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
2020 Physical Review D  
Recent works combining neutrino oscillation and cosmological data to determine the neutrino hierarchy found a range of odds in favor 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 σðΣ
more » ... t precision of σðΣ ν Þ ¼ 0.014 eV, necessary for conclusively establishing the normal hierarchy with future data.
doi:10.1103/physrevd.101.083513 fatcat:7zutysyaojhejoq7ixj2uv6b7a