Probing Lorentz Invariance Violation in Cosmogenic Neutrino Propagation with KM3-230213A
Abstract
We investigate superluminal Lorentz invariance violation (LIV) in the neutrino sector using cosmogenic neutrino fluxes generated with ultrahigh-energy cosmic-ray propagation models. Standard fluxes are calculated with \texttt{CRPropa 3.2} and subsequently modified using a prescription based on LIV-induced neutrino splitting. Superluminal LIV suppresses the flux at the highest energies while producing an enhancement at PeV - EeV energies. We use the KM3-230213A event as a benchmark to evaluate the sensitivity of current observations to these spectral modifications. Although the available statistics do not allow a formal constraint, the predicted fluxes are particularly sensitive to coefficients in the range 10−24 eV−1 ≲ δν,1 ≲ 10−22 eV−1, with the results strongly depending on the assumed cosmic-ray source properties. Intermediate coefficients can enhance the expected event rate within the reconstructed energy range of KM3-230213A, whereas larger coefficients may overproduce neutrinos in energy intervals constrained by IceCube and the Pierre Auger Observatory. These results identify a region of observational sensitivity to LIV and provide testable predictions for future neutrino telescopes.
Versions
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BibTeX
@misc{sasse2026probing,
title = {{Probing Lorentz Invariance Violation in Cosmogenic Neutrino Propagation with KM3-230213A}},
author = {Rodrigo Sasse and Rodrigo Guedes Lang and Rita de Cássia dos Anjos},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.12120},
eprint = {2609.12120},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.12120},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Probing Lorentz Invariance Violation in Cosmogenic Neutrino Propagation with KM3-230213A
AU - Rodrigo Sasse
AU - Rodrigo Guedes Lang
AU - Rita de Cássia dos Anjos
PY - 2026
DA - 2026/09/10
PB - arXiv
DO - 10.48550/arxiv.2609.12120
UR - https://arxiv.org/abs/2609.12120
AB - We investigate superluminal Lorentz invariance violation (LIV) in the neutrino sector using cosmogenic neutrino fluxes generated with ultrahigh-energy cosmic-ray propagation models. Standard fluxes are calculated with \texttt{CRPropa 3.2} and subsequently modified using a prescription based on LIV-induced neutrino splitting. Superluminal LIV suppresses the flux at the highest energies while producing an enhancement at PeV - EeV energies. We use the KM3-230213A event as a benchmark to evaluate the sensitivity of current observations to these spectral modifications. Although the available statistics do not allow a formal constraint, the predicted fluxes are particularly sensitive to coefficients in the range 10^−24 eV^−1 ≲ δ_ν,1 ≲ 10^−22 eV^−1, with the results strongly depending on the assumed cosmic-ray source properties. Intermediate coefficients can enhance the expected event rate within the reconstructed energy range of KM3-230213A, whereas larger coefficients may overproduce neutrinos in energy intervals constrained by IceCube and the Pierre Auger Observatory. These results identify a region of observational sensitivity to LIV and provide testable predictions for future neutrino telescopes.
ER -