Neutrino and electromagnetic signals from tidal disruption events: bridging the theory with observations

This proceeding presents recent results from a joint analysis of time-dependent neutrino and electromagnetic emissions from tidal disruption events (TDEs), using both isotropic wind models and relativistic jets. We discuss constraints from \textit{Fermi} Large Area Telescope (LAT) $\gamma$-ray upper limits on the size of the radiation zone and the maximum energies of accelerated cosmic rays, as well as the resulting neutrino emissions from neutrino-emitting TDEs, including AT 2019dsg, AT 2019fdr, AT 2019aalc, and AT 2021lwx. Additionally, we explore multi-wavelength modeling of jetted TDEs with luminous X-ray afterglows — another TDE subclass — by incorporating the dynamics of structured jets with time-dependent energy injection. We also examine the connection between neutrinos and their multi-wavelength counterparts, highlighting implications for future multi-messenger discoveries with IceCube, IceCube-Gen2, KM3NeT, and \textit{Fermi}-LAT.