lepton Mass Matrices
• 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
• Complete Parameter Space of Quark Mass Matrices with Four Texture Zeros
• 'Mu-Tau' symmetry, tribimaximal mixing and four zero neutrino Yukawa textures
• Fermion Masses and Mixings in a $\mu$-$\tau$ symmetric SO(10)
• Lepton Mass Matrices with Four Texture Zeros
• Universal 2-3 symmetry
• A Generic Diagonalization of the 3X3 Neutrino Mass Matrix and Its Implications on the mu-tau Flavor Symmetry and Maximal CP Violation
• Implications of the Quark Mass Hierarchy on Flavor Mixings
• On the four-zero texture of quark mass matrices and its stability
• Maximal CP Violation Hypothesis and Phase Convention of the CKM Matrix
• Neutrino mass ordering and μ-τreflection symmetry breaking
• Complex CKM matrix, spontaneous CP violation and generalized $\mu$-$\tau$ 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
• Constraints on the parameters of the CKM matrix by End 1998

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• Minimizing the phase structure of quark mass matrices
• Flavor Imprints on Novel Low Mass Dark Matter
• Conditions of naturalness and fine-tunings for type-I seesaw mechanism with four-zero texture
• Fate of ${\theta }_{12}$ under $\mu -\tau$ Reflection Symmetry in Light of the First JUNO Results
• A general formula by $LD{L}^T$ decomposition for the type-I seesaw mechanism