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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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Bibliographic Details
Published in:arXiv.org 2020-03
Main Authors: Mahony, Constance, Leistedt, Boris, Peiris, Hiranya V, Braden, Jonathan, Joachimi, Benjamin, Korn, Andreas, Cremonesi, Linda, Nichol, Ryan
Format: Article
Language:English
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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.
ISSN:2331-8422
DOI:10.48550/arxiv.1907.04331