Minimal Modification to Tri-bimaximal Mixing

Details Minimal Modification to Tri-bimaximal Mixing Minimal Modification to Tri-bimaximal Mixing

2011-06-22

arxiv.org/abs/1106.4359v4

Physics

High Energy Physics

High Energy Physics - Phenomenology

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

Scientific paper

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.

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