Incompleteness Matters Not: Inference of $H_0$ from BBH-galaxy cross-correlations

Abstract

We show how the angular clustering between gravitational-wave standard sirens and galaxies with known redshifts allows an inference of the Hubble constant, regardless of whether the host galaxies of any of these sirens are present in the galaxy catalog. We demonstrate this for the first time with realistic simulations of gravitational-wave signals from binary black holes in a three-detector network with Advanced LIGO and Advanced Virgo sensitivities. We show that with such a network, the cross-correlation technique can be used to infer the Hubble parameter with a precision of less than 10% (2%) at 90% confidence with 50 (500) sources, even with a 100% incomplete catalog, which does not contain the hosts of any of the gravitational-wave events. We compare our method with the current state-of-the-art techniques used for the inference of the Hubble parameter from real data. We argue that, if the clustering information is not used explicitly, the inference of $H_0$ from real data is expected to be prior-dominated.

arXiv comment15 pages, 11 figures, few references modified, matches published version

References in corpus (56)

• emcee: The MCMC Hammer
• Planck 2015 results. XIII. Cosmological parameters
• GW170817: Observation of Gravitational Waves from a Binary Neutron Star Inspiral
• Advanced Virgo: a 2nd generation interferometric gravitational wave detector
• GWTC-1: A Gravitational-Wave Transient Catalog of Compact Binary Mergers Observed by LIGO and Virgo during the First and Second Observing Runs
• A 2.4% Determination of the Local Value of the Hubble Constant
• Large Magellanic Cloud Cepheid Standards Provide a 1% Foundation for the Determination of the Hubble Constant and Stronger Evidence for Physics Beyond LambdaCDM
• Spectroscopic Target Selection in the Sloan Digital Sky Survey: The Main Galaxy Sample
• GW190814: Gravitational Waves from the Coalescence of a 23 M${}_{\odot }$ Black Hole with a 2.6 M${}_{\odot }$ Compact Object
• GW190425: Observation of a Compact Binary Coalescence with Total Mass $\sim 3.4M_{\odot }$
• Characterization of the LIGO detectors during their sixth science run
• Tensions between the Early and the Late Universe
• The Fourth Data Release of the Sloan Digital Sky Survey
• Bilby: A user-friendly Bayesian inference library for gravitational-wave astronomy
• Early Dark Energy Can Resolve The Hubble Tension
• MultiDark simulations: the story of dark matter halo concentrations and density profiles
• Using gravitational-wave standard sirens
• The Hubble Hunter's Guide
• Milky Way Cepheid Standards for Measuring Cosmic Distances and Application to Gaia DR2: Implications for the Hubble Constant
• New Parallaxes of Galactic Cepheids from Spatially Scanning the Hubble Space Telescope: Implications for the Hubble Constant
• The Updated Zwicky Catalog (UZC)
• A 2 per cent Hubble constant measurement from standard sirens within 5 years
• Early dark energy, the Hubble-parameter tension, and the string axiverse
• The Neutrino Puzzle: Anomalies, Interactions, and Cosmological Tensions
• Gravitational Waves from Primordial Black Hole Mergers
• 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
• Calibrating Redshift Distributions Beyond Spectroscopic Limits with Cross-Correlations
• An Improved Distance to NGC 4258 and its Implications for the Hubble Constant
• Does the Hubble constant tension call for new physics?
• Inference of the cosmological parameters from gravitational waves: application to second generation interferometers
• Acoustic Dark Energy: Potential Conversion of the Hubble Tension
• Elucidating $\Lambda$CDM: Impact of Baryon Acoustic Oscillation Measurements on the Hubble Constant Discrepancy
• A standard siren measurement of the Hubble constant from GW170817 without the electromagnetic counterpart
• Precision of Hubble constant derived using black hole binary absolute distances and statistical redshift information
• Combining Full-Shape and BAO Analyses of Galaxy Power Spectra: A 1.6% CMB-independent constraint on H0
• The BAO+BBN take on the Hubble tension
• A Future Percent-Level Measurement of the Hubble Expansion at Redshift 0.8 With Advanced LIGO
• Cosmological Inference using Gravitational Wave Standard Sirens: A Mock Data Challenge
• Structure formation in $f(T)$ gravity and a solution for $H_0$ tension
• A Vacuum Phase Transition Solves $H_0$ Tension
• A statistical standard siren measurement of the Hubble constant from the LIGO/Virgo gravitational wave compact object merger GW190814 and Dark Energy Survey galaxies
• On using angular cross-correlations to determine source redshift distributions
• Measuring the distance-redshift relation with the cross-correlation of gravitational wave standard sirens and galaxies
• Measuring the Hubble constant with neutron star black hole mergers
• The Hubble Constant
• Recovering Redshift Distributions with Cross-Correlations: Pushing The Boundaries
• $H_0$ tension as a hint for a transition in gravitational theory
• Clustering-based Redshift Estimation: Comparison to Spectroscopic Redshifts
• Measuring the Hubble constant: Gravitational wave observations meet galaxy clustering
• The SDSS u-band Galaxy Survey: Luminosity functions and evolution
• Warm Decaying Dark Matter and the Hubble Tension
• 2dFLenS and KiDS: Determining source redshift distributions with cross-correlations
• Cosmological inference from standard sirens without redshift measurements
• Joint cosmological inference of standard sirens and gravitational wave weak lensing
• An optimal method for scheduling observations of large sky error regions for finding optical counterparts to transients
• Optimal Optical Search Strategy for Finding Transient in Large Sky Error Region Under Realistic Constraints

