Survey of Texture Zeros with Light Dirac Neutrinos

Abstract

We classify all possible texture zeros in light neutrino mass matrix in diagonal charged lepton basis by considering Dirac nature of light neutrinos. For Hermitian nature of neutrino mass matrix, the number of possible texture zeros remain same as Majorana texture zeros, but with less free parameters due to the absence of additional Majorana CP phases. Relaxing the Hermitian nature of neutrino mass matrix lead to many more possibilities and freedom due to additional CP phases, mixing angles not constrained by neutrino data. While we find that none of the texture zeros in Hermitian case are allowed, in non-Hermitian case some textures even with four zeros are allowed. While most of the one-zero, two-zero and three-zero textures in this case are allowed, four-zero textures are tightly constrained with only 6 allowed out of 126 possibilities. The allowed textures also give interesting correlations between light neutrino parameters with sharp distinctions between normal and inverted mass ordering. Many of these allowed textures also saturate the Planck 2018 upper bound on the sum of absolute neutrino masses.

arXiv comment30 pages, 5 figures

References in corpus (67)

• Search for Majorana Neutrinos near the Inverted Mass Hierarchy Region with KamLAND-Zen
• Global analysis of three-flavour neutrino oscillations: synergies and tensions in the determination of theta_23, delta_CP, and the mass ordering
• Status of neutrino oscillations 2018: first hint for normal mass ordering and improved CP sensitivity
• Theory of Neutrinos: A White Paper
• An improved upper limit on the neutrino mass from a direct kinematic method by KATRIN
• Constraint on the Matter-Antimatter Symmetry-Violating Phase in Neutrino Oscillations
• A discrete symmetry group for maximal atmospheric neutrino mixing
• Texture Zeros and Majorana Phases of the Neutrino Mass Matrix
• Dirac neutrino mass generation from dark matter
• Dirac neutrinos from a second Higgs doublet
• Pathways to Naturally Small Dirac Neutrino Masses
• Lepton mixing angle ${\theta }_{13}=0$ with a horizontal symmetry $D_4$
• Gauge $B-L$ Model with Residual $Z_3$ Symmetry
• A New Two Higgs Doublet Model
• Two-loop Dirac neutrino mass and WIMP dark matter
• Dirac Neutrinos and Dark Matter Stability from Lepton Quarticity
• Quaternion Family Symmetry of Quarks and Leptons
• Seesaw roadmap to neutrino mass and dark matter
• A complete survey of texture zeros in the lepton mass matrices
• Dirac neutrinos from flavor symmetry
• D4 Flavor Symmetry for Neutrino Masses and Mixing
• $A_4$ Flavour Model for Dirac Neutrinos: Type I and Inverse Seesaw
• A(4) Flavor Symmetry Model for Dirac-Neutrinos and Sizable U(e3)
• Two-zero Majorana textures in the light of the Planck results
• Linear Seesaw for Dirac Neutrinos with $A_4$ Flavour Symmetry
• Restoration of Parity and the Right-Handed Analog of the CKM Matrix
• Minimal Mass Matrices for Dirac Neutrinos
• LHC phenomenology of a two-Higgs-doublet neutrino mass model
• Radiative Left-Right Dirac Neutrino Mass
• Common Origin of Neutrino Mass, Dark Matter and Dirac Leptogenesis
• Naturally Light Dirac Neutrino in Left-Right Symmetric Model
• Realistic $\mathrm{SU}(3{)}_{\mathrm{c}}\otimes \mathrm{SU}(3{)}_{\mathrm{L}}\otimes \mathrm{U}(1{)}_{\mathrm{X}}$ model with a type II Dirac neutrino seesaw mechanism
• Naturally light neutrinos in $Diracon$ model
• Flavour-symmetric type-II Dirac neutrino seesaw mechanism
• Simplest Radiative Dirac Neutrino Mass Models
• Confronting predictive texture zeros in lepton mass matrices with current data
• Common Origin of Dirac Neutrino Mass and Freeze-in Massive Particle Dark Matter
• The minimal type-I seesaw model with maximally-restricted texture zeros
• Texture specific mass matrices with Dirac neutrinos and their implications
• Revisiting the texture zero neutrino mass matrices
• Light Sterile Neutrino and Dark Matter in Left-Right Symmetric Models Without Higgs Bidoublet
• Observable Lepton Number Violation with Predominantly Dirac Nature of Active Neutrinos
• Fitting flavour symmetries: the case of two-zero neutrino mass textures
• Observing Left-Right Symmetry in the Cosmic Microwave Background
• Dirac neutrino from the breaking of Peccei-Quinn symmetry
• Texture Zeros for Dirac Neutrinos and Current Experimental Tests
• Majorana neutrino mass matrices with three texture zeros and the sterile neutrino
• Dirac neutrino mass generation from Majorana messenger
• Discriminating Majorana Neutrino Textures in the light of Baryon Asymmetry
• Probing Majorana Neutrino Textures at DUNE
• Common origin of modified chaotic inflation, non thermal dark matter and Dirac neutrino mass
• Hybrid Textures of Neutrino Mass Matrix under the Lamppost of Latest Neutrino and Cosmology Data
• Compatibility of $A_4$ Flavour Symmetric Minimal Extended Seesaw with $(3+1)$ Neutrino Data
• Analysis of four-zero textures in $3+1$ framework
• Implication of a vanishing element in 3+1 Scenario
• Leptogenesis with testable Dirac neutrino mass generation
• Texture zeros of low-energy Majorana neutrino mass matrix in 3+1 scheme
• General lepton textures and their implications
• Lower bound on neutrino mass and possible CP violation in neutrino oscillations
• Phenomenology of two texture zero neutrino mass in left-right symmetric model with $Z_8\times Z_2$
• Texture One Zero Dirac Neutrino Mass Matrix With Vanishing Determinant or Trace Condition
• Deconstruction and Bilarge Neutrino Mixing
• Five Texture Zeros for Dirac Neutrino Mass Matrices
• Phenomenological Study of Texture Zeros in Lepton Mass Matrices of Minimal Left-Right Symmetric Model
• Dirac neutrinos in a $SU(2)$ left-right symmetric model
• Leptonic mixing angle ${\theta }_{13}$ and ruling out of minimal texture for Dirac neutrinos
• Revisiting Majorana Neutrino Textures in the Light of Dark LMA

Cited by in corpus (9)

• The $\mu$-$\tau$ mixed symmetry and neutrino mass matrix
• Dark Matter and $(g-2{)}_{\mu ,e}$ in radiative Dirac neutrino mass models
• Collider and CMB complementarity of leptophilic dark matter with light Dirac neutrinos
• Revisiting the Dirac Nature of Neutrinos in the Light of $\Delta (27)$ and Cyclic Symmetries
• CDF-II W boson mass in the Dirac Scotogenic model
• Magic square and three-zero textures for Dirac neutrinos
• Is magic texture for Majorana neutrino immanent in Dirac nature?
• Two-zero textures for Dirac Neutrinos
• Minimal structure for neutrino mass matrix