dorsal/arxiv
View SchemaBounds on the angles for the parameterization of three neutrino mixing
| Authors | D. C. Latimer, D. J. Ernst |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/0402019 |
| URL | https://arxiv.org/abs/nucl-th/0402019 |
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 $\delta$, 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,$\pi$).
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"abstract": "An algebraic approach is used to derive symmetry relations for the\nparameterization of the three neutrino mixing matrix. The symmetry relations\nimply bounds on the mixing angles. Including a CP violating phase $\\delta$, the\nmixing angles $\\theta_{jk}$ lie in the range [0,$\\pi$/2], and $\\delta$ lies\nwithin [0,$2\\pi$). If one restricts the CP phase $\\delta \\in [0,\\pi)$, then one\nmust extend the range of either $\\theta_{12}$ {\\it or} $\\theta_{23}$ to $[0,\n\\pi)$. In particular, for no CP violation, one can set $\\delta=0$ {\\it and}\n$\\delta=\\pi$ with $\\theta_{jk}$ in the range [0,$\\pi$/2]. Alternatively, one\ncan set $\\delta=0$ only, and allow either $\\theta_{12}$ {\\it or} $\\theta_{23}$\nto lie within [0,$\\pi$).",
"arxiv_id": "nucl-th/0402019",
"authors": [
"D. C. Latimer",
"D. J. Ernst"
],
"categories": [
"nucl-th"
],
"title": "Bounds on the angles for the parameterization of three neutrino mixing",
"url": "https://arxiv.org/abs/nucl-th/0402019"
},
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