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 $\Lambda_{n=1} = 1.1 \times 10^{30}\, \mbox{GeV}$ and $\Lambda_{n=2} = 1.1 \times 10^{19}\, \mbox{GeV}$ from the absence of neutrino splitting.