The Dark Side of Using Dark Sirens to Constrain the Hubble-Lemaître Constant

Abstract

Dark sirens, i.e., gravitational-wave (GW) sources without electromagnetic counterparts, are new probes of the expansion of the universe. The efficacy of this method relies on correctly localizing the host galaxies. However, recent theoretical studies have shown that astrophysical environments could mislead the spatial localization by distorting the GW signals. It is unclear whether and to what degree the incorrect spatial localizations of dark sirens would impair the accuracy of the measurement of the cosmological parameters. To address this issue, we consider the future observations of dark sirens using the Cosmic Explorer and the Einstein Telescope, and we design a Bayesian framework to access the precision of measuring the Hubble-Lemaître constant $H_0$. Interestingly, we find that the precision is not compromised when the number of well-localized dark sirens is significantly below $300$, even in the extreme scenario that all the dark sirens are localized incorrectly. As the number exceeds $300$, the incorrect spatial localizations start to produce statistically noticeable effects, such as a slow convergence of the posterior distribution of $H_0$. We propose several tests that can be used in future observations to verify the spatial localizations of dark sirens. Simulations of these tests suggest that incorrect spatial localizations will dominate a systematic error of $H_0$ if as much as $10\%$ of a sample of $300$ well-localized dark sirens are affected by their environments. Our results have important implications for the long-term goal of measuring $H_0$ to a precision of $<1\%$ using dark sirens.

13 pages, 9 figures. published in ApJ

References in corpus (14)

• The NumPy array: a structure for efficient numerical computation
• Multi-messenger Observations of a Binary Neutron Star Merger
• Gravitational Waves and Gamma-rays from a Binary Neutron Star Merger: GW170817 and GRB 170817A
• The James Webb Space Telescope
• The propagation of uncertainties in stellar population synthesis modeling I: The relevance of uncertain aspects of stellar evolution and the IMF to the derived physical properties of galaxies
• Exploring the Sensitivity of Next Generation Gravitational Wave Detectors
• A gravitational-wave standard siren measurement of the Hubble constant
• The Expansion of the Universe is Faster than Expected
• First measurement of the Hubble constant from a dark standard siren using the Dark Energy Survey galaxies and the LIGO/Virgo binary-black-hole merger GW170814
• emcee v3: A Python ensemble sampling toolkit for affine-invariant MCMC
• Where are LIGO's Big Black Holes?
• The Distance to NGC 4993: The Host Galaxy of the Gravitational-wave Event GW170817
• What if LIGO's gravitational wave detections are strongly lensed by massive galaxy clusters?
• A Program for Multi-Messenger Standard Siren Cosmology in the Era of LIGO A+, Rubin Observatory, and Beyond

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