The North American Nanohertz Observatory for Gravitational Waves (NANOGrav) has recently reported evidence for the presence of a common stochastic signal across their array of pulsars. The origin of this signal is still unclear. One of the possibilities is that it is due to a stochastic gravitational wave background (SGWB) in the ∼1−10nHz frequency region. Taking the NANOGrav observational result at face value, we show that this signal would be fully consistent with a SGWB produced by an unresolved population of in-spiralling massive black hole binaries (MBHBs) predicted by current theoretical models. Considering an astrophysically agnostic model we find that the MBHB merger rate is loosely constrained to the range 10−11−2Mpc−3Gyr−1. Including additional constraints from galaxy pairing fractions and MBH-bulge scaling relations, we find that the MBHB merger rate is 10−5−5×10−4Mpc−3Gyr−1, the MBHB merger time-scale is ≤3Gyr and the norm of the MBH−Mbulge relation ≥1.2×108M⊙ (all intervals quoted at 90\% confidence). Regardless of the astrophysical details of MBHB assembly, this result would imply that a sufficiently large population of massive black holes pair up, form binaries and merge within a Hubble time.
@article{arxiv.2011.01246,
title = {Massive black hole binary systems and the NANOGrav 12.5 year results},
author = {Hannah Middleton and Alberto Sesana and Siyuan Chen and Alberto Vecchio and Walter Del Pozzo and Pablo A. Rosado},
journal= {arXiv preprint arXiv:2011.01246},
year = {2021}
}