Constraints on the Primordial Black Hole Abundance through Scalar-Induced Gravitational Waves from Advanced LIGO and Virgo's First Three Observing Runs

TL;DR

This paper uses data from LIGO-Virgo and future gravitational wave detectors to constrain the abundance of primordial black holes, finding they are unlikely to account for dark matter in certain mass ranges due to the absence of scalar-induced gravitational waves.

Contribution

The study provides new constraints on primordial black hole abundance by analyzing gravitational wave data and discusses the potential of future detectors to further limit their role as dark matter candidates.

Findings

PBHs in the mass range ~[10^{-24},10^{-19}] M_sun are ruled out.

Null detection of scalar-induced gravitational waves constrains PBH abundance.

Future detectors could exclude PBHs as dark matter in a broader mass range.

Abstract

As a promising dark matter candidate, primordial black holes (PBHs) lighter than $\sim10^{-18}M_{\odot}$ are supposed to have evaporated by today through Hawking radiation. This scenario is challenged by the memory burden effect, which suggests that the evaporation of black holes may slow down significantly after they have emitted about half of their initial mass. We explore the astrophysical implications of the memory burden effect on the PBH abundance by today and the possibility for PBHs lighter than $\sim10^{-18}M_{\odot}$ to persist as dark matter. Our analysis utilizes current LIGO-Virgo-KAGRA data to constrain the primordial power spectrum and infer the PBH abundance. We find a null detection of scalar-induced gravitational waves that accompanied the formation of the PBHs. Then we find that PBHs are ruled out within the mass range $\sim[10^{-24},10^{-19}]M_{\odot}$. Furthermore, we expect that next-generation gravitational wave detectors, such as the Einstein Telescope and the Cosmic Explorer, will provide even more stringent constraints. Our results indicate that future detectors can reach sensitivities that could rule out PBH as dark matter within $\sim[10^{-29}M_{\odot},10^{-16}M_{\odot}]$ in the null detection of scalar-induced gravitational waves.