Sensitivity to ${\theta }_{13}$ and $\delta$ 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 ${\varphi }_{{\nu }_e}:{\varphi }_{{\nu }_{\mu }}:{\varphi }_{{\nu }_{\tau }}=1:1:1$ expected from oscillations alone. Here we show that the deviations are significantly larger when the mixing angle ${\theta }_{13}$ and the CP phase $\delta$ are allowed to be nonzero. If neutrinos decay, this could allow measurement of ${\theta }_{13}$ and $\delta$ in IceCube and other near-term neutrino telescopes.