Sensitivity to θ 13 and δ in the decaying astrophysical neutrino scenario

We have previously shown that the decay of high-energy neutrinos from distant astrophysical sources would be revealed by flavor ratios that deviate strongly from the ${\ensuremath{\varphi}}_{{\ensuremath{\nu}}_{e}}:{\ensuremath{\varphi}}_{{\ensuremath{\nu}}_{\ensuremath{\mu}}}:{\ensuremath{\varphi}}_{{\ensuremath{\nu}}_{\ensuremath{\tau}}}=1:1:1$ expected from oscillations alone. Here we show that the deviations are significantly larger when the mixing angle ${\ensuremath{\theta}}_{13}$ and the CP phase $\ensuremath{\delta}$ are allowed to be nonzero. If neutrinos decay, this could allow measurement of ${\ensuremath{\theta}}_{13}$ and $\ensuremath{\delta}$ in IceCube and other near-term neutrino telescopes.