Bounds on the angles for the parameterization of three neutrino mixing

2004/02/04 by D. C. Latimer, Latimer, D. C., D. J. Ernst +1
Physics and Astronomy · #FOS: Physical sciences #Nuclear Theory (nucl-th) #nucl-th

paper · pdf · doi:10.48550/arxiv.nucl-th/0402019

3 pages

arxiv created 2004/03/15 · arxiv updated 2009/12/01

Abstract

An algebraic approach is used to derive symmetry relations for the parameterization of the three neutrino mixing matrix. The symmetry relations imply bounds on the mixing angles. Including a CP violating phase δ, the mixing angles θ_jk lie in the range [0,π/2], and δ lies within [0,2π). If one restricts the CP phase δ∈ [0,π), then one must extend the range of either θ₁₂ \it or θ₂₃ to [0, π). In particular, for no CP violation, one can set δ=0 \it and δ=π with θ_jk in the range [0,π/2]. Alternatively, one can set δ=0 only, and allow either θ₁₂ \it or θ₂₃ to lie within [0,π).

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