Physical region for three-neutrino mixing angles

Details Physical region for three-neutrino mixing angles Physical region for three-neutrino mixing angles

2004-05-26

arxiv.org/abs/nucl-th/0405073v2

Phys.Rev. D71 (2005) 017301

Physics

Nuclear Physics

Nuclear Theory

4 pages

Scientific paper

10.1103/PhysRevD.71.017301

We derive a set of symmetry relations for the three-neutrino mixing angles, including the MSW matter effect. Though interesting in their own right, these relations are used to choose the physical region of the mixing angles such that oscillations are parameterized completely and uniquely. We propose that the preferred way of setting the bounds on the mixing angles should be $\theta_{12} \in [0,\pi/2]$, $\theta_{13} \in [-\pi/2,\pi/2]$, $\theta_{23}\in [0,\pi/2]$, and $\delta \in [0,\pi)$. No CP violation then results simply from setting $\delta=0$. In the presence of the MSW effect, this choice of bounds is a new result. Since the size of the asymmetry about $\theta_{13} = 0$ is dependent on the details of the data analysis and is a part of the results of the analysis, we argue that the negative values of $\theta_{13}$ should not be ignored.

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