Consistent Lorentz violation features from near-TeV IceCube 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 $E_{\mathrm{LV}}=(6.4\pm 1.5)\times 10^{17}\mathrm{GeV}$ and an intrinsic time difference $\Delta t_{\mathrm{in}}=(-2.8\pm 0.7)\times 10^2\mathrm{s}$, 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.

arXiv comment6 pages, 3 figures, final version for journal publication

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