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- W2011051619 abstract "Is the relatively isolated member of the neutrino mass spectrum heavier or lighter than the two closely-spaced members? This question---the character of the neutrino mass hierarchy---is of great theoretical interest. All previously identified experiments for addressing it via neutrino oscillations require that the currently unknown size of the ${U}_{e3}$ element of the leptonic mixing matrix (parameterized by the unknown ${ensuremath{theta}}_{13}$ mixing angle) be sufficiently large, and will utterly fail in the limit ${ensuremath{theta}}_{13}ensuremath{rightarrow}0$. For this reason, we explore alternative oscillation approaches that would still succeed even if ${ensuremath{theta}}_{13}$ vanishes. We identify several alternatives that require neither a nonzero $|{U}_{e3}|$ nor the presence of significant matter effects (even if the latter are unavoidable in the case of long-baseline, Earth-based experiments). All include multiple percent-level neutrino oscillation measurements, usually involving muon-neutrino (or antineutrino) disappearance and very long baselines. We comment on the degree of promise that these alternative approaches show." @default.
- W2011051619 created "2016-06-24" @default.
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- W2011051619 date "2005-06-24" @default.
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- W2011051619 title "Neutrino mass hierarchy, vacuum oscillations, and vanishing<mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML display=inline><mml:mo stretchy=false>|</mml:mo><mml:msub><mml:mi>U</mml:mi><mml:mrow><mml:mi>e</mml:mi><mml:mn>3</mml:mn></mml:mrow></mml:msub><mml:mo stretchy=false>|</mml:mo></mml:math>" @default.
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- W2011051619 doi "https://doi.org/10.1103/physrevd.71.113009" @default.
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