A higher probability of detecting lensed supermassive black hole binaries by LISA

• DOI: 10.1093/mnras/stac365
• Publication Date: 2022-02-09T20:13:22Z
• Authors: Zucheng Gao; Xian Chen; Yi-Ming Hu; Jian-Dong Zhang; Shun-Jia Huang
• Keywords: Black hole (networking)

Gravitational lensing of gravitational waves (GWs) is a powerful probe the matter distribution in universe. Here we revisit wave-optics effects induced by dark (DM) halos on GW signals merging massive black hole binaries (MBHBs), and study possibility discerning these using Laser Interferometer Space Antenna (LISA). In particular, include low-mass range $\rm 10^5-10^8\, M_\odot$ since they are most numerous according to cold DM model. We simulate lensed corresponding wide impact parameters, find distinguishable deviation from standard best-fit templates even when parameter as large $y\simeq50$. Consequently, estimate that over $(0.1-1.6)\%$ MBHBs mass 10^{5.0}-10^{6.5}\, redshift $4-10$ should show detectable effects. This probability one order magnitude higher than derived previous works. The uncertainty comes mainly function halos. Not detecting any signal during LISA mission would imply with less what model predicts.