Effect of Resonant Neutrino Oscillation on TeV Neutrino Flavor
  Ratio from Choked GRBs
<p> 
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 neutrino oscillation parameters are in the
atmospheric neutrino oscillation range, we show that the resonant
oscillation of \nu_e <--->\nu_{\mu,\tau} can take place within the inner
high density region of the choked jet progenitor with a heavy envelope,
altering the $\nu$ 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.
</p>