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arXiv 1907.043312019-07astro-ph.COastro-ph.IMhep-ph

Target Neutrino Mass Precision for Determining the Neutrino Hierarchy

Constance Mahony, Boris Leistedt, Hiranya V. Peiris, Jonathan Braden, Benjamin Joachimi, Andreas Korn, Linda Cremonesi, Ryan Nichol

备注：: v3: Version accepted in Phys Rev D. Minor clarifications and added robustness tests, conclusions unchanged
发表信息：: Phys. Rev. D 101, 083513 (2020)
DOI：: 10.1103/PhysRevD.101.083513

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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 $Σ_ν$ measurement. We obtain a target precision of $σ(Σ_ν) = 0.014$ eV, necessary for conclusively establishing the normal hierarchy with future data.

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