dorsal/arxiv
View SchemaPhysical region for three-neutrino mixing angles
| Authors | D. C. Latimer, D. J. Ernst |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/0405073 |
| URL | https://arxiv.org/abs/nucl-th/0405073 |
| DOI | 10.1103/PhysRevD.71.017301 |
| Journal | Phys.Rev. D71 (2005) 017301 |
Abstract
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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"abstract": "We derive a set of symmetry relations for the three-neutrino mixing angles,\nincluding the MSW matter effect. Though interesting in their own right, these\nrelations are used to choose the physical region of the mixing angles such that\noscillations are parameterized completely and uniquely. We propose that the\npreferred way of setting the bounds on the mixing angles should be $\\theta_{12}\n\\in [0,\\pi/2]$, $\\theta_{13} \\in [-\\pi/2,\\pi/2]$, $\\theta_{23}\\in [0,\\pi/2]$,\nand $\\delta \\in [0,\\pi)$. No CP violation then results simply from setting\n$\\delta=0$. In the presence of the MSW effect, this choice of bounds is a new\nresult. Since the size of the asymmetry about $\\theta_{13} = 0$ is dependent on\nthe details of the data analysis and is a part of the results of the analysis,\nwe argue that the negative values of $\\theta_{13}$ should not be ignored.",
"arxiv_id": "nucl-th/0405073",
"authors": [
"D. C. Latimer",
"D. J. Ernst"
],
"categories": [
"nucl-th"
],
"doi": "10.1103/PhysRevD.71.017301",
"journal_ref": "Phys.Rev. D71 (2005) 017301",
"title": "Physical region for three-neutrino mixing angles",
"url": "https://arxiv.org/abs/nucl-th/0405073"
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