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 Σν measurement. We obtain a target precision of σ (Σν)=0.014 eV , necessary for conclusively establishing the normal hierarchy with future data.
Physical Review D
- Pub Date:
- April 2020
- Astrophysics - Cosmology and Nongalactic Astrophysics;
- Astrophysics - Instrumentation and Methods for Astrophysics;
- High Energy Physics - Phenomenology
- v3: Version accepted in Phys Rev D. Minor clarifications and added robustness tests, conclusions unchanged