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

This paper explores core-collapse supernovae as crucial targets for neutrinotelescopes, addressing uncertainties in their simulation results. Wecomprehensively analyze eighteen modern simulations and discriminate amongsupernova models using realistic detectors and interactions. A significantcorrelation between the total neutrino energy and cumulative counts, driven bymassive lepton neutrinos and oscillations, is identified, particularlynoticeable with the DUNE detector. Bayesian techniques indicate strongpotential for model differentiation during a Galactic supernova event, with HKexcelling in distinguishing models based on equation of state, progenitor mass,and mixing scheme.