Correlations and Distinguishability Challenges in Supernova Models: Insights from Future Neutrino Detectors

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This paper explores core-collapse supernovae as crucial targets for neutrino telescopes, addressing uncertainties in their simulation results.

• We comprehensively analyze eighteen modern simulations and discriminate among supernova models using realistic detectors and interactions.
• A significant correlation between the total neutrino energy and cumulative counts, driven by massive lepton neutrinos and oscillations, is identified, particularly noticeable with the DUNE detector.
• Bayesian techniques indicate strong potential for model differentiation during a Galactic supernova event, with HK excelling in distinguishing models based on equation of state, progenitor mass, and mixing scheme.