dorsal/arxiv
View SchemaNeutrino oscillations: measuring $\theta_{13}$ including its sign
| Authors | D. C. Latimer, D. J. Ernst |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/0410088 |
| URL | https://arxiv.org/abs/nucl-th/0410088 |
| DOI | 10.1103/PhysRevC.71.062501 |
| Journal | Phys.Rev.C71:062501,2005 |
Abstract
In neutrino phenomenology, terms in the oscillation probabilities linear in $\sin \theta_{13}$ lead naturally to the question ``How can one measure $\theta_{13}$ including its sign?'' Here we demonstrate analytically and with a simulation of neutrino data that ${\mathcal P}_{e\mu}$ and ${\mathcal {P}_{\mu\mu}$ at $L/E = 2\pi/\Delta_{21}$ exhibit significant linear dependence on $\theta_{13}$ in the limit of vacuum oscillations. Measurements at this particular value of $L/E$ can thus determine not only $\theta_{13}$ but also its sign, if CP violation is small.
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"abstract": "In neutrino phenomenology, terms in the oscillation probabilities linear in\n$\\sin \\theta_{13}$ lead naturally to the question ``How can one measure\n$\\theta_{13}$ including its sign?\u0027\u0027 Here we demonstrate analytically and with a\nsimulation of neutrino data that ${\\mathcal P}_{e\\mu}$ and ${\\mathcal\n{P}_{\\mu\\mu}$ at $L/E = 2\\pi/\\Delta_{21}$ exhibit significant linear dependence\non $\\theta_{13}$ in the limit of vacuum oscillations. Measurements at this\nparticular value of $L/E$ can thus determine not only $\\theta_{13}$ but also\nits sign, if CP violation is small.",
"arxiv_id": "nucl-th/0410088",
"authors": [
"D. C. Latimer",
"D. J. Ernst"
],
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"doi": "10.1103/PhysRevC.71.062501",
"journal_ref": "Phys.Rev.C71:062501,2005",
"title": "Neutrino oscillations: measuring $\\theta_{13}$ including its sign",
"url": "https://arxiv.org/abs/nucl-th/0410088"
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