Gravitational wave backgrounds from coalescing black hole binaries at cosmic dawn: an upper bound

TL;DR

This paper establishes an upper limit on the gravitational wave background from early-universe black hole mergers, suggesting it could be detectable and provide insights into high-redshift black hole populations and their mass functions.

Contribution

It provides the first upper bound estimate on the GWB from high-redshift BBH mergers linked to cosmic reionization, highlighting potential detectability and spectral features.

Findings

GWB amplitude could reach ~1.48×10^{-9} at 25 Hz.

High-redshift BBH mergers may significantly contribute to local GW events.

GWB spectrum is flatter than the canonical 2/3 spectral index.

Abstract

The successive discoveries of binary merger events by Advanced LIGO-Virgo have been revealing the statistical properties of binary black hole (BBH) populations. A stochastic gravitational wave background (GWB) is a useful tool to probe the cosmological evolution of those compact mergers. In this paper, we study the upper bound on a GWB produced by BBH mergers, whose stellar progenitors dominate the reionization process at the cosmic dawn. Since early reionization by those progenitors yields a high optical depth of the universe inconsistent with the {\it Planck} measurements, the cumulative mass density is limited to $\rho_\star \lesssim 10^7~M_\odot~{\rm Mpc}^{-3}$. Even with this upper bound, the amplitude of a GWB owing to the high-$z$ BBH mergers is expected to be as high as $\Omega_{\rm gw}\simeq 1.48_{-1.27}^{+1.80}\times 10^{-9}$ at $f\simeq 25$ Hz, while their merger rate at the present-day is consistent or lower than the observed GW event rate. This level of GWB is detectable at the design sensitivity of Advanced LIGO-Virgo and would indicate a major contribution of the high-$z$ BBH population to the local GW events. The spectral index is expected to be substantially flatter than the canonical value of $\simeq 2/3$ generically produced by lower-redshift and less massive BBHs. Moreover, if their mass function is more top-heavy than in the local universe, the GWB spectrum is even more skewed toward lower frequencies, which would allow us to extract information on the mass function of merging BBHs at high redshifts.