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Description
The recent IceCube detection of TeV neutrinos from the nearby Seyfert galaxy NGC~1068 suggests that active galactic nuclei (AGN) could make a significant contribution to the diffuse flux of astrophysical neutrinos.
The absence of TeV gamma-rays from NGC~1068 indicates neutrino production in
the vicinity of the supermassive black hole, such as disk-corona, where the high radiation density leads to efficient neutrino production and severe gamma-ray attenuation. Disk-corona models predict that the neutrino emission from AGNs correlates
with X-ray emission, which traces the coronal activity.
In this paper, we assess whether the X-ray AGN population origin for TeV neutrinos can be tested by using the spatial correlation between the neutrino population and X-ray AGN population with future neutrino telescopes.
By performing simulations, we find that, for $100-300$~TeV diffuse neutrino flux, the AGN origin can be tested at a confidence level of $\sim3\sigma$ with five-year observations of IceCube-Gen2, which has an angular resolution of $0.1-0.2$ degree. With better angular resolution and sensitivity in the 100-300 TeV energy range, a 30 ${\rm km^3}$ undersea
neutrino telescope (e.g., HUNT) is expected to reach a significance of $\sim5\sigma$ in testing the association after three years of exposure.