Constraints on the cosmic expansion history from GWTC-3

Document #:

LIGO-P2100185-v5

Document type:

P - Publications

Abstract:

We use 47 gravitational-wave sources from the Third LIGO-Virgo-KAGRA Gravitational-Wave Transient Catalog (GWTC-3) to estimate the Hubble parameter $H(z)$, including its current value, the Hubble constant $H_0$. Each gravitational-wave (GW) signal provides the luminosity distance to the source and we estimate the corresponding redshift using two methods: the redshifted masses and a galaxy catalog. Using the binary black hole (BBH) redshifted masses, we simultaneously infer the source mass distribution and $H(z)$. The source mass distribution displays a peak around $34\, {\rm M_\odot}$, followed by a drop-off. Assuming this mass scale does not evolve with redshift results in a $H(z)$ measurement, yielding $H_0=68^{+13}_{-7} {\rm km\,s^{-1}\,Mpc^{-1}}$ ($68\%$ credible interval) when combined with the $H_0$ measurement from GW170817 and its electromagnetic counterpart. This represents an improvement of 13% with respect to the $H_0$ estimate from GWTC-1. The second method associates each GW event with its probable host galaxy in the catalog GLADE+, statistically marginalizing over the redshifts of each event's potential hosts. Assuming a fixed BBH population, we estimate a value of $H_0=68^{+8}_{-6} {\rm km\,s^{-1}\,Mpc^{-1}}$ with the galaxy catalog method, an improvement of 41% with respect to our GWTC-1 result and 20% with respect to recent $H_0$ studies using GWTC-2 events. However, we show that this result is strongly impacted by assumptions about the BBH source mass distribution; the only event which is not strongly impacted by such assumptions (and is thus informative about $H_0$) is the well-localized event GW190814.

Files in Document:

• O3_cosmology.pdf (7.9 MB)

Topics:

• Compact Binaries

Author Groups:

• LVK

Keywords:

cosmology CBC GW EM counterpart

Notes and Changes:

The software used to produce the results in this paper can be downloaded from

Icarogw https://git.ligo.org/cbc-cosmo/icarogw
GWcosmo https://git.ligo.org/lscsoft/gwcosmo

Data results in the form of posterior samples for the cosmological and population parameters (icarogw) and Hubble constant posteriors (GWcosmo) are provided on Zenodo DOI: 10.5281/zenodo.5645777.

Zenodo contains also the GLADE+ galaxy catalog used to produce the GWcosmo results and example scripts to run the code.