Nonzero ${\theta }_{13}$ and Neutrino Masses from Modified Neutrino Mixing Matrix

Abstract

The nonzero and relatively large ${\theta }_{13}$ have been reported by Daya Bay, T2K, MINOS, and Double Chooz Collaborations. In order to accommodate the nonzero ${\theta }_{13}$, we modified the tribimaximal (TB), bimaxima (BM), and democratic (DC) neutrino mixing matrices. From three modified neutrino mixing matrices, two of them (the modified BM and DC mixing matrices) can give nonzero ${\theta }_{13}$ which is compatible with the result of the Daya Bay and T2K experiments. The modified TB neutrino mixing matrix predicts the value of ${\theta }_{13}$ greater than the upper bound value of the latest experimental results. By using the modified neutrino mixing matrices and impose an additional assumption that neutrino mass matrices have two zeros texture, we then obtain the neutrino mass in normal hierarchy when $(M_{\nu }{)}_{22}=(M_{\nu }{)}_{33}=0$ for the neutrino mass matrix from the modified TB neutrino mixing matrix and $(M_{\nu }{)}_{11}=(M_{\nu }{)}_{13}=0$ for the neutrino mass matrix from the modified DC neutrino mixing matrix. For these two patterns of neutrino mass matrices, either the atmospheric mass squared difference or the solar mass squared difference can be obtained, but not both of them simultaneously. From four patterns of two zeros texture to be considered on the obtained neutrino mass matrix from the modified BM neutrino mixing matrix, none of them can predict correctly neutrino mass spectrum (normal or inverted hierarchy).

13 pages, no figure, some references added, and slight revision due to reviewer(s) comments, to be published in IJMPA

References in corpus (13)

• Observation of electron-antineutrino disappearance at Daya Bay
• Indication of Electron Neutrino Appearance from an Accelerator-produced Off-axis Muon Neutrino Beam
• Discrete Flavour Symmetries in Light of T2K
• The reactor mixing angle and CP violation with two texture zeros in the light of T2K
• A4 models of tri-bimaximal-reactor mixing
• Implications of a class of neutrino mass matrices with texture zeros for non-zero ${\theta }_{13}$
• Getting at large theta_13 with almost maximal theta_23 from tri-bimaximal mixing
• Quark-lepton complementarity and tribimaximal neutrino mixing from discrete symmetry
• Neutrino mixing matrices with relatively large ${\theta }_{13}$ and with texture one-zero
• Nonzero Theta13 for Neutrino Mixing in a Supersymmetric B-L Gauge Model with T_7 Lepton Flavor Symmetry
• Non-zero ${\theta }_{13}$ and CP-violation in inverse neutrino mass matrix
• Relatively Large Theta13 from Modification to the Tri-bimaximal, Bimaximal and Democratic Neutrino Mixing Matrices
• Large θ_13 from finite quantum corrections in quasi-degenerate neutrino mass spectrum

Cited by in corpus (4)

• θ_{13} and Proton Decay in a Minimal SO(10) x S_4 model of Flavor
• Scaling ansatz, four zero Yukawa textures and large ${\theta }_{13}$
• Is θ_{13}^{PMNS} correlated with θ_{23}^{PMNS} or not?
• Nonzero ${\theta }_{13}$, CP Violation, and $\mu -\tau$ Symmetry