Unitarity constraints on trimaximal mixing

Details Unitarity constraints on trimaximal mixing Unitarity constraints on trimaximal mixing

2010-07-06

arxiv.org/abs/1007.0808v1

Physics

High Energy Physics

High Energy Physics - Phenomenology

15 pages, 10 figures, Physical Review D (to appear)

Scientific paper

When the neutrino mass eigenstate $\nu_2$ is trimaximally mixed, the mixing matrix is called trimaximal. The middle column of trimaximal mixing matrix is identical to tri-bimaximal mixing and the other two columns are subject to unitarity constraints. This corresponds to a mixing matrix with four independent parameters in the most general case. Apart from the two Majorana phases, the mixing matrix has only one free parameter in the CP conserving limit. Trimaximality results into interesting interplay between mixing angles and CP violation. A notion of maximal CP violation naturally emerges here: CP violation is maximal for maximal 2-3 mixing. Similarly, there is a natural constraint on the deviation from maximal 2-3 mixing which takes its maximal value in the CP conserving limit.

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