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<p>Discovering Lorentz-invariance violation (LIV) would upend the foundations of modern physics. Because LIV effects grow with energy, high-energy astrophysical neutrinos provide the most sensitive tests of Lorentz invariance in the neutrino sector. We examine an understudied yet phenomenologically rich LIV signature: compass asymmetries, where neutrinos of different flavors propagate preferentially along different directions. Using the directional flavor composition of high-energy astrophysical neutrinos, i.e., the abundances of <i>ν</i><sub><i>e</i></sub>, <i>ν</i><sub><i>μ</i></sub>, and <i>ν</i><sub><i>τ</i></sub> across the sky, we find no evidence of LIV-induced flavor anisotropy in 7.5 years of IceCube High-Energy Starting Events. Thus, we place upper limits on the values of hundreds of LIV parameters with operator dimensions 2–8, tightening existing limits by orders of magnitude and bounding hundreds of parameters for the first time (<a href="https://github.com/BernieTelalovic/LIV_constraints_from_HESE_flavour_isotropy">https://github.com/BernieTelalovic/LIV_constraints_from_HESE_flavour_isotropy</a>).</p>

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No flavor anisotropy in the high-energy neutrino sky upholds Lorentz invariance

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2026年2月2日

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  • Bernanda Telalovic,
  • Mauricio Bustamante

摘要

Discovering Lorentz-invariance violation (LIV) would upend the foundations of modern physics. Because LIV effects grow with energy, high-energy astrophysical neutrinos provide the most sensitive tests of Lorentz invariance in the neutrino sector. We examine an understudied yet phenomenologically rich LIV signature: compass asymmetries, where neutrinos of different flavors propagate preferentially along different directions. Using the directional flavor composition of high-energy astrophysical neutrinos, i.e., the abundances of νe, νμ, and ντ across the sky, we find no evidence of LIV-induced flavor anisotropy in 7.5 years of IceCube High-Energy Starting Events. Thus, we place upper limits on the values of hundreds of LIV parameters with operator dimensions 2–8, tightening existing limits by orders of magnitude and bounding hundreds of parameters for the first time (https://github.com/BernieTelalovic/LIV_constraints_from_HESE_flavour_isotropy).