Cited by in corpus (44)

• New Horizons for Fundamental Physics with LISA
• Constraints on the cosmic expansion history from GWTC-3
• Accurate precision Cosmology with redshift unknown gravitational wave sources
• GLADE+: An Extended Galaxy Catalogue for Multimessenger Searches with Advanced Gravitational-wave Detectors
• Detection of Early-Universe Gravitational Wave Signatures and Fundamental Physics
• The Science of the Einstein Telescope
• Testing the general theory of relativity using gravitational wave propagation from dark standard sirens
• Binary black holes population and cosmology in new lights: Signature of PISN mass and formation channel in GWTC-3
• The Hitchhiker's guide to the galaxy catalog approach for gravitational wave cosmology
• Cosmology and modified gravitational wave propagation from binary black hole population models
• Constraining the Hubble constant to a precision of about 1% using multi-band dark standard siren detections
• Cosmology with Standard Sirens at Cosmic Noon
• Simultaneous Inference of Neutron Star Equation of State and the Hubble Constant with a Population of Merging Neutron Stars
• Cross-correlating dark sirens and galaxies: constraints on $H_0$ from GWTC-3 of LIGO-Virgo-KAGRA
• Cosmology Intertwined: A Review of the Particle Physics, Astrophysics, and Cosmology Associated with the Cosmological Tensions and Anomalies
• Cosmology and Astrophysics with Standard Sirens and Galaxy Catalogs in View of Future Gravitational Wave Observations
• Cosmography with next-generation gravitational wave detectors
• Learning how to surf: Reconstructing the propagation and origin of gravitational waves with Gaussian Processes
• Gravitational-wave dark siren cosmology systematics from galaxy weighting
• Analyzing clustering of astrophysical gravitational-wave sources: Luminosity-distance space distortions
• Parameter estimation of eccentric gravitational waves with a decihertz observatory and its cosmological implications
• Constraining $\Lambda$CDM cosmological parameters with Einstein Telescope mock data
• Exploring binary black hole mergers and host galaxies with Shark and COMPAS
• Testing the nature of gravitational wave propagation using dark sirens and galaxy catalogues
• GWSim: Python package for creating mock GW samples for different astrophysical populations and cosmological models of binary black holes
• Investigating the impact of galaxies' compact binary hosting probability for gravitational-wave cosmology
• A robust cosmic standard ruler from the cross-correlations of galaxies and dark sirens
• Bayesian framework to infer the Hubble constant from the cross-correlation of individual gravitational wave events with galaxies
• Detecting Baryon Acoustic Oscillations with third generation gravitational wave observatories
• A model-independent tripartite test of cosmic distance relations
• Unveiling the Universe with Emerging Cosmological Probes
• Impact of gravitational waveform model systematics on the measurement of the Hubble constant
• Cosmology with LIGO/Virgo dark sirens: Hubble parameter and modified gravitational wave propagation
• Estimating Hubble Constant with Gravitational Observations: A Concise Review
• Cosmic Cartography II: completing galaxy catalogs for gravitational-wave cosmology
• Inferring astrophysics and cosmology with individual compact binary coalescences and their gravitational-wave stochastic background
• The Gravitational Wave Bias Parameter from Angular Power Spectra: Bridging Between Galaxies and Binary Black Holes
• Joint Inference of Population, Cosmology, and Neutron Star Equation of State from Gravitational Waves of Dark Binary Neutron Stars
• Mapping the cosmic expansion history from LIGO-Virgo-KAGRA in synergy with DESI and SPHEREx
• Parameter estimation of eccentric massive black hole binaries with LISA and its cosmological implications
• Synergy between CSST and third-generation gravitational-wave detectors: Inferring cosmological parameters using cross-correlation of dark sirens and galaxies
• Measurement of the Hubble constant using the Dark Energy Survey Year 6 Gold galaxy catalogue and the fourth Gravitational-Wave Transient Catalogue
• Golden and Silver Dark Sirens for precise H0 measurement with HETDEX
• Gravitational-wave standard sirens and application in cosmology