Supernova 1987A did not test the neutrino mass hierarchy

Abstract

We dispel the misconception that data from SN 1987A favor the normal neutrino mass hierarchy over the inverted hierarchy for ${\sin }^2{\theta }_{13}\text{gsim}10^{-4}$. We find comparable fits for the two hierarchies. No bound can be placed on the mixing angle ${\theta }_{13}$ even at the 1$\sigma$ level.

Comments: 15 pages, 9 figures