dorsal/arxiv
View SchemaOn the degeneracies of the mass-squared differences for three-neutrino oscillations
| Authors | D. C. Latimer, D. J. Ernst |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/0407071 |
| URL | https://arxiv.org/abs/nucl-th/0407071 |
| DOI | 10.1142/S0217732305017937 |
| Journal | Mod.Phys.Lett. A20 (2005) 1663-1672 |
Abstract
Using an algebraic formulation, we explore two well-known degeneracies involving the mass-squared differences for three-neutrino oscillations assuming CP symmetry is conserved. For vacuum oscillation, we derive the expression for the mixing angles that permit invariance under the interchange of two mass-squared differences. This symmetry is most easily expressed in terms of an ascending mass order. This can be used to reduce the parameter space by one half in the absence of the MSW effect. For oscillations in matter, we derive within our formalism the known approximate degeneracy between the standard and inverted mass hierarchies in the limit of vanishing $\theta_{13}$. This is done with a mass ordering that permits the map $\Delta_{31} \mapsto -\Delta_{31}$. Our techniques allow us to translate mixing angles in this mass order convention into their values for the ascending order convention. Using this dictionary, we demonstrate that the vacuum symmetry and the approximate symmetry invoked for oscillations in matter are distinctly different.
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"abstract": "Using an algebraic formulation, we explore two well-known degeneracies\ninvolving the mass-squared differences for three-neutrino oscillations assuming\nCP symmetry is conserved. For vacuum oscillation, we derive the expression for\nthe mixing angles that permit invariance under the interchange of two\nmass-squared differences. This symmetry is most easily expressed in terms of an\nascending mass order. This can be used to reduce the parameter space by one\nhalf in the absence of the MSW effect. For oscillations in matter, we derive\nwithin our formalism the known approximate degeneracy between the standard and\ninverted mass hierarchies in the limit of vanishing $\\theta_{13}$. This is done\nwith a mass ordering that permits the map $\\Delta_{31} \\mapsto -\\Delta_{31}$.\nOur techniques allow us to translate mixing angles in this mass order\nconvention into their values for the ascending order convention. Using this\ndictionary, we demonstrate that the vacuum symmetry and the approximate\nsymmetry invoked for oscillations in matter are distinctly different.",
"arxiv_id": "nucl-th/0407071",
"authors": [
"D. C. Latimer",
"D. J. Ernst"
],
"categories": [
"nucl-th"
],
"doi": "10.1142/S0217732305017937",
"journal_ref": "Mod.Phys.Lett. A20 (2005) 1663-1672",
"title": "On the degeneracies of the mass-squared differences for three-neutrino oscillations",
"url": "https://arxiv.org/abs/nucl-th/0407071"
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