What can the forthcoming large neutrino detectors tell us about flavor transitions of galactic supernova neutrinos?

The prospect of detecting galactic supernova neutrinos is promising with forthcoming large neutrino detectors. Such detections provide a wealth of information on fundamental neutrino properties. Among these properties, the flavor transition mechanisms of supernova neutrinos during their propagation are of high interests. We present a method to verify Mikheyev-Smirnov-Wolfenstein effect during the propagation of SN neutrinos from the SN core to the Earth. The non-MSW scenario to be distinguished from the MSW one is the incoherent flavor transition probability for neutrino propagation in the vacuum. We present studies on the time evolution of neutrino event rates in liquid Argon, liquid scintillation and water Cherenkov detectors. Liquid Argon detector is sensitive to ν_e flux while liquid scintillation and water Cherenkov detectors can measure ν̄_e flux through inverse β decay process (IBD). Using currently available simulations for SN neutrino emissions, the time evolution of ν_eAr and ν̄_e IBD event rates and the corresponding cumulative event fractions are calculated up to t = 100 ms in DUNE, JUNO and Hyper-Kamiokande detectors, respectively. We demonstrate that the area under the cumulative time distribution curve from t = 0 to t = 100 ms in each detector and their ratio is useful for discriminating different flavor transition scenarios of SN neutrinos.