The recent observation of high-energy astrophysical neutrinos can be used to constrain violations of Lorentz invariance emerging from a quantum theory of gravity. We perform threshold and Čerenkov analyses that improve existing bounds by factors ranging from about a million to $10^{20}$.

• Received 12 September 2013

DOI:https://doi.org/10.1103/PhysRevD.89.043005