Multiband gravitational wave observations of stellar binary black holes at the low to middle and high frequencies

The ground-based gravitational wave (GW) observatories discover a population of merging stellar binary black holes (BBHs), which are promising targets for multiband observations by the low-, middle-, and high-frequency GW detectors. In this paper, we investigate detections BBHs demonstrate advantages such in improving localization parameter estimates sources. We generate mock samples considering different formation models as well merger rate density constrained current (GWTC-3). specifically consider astrodynamical middle-frequency interferometer observatory (AMIGO) band estimate that it may detect $21$-$91$ with signal-to-noise ratio $\varrho\geq8$ $4$-yr observation period. low-frequency detectors [Laser Interferometer Space Antenna (LISA) Taiji] AMIGO $5$-$33$ $\varrho_{\rm LT}\geq5$ AMI}\geq5$, can evolve to within $4$ yr be detected Cosmic Explorer (CE) Einstein Telescope (ET). joint LISA-Taiji-AMIGO-ET-CE localize majority detectable sky areas $7\times10^{-7}$ $2\times10^{-3}$ deg$^2$, is improved factor $\sim120$, $\sim2.4\times10^{5}$, $\sim1.8\times10^{4}$, or $\sim1.2\times10^{4}$, comparing those only adopting CE-ET, AMIGO, LISA-Taiji, LISA-Taiji-AMIGO. These also lead an improvement measurement precision chirp mass (symmetric ratio) $\sim5.5\times10^{4}$ ($33$), $\sim16$ ($8$), $\sim120$ ($90$), $\sim5$ ($5$),