Measuring the binary black hole mass spectrum with an astrophysically motivated parameterization

TL;DR

This paper develops a parameterized model of the binary black hole mass spectrum based on astrophysical processes, enabling inference of stellar evolution features from gravitational-wave data, including mass cut-offs and supernova signatures.

Contribution

It introduces an astrophysically motivated parameterization of the black hole mass spectrum, linking gravitational-wave observations to stellar evolution models and supernova physics.

Findings

Measured the minimum and maximum stellar black hole masses.

Detected a peak in the mass spectrum due to pair-instability supernovae.

Showed that incorrect models bias merger rate and background estimates.

Abstract

Gravitational-wave detections have revealed a previously unknown population of stellar mass black holes with masses above $20\, M_{\odot}$. These observations provide a new way to test models of stellar evolution for massive stars. By considering the astrophysical processes likely to determine the shape of the binary black hole mass spectrum, we construct a parameterized model to capture key spectral features that relate gravitational-wave data to theoretical stellar astrophysics. In particular, we model the signature of pulsational pair-instability supernovae, which are expected to cause all stars with initial mass $100\, M_{\odot}\lesssim M \lesssim 150\, M_{\odot}$ to form $\sim 40\, M_{\odot}$ black holes. This would cause a cut-off in the black hole mass spectrum along with an excess of black holes near $40\, M_{\odot}$. We carry out a simulated data study to illustrate some of the stellar physics that can be inferred using gravitational-wave measurements of binary black holes and demonstrate several such inferences that might be made in the near future. First, we measure the minimum and maximum stellar black hole mass. Second, we infer the presence of a peak due to pair-instability supernovae. Third, we measure the black hole mass ratio distribution. Finally, we show how inadequate models of the black hole mass spectrum lead to biased estimates of the merger rate and the amplitude of the stochastic gravitational-wave background.