Effect of Resonant Neutrino Oscillation on TeV Neutrino Flavor Ratio from Choked GRBs

In the collapsar scenario of the long duration Gamma-Ray Bursts (GRBs), multi-TeV neutrino emission is predicted as the jet makes its way through the stellar envelope. Such a neutrino signal is also expected for more general ``failed'' GRBs in which a putative jet is ``choked'' by a heavy envelope. If the \nu_e \rightarrow \nu_\mu neutrino oscillation parameters are in the atmospheric neutrino oscillation range, we show that the resonant oscillation of \nu_e\leftrightarrow\nu_{\mu,\tau} can take place within the inner high density region of the choked jet progenitor with a heavy envelope, altering the neutrino flavor ratio on its surface to \Phi^s_{\nu_e}:\Phi^s_{\nu_\mu}:\Phi^s_{\nu_\tau}=5:11:2. Considering vacuum oscillation of these neutrinos on their way to Earth, the final flavor ratio detected on Earth is further modified to either $1:1.095:1.095$ for the large mixing angle solution to the solar neutrino data, or 1:1.3:1.3 for maximal mixing among the muon and tau neutrinos in vacuum.