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Observation of ultra-high energy astrophysical neutrinos and identificationof their flavors have been proposed for future neutrino telescopes. The flavorratio of astrophysical neutrinos observed on the Earth depends on both theinitial flavor ratio at the source and flavor transitions taking place duringpropagations of these neutrinos. The flavor transition mechanisms arewell-classified with our model-independent parametrization. We find a newparameter R={\phi}_e/({\phi}_{\mu} + {\phi}_{\tau}) can probe directly theflavor transition in the framework of our model-independent parametrization,without the assumption of the {\nu}_{\mu}-{\nu}_{\tau} symmetry. A few flavortransition models are employed to test our parametrization with this newobservable. The observational constraints on flavor transition mechanisms bythe new observable is discussed through our model-independent parametrization.

Probing Neutrino Flavor Transition Mechanism with Ultra High Energy Astrophysical Neutrinos