${\theta }_{13}$ in Neutrino Mass Matrix with the Minimal Texture

Abstract

We show that the neutrino mass matrix with the minimal texture leads to the neutrino mass and mixing that are empirically determined, including ${\theta }_{13}$ that is measured recently at a high precision. This mass matrix, where the Majorana nature of the neutrino is essential, only allows the normal hierarchy of the neutrino mass, excluding either inverse mass hierarchy or degenerate mass neutrinos, and hence predicts the effective mass of double beta decay to lie within the range $m_{ee}=3.7-5.6$ eV.

9 pages, 9 figures, figures are revised

References in corpus (8)

• Observation of electron-antineutrino disappearance at Daya Bay
• Indication of Electron Neutrino Appearance from an Accelerator-produced Off-axis Muon Neutrino Beam
• Indication for the disappearance of reactor electron antineutrinos in the Double Chooz experiment
• Improved search for muon-neutrino to electron-neutrino oscillations in MINOS
• Implications of the Daya Bay observation of θ_{13} on the leptonic flavor mixing structure and CP violation
• S3 as a flavour symmetry for quarks and leptons after the Daya Bay result on θ13
• Predicting leptonic CP violation in the light of Daya Bay result
• Lepton Mixing and the Neutrino Mixing Angle theta_13

Cited by in corpus (17)

• Flavor structures of charged fermions and massive neutrinos
• Finite Symmetry of Leptonic Mass Matrices
• Revisiting the texture zero neutrino mass matrices
• An $S_3$ Model for Lepton Mass Matrices with Nearly Minimal Texture
• Mu-tau reflection symmetry with a texture-zero
• Bilarge Neutrino Mixing and Abelian Flavor Symmetry
• Neutrino Mixing Angles from Texture Zeros of the Lepton Mass Matrices
• Deviation from Tri-Bimaximal Mixing and Large Reactor Mixing Angle
• Neutrino 2012: Outlook - theory
• Lower bound on neutrino mass and possible CP violation in neutrino oscillations
• CP violating phase from minimal texture neutrino mass matrix: Test of the phase relevant to leptogenesis
• Lepton Flavor Mixing Pattern and Neutrino Mass Matrix after the Daya Bay Experiment
• Leptonic mixing angle ${\theta }_{13}$ and ruling out of minimal texture for Dirac neutrinos
• Generic lepton mass matrices and neutrino oscillations
• CP violation in modified bipair neutrino mixing and leptogenesis
• Implications of ${\delta }_l^{CP}\sim 270^{\circ }$ and ${\theta }_{23}\gtrsim 45^{\circ }$ for texture specific lepton mass matrices and $0\nu \beta \beta$ decay
• Double Froggatt--Nielsen Mechanism