Parameter degeneracy and information loss in inverse flavor mapping for high-energy astrophysical neutrinos
The paper investigates mapping high-energy astrophysical neutrino source flavors ($\eta$) from observed telescope flavors ($f$). It finds that when the mixing matrix determinant approaches zero (related to $\mu-\tau$ symmetry), an unavoidable parameter degeneracy occurs. This means current data cannot uniquely determine individual source flavor ratios, though it yields specific linear correlations between certain observed components.