Astrophysical tau neutrino detection in kilometer-scale Cherenkov detectors via muonic tau decay

Kilometer-scale deep under-ice or -water Cherenkov neutrino detectors may detect muon and electron neutrinos from astrophysical sources at energies of a TeV and above. Tau neutrinos are also expected from these sources due to neutrino flavor oscillations in vacuum, and tau neutrinos are free of atmospheric background at a much lower energy than muon and electron neutrinos. Identification of tau neutrinos is expected to be possible above the PeV energy range through the "double bang" and "lollipop" signatures. We discuss another signature of tau in the PeV-EeV range, arising from the decay of tau leptons inside the detector to much brighter muons.