Physics – Nuclear Physics – Nuclear Theory
Scientific paper
2004-02-04
Physics
Nuclear Physics
Nuclear Theory
3 pages
Scientific paper
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 $\delta$, the mixing angles $\theta_{jk}$ lie in the range [0,$\pi$/2], and $\delta$ lies within [0,$2\pi$). If one restricts the CP phase $\delta \in [0,\pi)$, then one must extend the range of either $\theta_{12}$ {\it or} $\theta_{23}$ to $[0, \pi)$. In particular, for no CP violation, one can set $\delta=0$ {\it and} $\delta=\pi$ with $\theta_{jk}$ in the range [0,$\pi$/2]. Alternatively, one can set $\delta=0$ only, and allow either $\theta_{12}$ {\it or} $\theta_{23}$ to lie within [0,$\pi$).
Ernst David J.
Latimer David C.
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