发表机构
Universidade Estadual de Londrina (UEL); Friedrich-Alexander-Universität Erlangen-Nürnberg; Universidade Federal de São Carlos (UFSCar); Universidade Tecnológica Federal do Paraná; Universidade Federal do Espírito Santo; Universidade Federal da Integração Latino-Americana（隆德里纳州立大学; 埃尔朗根-纽伦堡弗里德里希·亚历山大大学; 圣卡洛斯联邦大学; 巴拉那联邦技术大学; 圣埃斯皮里图联邦大学; 拉丁美洲融合联邦大学）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本研究利用CRPropa 3.2模拟宇宙源中微子通量，结合KM3-230213A事件评估超光速洛伦兹不变性破缺的观测灵敏度，发现特定系数范围可增强事件率，为未来中微子望远镜提供可检验预测。
AI 中文摘要
我们利用超高能宇宙射线传播模型产生的宇宙源中微子通量，研究了中微子扇区中的超光速洛伦兹不变性破缺（LIV）。标准通量使用\texttt{CRPropa 3.2}计算，随后基于LIV引起的中微子分裂处方进行修正。超光速LIV抑制了最高能量处的通量，同时在PeV至EeV能量范围内产生增强。我们以KM3-230213A事件为基准，评估当前观测对这些光谱修正的灵敏度。尽管现有统计量不允许给出正式约束，但预测通量对$10^{-24} \mathrm{eV}^{-1} \lesssim \delta_{\nu,1} \lesssim 10^{-22}\\,\mathrm{eV}^{-1}$范围内的系数特别敏感，结果强烈依赖于假定的宇宙射线源性质。中等系数可以增强KM3-230213A重建能量范围内的预期事件率，而较大系数可能在IceCube和皮埃尔·奥格天文台约束的能量区间内过度产生中微子。这些结果确定了LIV的观测灵敏度区域，并为未来中微子望远镜提供了可检验的预测。
英文摘要
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 $10^{-24} \mathrm{eV}^{-1} \lesssim δ_{ν,1} \lesssim 10^{-22}\,\mathrm{eV}^{-1}$, 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.
Comments8 pages, 5 figures. Accepted for publication in Monthly Notices of the Royal Astronomical Society (MNRAS)
