Ultra-high-energy event KM3-230213A constraints on Lorentz Invariance Violation in neutrino sector

Abstract

We discuss the constraints on superluminal neutrino Lorentz Invariance Violation (LIV) parameters from the observation of the ultra-high-energy event KM3-230213A by KM3NeT collaboration in cases of linear $n=1$ and quadratic $n=2$ LIV scenarios. Assuming extragalactic origin of the event, we obtain the constraints on LIV mass scale ${\Lambda }_{n=1}=1.1\times 10^{30}\text{mbox}GeV$ and ${\Lambda }_{n=2}=1.1\times 10^{19}\text{mbox}GeV$ from the absence of neutrino splitting.

Comments: 3 pages, v3: errorbars included, typos corrected