Parameter Degeneracy in Flavor-Dependent Reconstruction of Supernova Neutrino Fluxes

Abstract

We reexamine the possibility of reconstructing the initial fluxes of supernova neutrinos emitted in a future core-collapse galactic supernova explosion and detected in a Megaton-sized water Cherenkov detector. A novel key element in our method is the inclusion, in addition to the total and the average energies of each neutrino species, of a "pinching" parameter characterizing the width of the distribution as a fit parameter. We uncover in this case a continuous degeneracy in the reconstructed parameters of supernova neutrino fluxes at the neutrinosphere. We analyze in detail the features of this degeneracy and show how it occurs irrespective of the parametrization used for the distribution function. Given that this degeneracy is real we briefly comment on possible steps towards resolving it, which necessarily requires going beyond the setting presented here.

28 pages, 37 figures, version with some improvements in the text and some new references, conclusions unchanged, to appear in JCAP

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Cited by in corpus (7)

• The Progenitor Dependence of the Preexplosion Neutrino Emission in Core-Collapse Supernovae
• Supernova neutrino signals based on long-term axisymmetric simulations
• Measuring the neutron star compactness and binding energy with supernova neutrinos
• Impact of cross-section uncertainties on supernova neutrino spectral parameter fitting in the Deep Underground Neutrino Experiment
• Supernova Neutrinos as a Precise Probe of Nuclear Neutron Skin
• Sensitivity to Supernovae Average ${\nu }_x$ Temperature with Neutral Current Interactions in DUNE
• Supernova electron-neutrino interactions with xenon in the nEXO detector