Speaker
Description
We study Lorentz violation effects to flavor transitions of high energy
astrophysical neutrinos. It is shown that the appearance of Lorentz violating
Hamiltonian can drastically change the flavor transition probabilities of
astrophysical neutrinos. Predictions of Lorentz violation effects to flavor
compositions of astrophysical neutrinos arriving on Earth are compared with
IceCube flavor composition measurement which analyzes astrophysical neutrino
events in the energy range between $25~{\rm TeV}$ and $2.8~{\rm PeV}$. Such a
comparison indicates that the future IceCube-Gen2 will be able to place
stringent constraints on Lorentz violating Hamiltonian in the neutrino sector.
We work out these expected constraints for different flavor structures of
Lorentz violating Hamiltonian. In some cases these expected constraints can
improve upon the current constraints obtained from other types of experiments
by more than two orders of magnitudes.