Two simple textures of the magic neutrino mass matrix

Abstract

The Tri-Bimaximal (TBM) mixing predicts a vanishing ${\theta }_{13}$. This can be attributed to the inherited $\mu -\tau$ symmetry of TBM mixing. We break its $\mu -\tau$ symmetry by adding a complex magic matrix with one variable to TBM neutrino mass matrix with one vanishing eigenvalue. We present two such textures and study their phenomenological implications.

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
• Updated fit to three neutrino mixing: exploring the accelerator-reactor complementarity
• Determining the neutrino mass with Cyclotron Radiation Emission Spectroscopy - Project 8
• Parametrizing the lepton mixing matrix in terms of deviations from tri-bimaximal mixing
• Phenomenology of Two-Texture Zero Neutrino Mass Matrices
• Zero minors of the neutrino mass matrix
• Phenomenological Implications of a Class of Neutrino Mass Matrices
• Magic Neutrino Mass Matrix and the Bjorken-Harrison-Scott Parameterization
• Neutrino Mass Matrices with Two Equalities Between the Elements or Cofactors
• Parallel hybrid textures of lepton mass matrices
• Neutrino mass matrices with one texture equality and one vanishing neutrino mass
• Phenomenological implications of two simple modifications to Tri-Bimaximal mixing