Parameter distributions of binary black hole mergers near supermassive black holes as seen by advanced gravitational wave detectors

The environment surrounding supermassive black holes (SMBHs) in galactic nuclei (GNs) is expected to harbour stellar-mass binary hole (BBH) populations. These binaries were suggested form a hierarchical triple system with the SMBH, and gravitational perturbations from SMBH can enhance mergers of BBHs through Lidov-Kozai (LK) oscillations. Previous studies determined parameter distribution for this merger channel single GNs. Here we account different spatial mass models around SMBHs perform direct high-precision regularized N-body simulations, including Post-Newtonian (PN) terms up order PN2.5, model merging BBH populations We use full inspiral-merger-ringdown waveform nonzero eccentricities take into observational selection effect determine distributions LK-induced detected advanced gravitational-wave (GW) detector all GNs Universe. find that mergers' total tilted towards lower masses, ratio roughly uniform. redshift peaks between ~0.15-0.55, vast majority merge within ~1.1. fraction entering LIGO/Virgo/KAGRA band residual >0.1 below ~10%. identify negative correlation eccentricity parameters source distance. Our results correlations among may make it possible disentangle other channels statistically.