# Consistent Lorentz violation features from near-TeV IceCube neutrinos

## TL;DR

This paper finds evidence of Lorentz violation in IceCube neutrino data associated with gamma-ray bursts, indicating new physics at a high energy scale and an earlier neutrino emission compared to photons.

## Contribution

It identifies a consistent Lorentz violation scale from neutrino-GRB correlations at different energies, suggesting CPT violation and earlier neutrino emission.

## Key findings

- Lorentz violation scale around 6.4×10^17 GeV
- Neutrinos emitted earlier than photons from GRBs
- Potential CPT violation in ultrahigh-energy neutrinos

## Abstract

A recent proposal to associate 60~TeV to 2~PeV IceCube neutrino events with gamma-ray bursts~(GRBs) indicates the Lorentz violation of cosmic neutrinos and leads further to the $CPT$ symmetry violation between neutrinos and antineutrinos. Here we find that another 12 northern hemisphere track events possibly correlated with GRBs from three-year IceCube data satisfy the same regularity at a lower energy scale around 1~TeV. The combined fitting indicates a Lorentz violation scale ${E}_{\rm LV}=(6.4\pm 1.5)\times10^{17}~{ \rm GeV}$ and an intrinsic time difference ${\Delta {t}_{\rm in}=(-2.8\pm 0.7)\times10^2~{\rm s}}$, from which we find an earlier emission of neutrinos than photons at the GRB source. We also suggest analyzing neutrino events detected a few minutes before the GRB trigger time to test the $CPT$ violation of ultrahigh-energy neutrinos.