  The leptonic mixing parameters of high precision and the next-generation
neutrino telescopes make it possible to test new physics in the flavor
transition of the high-energy astrophysical neutrinos(HAN). We introduce a
nonsymmetric matrix to modify the predictions of the standard flavor transition
matrix. It is constructed with the mixing matrix in vacuum and that at the
source of the HAN. The mismatch of the mixing matrices results in the new
expectation of the flavor ratio of the HAN at Earth. It also leads to a
secondary effect called the apparent P violation (APV). The quantitative
analyses of the new effects are performed with a moderate setup of the
parameters at the source of the HAN. The correlations between the mixing
parameters and the new predictions are shown. From the correlations, the
dominant parameters determining the new-physics effects are identified.
