Lorentz Invariance Violation and IceCube Neutrino Events

Understand

The IceCube neutrino spectrum shows a flux which falls of as $E^{-2}$ for sub PeV energies but there are no neutrino events observed above $\sim 3$ PeV.

• In particular the Glashow resonance expected at 6.3 PeV is not seen.
• We examine a Planck scale Lorentz violation as a mechanism for explaining the cutoff of observed neutrino energies around a few PeV.
• By choosing the one free parameter the cutoff in neutrino energy can be chosen to be between 2 and 6.3 PeV.