Probing intermediate-mass black hole binaries with the lunar gravitational-wave antenna

New Moon-based gravitational-wave (GW) detector concepts, such as the lunar gravitational-wave antenna (LGWA), aim to observe GWs from 1 millihertz (mHz) to a few hertz, with optimal sensitivity in the decihertz band. Binary systems containing at least one intermediate-mass black hole (IMBH) are widely believed to generate GWs spanning from mHz to a few Hz, making them a key scientific target for the LGWA. We explore the detectability of IMBH binaries with the LGWA in this work. Considering a signal-to-noise ratio threshold of 10, our results imply that the LGWA can detect IMBH binaries up to z O (10). We further show that the LGWA can constrain the primary mass with relative errors ≲ 0. 1% for binaries at z ≲ 0. 5. Furthermore, we show that the IMBH binaries at z ≲ 0. 1 can be used to constrain redshift with relative errors ≲ 10%, and those with m1 ∈ 104, 105 M⊙ can be localized by the LGWA to be within O (10) {deg}^2.