Looking for the gamma-Ray cascades of the KM3-230213A neutrino source

Abstract The extreme energy of the KM3-230213A event could transform our understanding of the most energetic sources in the Universe. However, it also reveals an inconsistency between the KM3NeT detection and strong IceCube constraints on the ultra-high energy neutrino flux. The most congruous explanation for the KM3NeT and IceCube data requires KM3-230213A to be produced by a (potentially transient) source fortuitously located in a region where the KM3NeT acceptance is maximized. In hadronic models of ultra-high-energy neutrino production, such a source would also produce a bright γ-ray signal, which would cascade to GeV-TeV energies due to interactions with extragalactic background light. We utilize the γ-Cascade package to model the spectrum, spatial extension, and time-delay of such a source, and scan a region surrounding the KM3NeT event to search for a consistent γ-ray signal. We find no convincing evidence for a comparable Fermi -LAT source and place constraints on a combination of the source redshift and the intergalactic magnetic field strength between the source and Earth.