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Target Neutrino Mass Precision for Determining the Neutrino Hierarchy
Recent works combining neutrino oscillation and cosmological data to determine the neutrino hierarchy found a range of odds in favour of the normal hierarchy. These results arise from differing approaches to incorporating prior knowledge about neutrinos. We develop a hierarchy-agnostic prior and sho...
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Published in: | arXiv.org 2020-03 |
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Main Authors: | , , , , , , , |
Format: | Article |
Language: | English |
Subjects: | |
Online Access: | Get full text |
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Summary: | Recent works combining neutrino oscillation and cosmological data to determine the neutrino hierarchy found a range of odds in favour of the normal hierarchy. These results arise from differing approaches to incorporating prior knowledge about neutrinos. We develop a hierarchy-agnostic prior and show that the hierarchy cannot be conclusively determined with current data. The determination of the hierarchy is limited by the neutrino mass scale \(\Sigma_{\nu}\) measurement. We obtain a target precision of \(\sigma(\Sigma_{\nu}) = 0.014\) eV, necessary for conclusively establishing the normal hierarchy with future data. |
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ISSN: | 2331-8422 |
DOI: | 10.48550/arxiv.1907.04331 |