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The search for multi-messenger signals of binary black hole (BBH) mergers iscrucial to understanding the merger process of BBH and the relativeastrophysical environment. Considering BBH mergers occurring in the activegalactic nuclei (AGN) accretion disks, we focus on the accompanying high-energyneutrino production from the interaction between the jet launched by thepost-merger remnant BH and disk materials. Particles can be accelerated by theshocks generated from the jet-disk interaction and subsequently interact withthe disk gas and radiations to produce high-energy neutrinos through hadronicprocesses. We demonstrate that the identification of the high-energy neutrinosignal from BBH merger in AGN disks is feasible. In addition, the joint BBHgravitational wave (GW) and neutrino detection rate is derived, which can beused to constrain the BBH merger rate and the accretion rate of the remnant BHbased on the future associated detections of GWs and neutrinos. To date, anupper limit of BBH merger rate density in AGN disks of $R_0 \lesssim 3\,\rmGpc^{-3} yr^{-1}$ is derived for the fiducial parameter values based on thecurrent null association of GWs and neutrinos.

High-energy Neutrino Emission Associated with GWs from Binary Black Hole Mergers in AGN Accretion Discs