Probing the neutrino mass hierarchy with the rise time of a supernova burst

摘要: The rise time of a Galactic supernova (SN) ${\overline{\ensuremath{\nu}}}_{e}$ light curve, observable at high-statistics experiment such as the Icecube Cherenkov detector, can provide diagnostic tool for neutrino mass hierarchy ``large'' 1--3 leptonic mixing angle ${\ensuremath{\vartheta}}_{13}$. Thanks to combination matter suppression collective effects early post-bounce times on one hand and presence ordinary Mikheyev-Smirnov-Wolfenstein effect in outer layers SN other hand, sufficiently fast $\mathcal{O}(100)\text{ }\text{ }\mathrm{ms}$ scale is indicative an inverted hierarchy. We investigate results from extensive set stellar core-collapse simulations, providing first exploration astrophysical robustness these features. find that all models analyzed (sharing same weak interaction microphysics) are similar not only qualitatively, but also quantitatively, with signals two classes hierarchies significantly separated. show via Monte Carlo simulations cases should be distinguishable IceCube SNe typical distance 99% time. Finally, preliminary survey seems faster compared normal qualitatively robust feature predicted by several simulation groups. Since viability this signature ultimately depends quantitative assessment theoretical/numerical uncertainties, our motivate campaign comparison different code predictions accretion implementation microphysics comparable sophistication, including nucleon recoils interactions.