Neutrino Emission from Gamma-ray Burst Jet inside the Cavity within Active Galactic Nucleus Accretion Disks

Active galactic nucleus (AGN) accretion disks are promising sites for compact binary mergers. Short gamma-ray burst (SGRB) jets from binary neutron star coalescence can propagate within low-density cavities carved by circumbinary outflows. We investigate the high-energy neutrino emission and detectability of such SGRB jets, adopting three seed photon components: prompt GRB emission, AGN disk thermal radiation, and external inverse Compton (EIC) scattered photons. Our results show that neutrino emission is dominated by proton-photon (pγ) interactions, with prompt GRB photons and AGN disk photons serving as the dominant target components. The inclusion of AGN disk photons significantly reshapes the neutrino spectrum, shifting the emission peak to lower energies. This effect becomes more pronounced as the mass of the central supermassive black hole decreases and the burst location approaches the black hole. For a fiducial model with a 10 6 M central black hole and the burst at 10 Schwarzschild radii, IceCube and IceCube-Gen2 achieve maximum luminosity distances of about 180 Mpc and about 400 Mpc, respectively. Next-generation high-sensitivity neutrino observatories, combined with multi-messenger observations, hold promise for identifying such GRBs in AGN environments.