Lorentz symmetry and high-energy neutrino astronomy
Carlos A. Arg\"uelles, Teppei Katori

TL;DR
This paper reviews how high-energy astrophysical neutrinos can be used to detect potential violations of Lorentz symmetry, leveraging their high energy, long travel distances, and quantum interference effects.
Contribution
It summarizes current methods and results in testing Lorentz violation using atmospheric and astrophysical neutrino data.
Findings
Neutrinos provide a sensitive probe for Lorentz violation.
Existing searches have placed constraints on LV parameters.
High-energy neutrino observations are promising for future LV tests.
Abstract
The search of violation of Lorentz symmetry, or Lorentz violation (LV), is an active research field. The effects of LV are expected to be very small and special systems are often used to search it. High-energy astrophysical neutrinos offer a unique system to search signatures of LV due to the three factors: high neutrino energy, long propagation distance, and the presence of quantum mechanical interference. In this brief review, we introduce tests of LV and summarize existing searches of LV using atmospheric and astrophysical neutrinos.
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