Investigating the Neutrino Mass Ordering Problem via Ternary Plots

In this analysis of the Neutrino Mass Ordering problem, we use ternary plots to visualize the flavor composition of various supernova neutrino emission models from the SNEWPY software package. Through our analysis of several models, we have explored potential discriminants between the Normal and Inverted mass orderings in the ternary representations of the models' fluxes. We analyze the statistical significance of mass ordering discriminants through simulated detector responses.