Association of 220 PeV Neutrino KM3-230213A with Gamma-Ray Bursts

Abstract Recently, the KM3NeT Collaboration announced the detection of a 220 PeV neutrino from the celestial coordinates R.A. = 94 <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" overflow="scroll"> <mml:mover accent="true"> <mml:mrow> <mml:mi>.</mml:mi> </mml:mrow> <mml:mrow> <mml:mi>°</mml:mi> </mml:mrow> </mml:mover> </mml:math> 3 and decl. = −7 <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" overflow="scroll"> <mml:mover accent="true"> <mml:mrow> <mml:mi>.</mml:mi> </mml:mrow> <mml:mrow> <mml:mi>°</mml:mi> </mml:mrow> </mml:mover> </mml:math> 8 on 2023 February 13 at 01:16:47 UTC. The source for this extra-ordinary cosmic neutrino, designated KM3-230213A, is not identified yet but there has been speculation that it might be associated with a gamma-ray burst GRB 090401B. The purpose of this report is to search the association of this 220 PeV neutrino with potential GRB sources from a more general consideration of Lorentz invariance violation (LV) without predefined LV scale. We try to associate this extra-ordinary neutrino with potential GRBs within angular separation of 1°, 3° and 5° respectively and the results are listed in Table 1. We find the constraints E LV ≤ 5.3 × 10 18 GeV for subluminal LV violation and E LV ≤ 5.6 × 10 19 GeV for superluminal LV violation if KM3-230213A is a GRB neutrino.