Minimal Modification to Tri-bimaximal Mixing

Abstract

We explore some ways of minimally modifying the neutrino mixing matrix from tribimaximal, characterized by introducing at most one mixing angle and a CP violating phase thus extending our earlier work. One minimal modification, motivated to some extent by group theoretic considerations, is a simple case with the elements $V_{\alpha 2}$ of the second column in the mixing matrix equal to $1/\sqrt{3}$. Modifications by keeping one of the columns or one of the rows unchanged from tri-bimaximal mixing all belong to the class of minimal modification. Some of the cases have interesting experimentally testable consequences. In particular, the T2K and MINOS collaborations have recently reported indications of a non-zero ${\theta }_{13}$. For the cases we consider, the new data sharply constrain the CP violating phase angle $\delta$, with $\delta$ close to 0 (in some cases) and $\pi$ disfavored.

Latex 21 pages with 9 figures. Updated analysis with new combined data

References in corpus (15)

• Indication of Electron Neutrino Appearance from an Accelerator-produced Off-axis Muon Neutrino Beam
• Measurement of the solar neutrino capture rate with gallium metal. III: Results for the 2002--2007 data-taking period
• Possible Alternatives to Tri-bimaximal Mixing
• Comparing Trimaximal Mixing and Its Variants with Deviations from Tri-bimaximal Mixing
• Minimal Modification To The Tri-bimaximal Neutrino Mixing
• Parametrizing the lepton mixing matrix in terms of deviations from tri-bimaximal mixing
• Nonzero theta(13) for neutrino mixing in the context of A(4) symmetry
• TriMinimal Parametrization of the Neutrino Mixing Matrix
• Connecting Leptogenesis to CP Violation in Neutrino Mixings in a Tri-bimaximal Mixing model
• A new relation between quark and lepton mixing matrices
• Triminimal Parametrization of Quark Mixing Matrix
• Unified triminimal parametrizations of quark and lepton mixing matrices
• A schematic model of neutrinos
• Knitting neutrino mass textures with or without Tri-Bi maximal mixing
• Deviations of the Lepton Mapping Matrix from the Harrison-Perkins-Scott Form

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