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Spectral sirens cosmology from binary black holes populations with sharper mass features
General Relativity and Quantum Cosmology · Submitted 6 Mar 2026 · Published version
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim Our results highlight the strong interplay between the black hole mass distribution and inferred cosmology.
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The abstract, sentence by sentence
Spectral-sirens inference enables the extraction of cosmological parameters from gravitational-wave data alone, without electromagnetic counterparts or galaxy catalogs. We introduce new parametric mass functions for the binary black hole population built as linear combination of truncated power-laws that capture significant structure across the mass spectrum. On analysing the latest gravitational-wave transient catalog, GWTC-4.0, we show that power-laws-only population models constrain the Hubble constant to $H_0 = 53.3^{+14.0}_{-10.8} ~\rm km \,s^{-1} \,Mpc^{-1}$ at $68\%$ confidence level. After probing the robustness of the results with respect to several modelling assumptions, we further test alternative cosmological models, establishing competitive constraints on modified gravitational-wave propagation, while bounds on the dark energy equation-of-state parameters remain uninformative. Projecting to the future O5 observing run with larger datasets at higher redshifts, we forecast substantial improvements in $H_0$ and modified propagation parameters. Our results highlight the strong interplay between the black hole mass distribution and inferred cosmology.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | Spectral-sirens inference enables the extraction of cosmological parameters from gravitational-wave data alone, without electromagnetic counterparts or galaxy catalogs. | background 1.00 | 0.07 | 0.07 | asserted 0.99 |
| s1 | We introduce new parametric mass functions for the binary black hole population built as linear combination of truncated power-laws that capture significant structure across the mass spectrum. | contribution 0.65 | 0.94 | 0.06 | asserted 1.00 |
| s2 | On analysing the latest gravitational-wave transient catalog, GWTC-4.0, we show that power-laws-only population models constrain the Hubble constant to $H_0 = 53.3^{+14.0}_{-10.8} ~\rm km \,s^{-1} \,Mpc^{-1}$ at $68\%$ confidence level. | result 1.00 | 0.96 | 0.33 | asserted 1.00 |
| s3 | After probing the robustness of the results with respect to several modelling assumptions, we further test alternative cosmological models, establishing competitive constraints on modified gravitational-wave propagation, while bounds on the dark energy equation-of-state parameters remain uninformative. | result 0.97 | 0.95 | 0.21 | asserted 1.00 |
| s4 | Projecting to the future O5 observing run with larger datasets at higher redshifts, we forecast substantial improvements in $H_0$ and modified propagation parameters. | future work 0.67 | 0.76 | 0.09 | asserted 0.45 |
| s5 | Our results highlight the strong interplay between the black hole mass distribution and inferred cosmology. | interpretation 1.00 | 0.70 | 0.46 | asserted 0.97 |
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The paper
Original abstract
Spectral-sirens inference enables the extraction of cosmological parameters from gravitational-wave data alone, without electromagnetic counterparts or galaxy catalogs. We introduce new parametric mass functions for the binary black hole population built as linear combination of truncated power-laws that capture significant structure across the mass spectrum. On analysing the latest gravitational-wave transient catalog, GWTC-4.0, we show that power-laws-only population models constrain the Hubble constant to $H_0 = 53.3^{+14.0}_{-10.8} ~\rm km \,s^{-1} \,Mpc^{-1}$ at $68\%$ confidence level. After probing the robustness of the results with respect to several modelling assumptions, we further test alternative cosmological models, establishing competitive constraints on modified gravitational-wave propagation, while bounds on the dark energy equation-of-state parameters remain uninformative. Projecting to the future O5 observing run with larger datasets at higher redshifts, we forecast substantial improvements in $H_0$ and modified propagation parameters. Our results highlight the strong interplay between the black hole mass distribution and inferred cosmology.
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References
How the literature uses it
6 arXiv papers cite this in 19 sentences
Papers citing it · 9 sentences without a confident label
Compares with it 2 papers
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A similar shift has been reported in other analyses, both with phenomenological [ref] and more agnostic approaches [ref] .
Emergent structure in the binary black hole mass distribution and implications for population-based cosmology · Cosmological inference · 0.93
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In Ref. [ref] , which considers a broader set of cosmological and population models allowing for sharper mass features, the inferred values span a wider range, with shifts typically between $∼0.3$ and $0.7 σ$, and the most discrepant configuration reaching $∼0.8 σ$.
Gravitational-wave constraints on $H_0$ are robust to putative redshift evolution in the binary black hole mass spectrum at current sensitivity · Results with free cosmology · 0.92
Cites it as support 1 paper
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We demonstrate that $H_0$ estimates are highly sensitive to the resolvability of features in the primary mass distribution, particularly at its boundaries, consistent with recent findings [ref] .
Emergent structure in the binary black hole mass distribution and implications for population-based cosmology · Introduction · 0.97
Cites it as background 2 papers
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LVK analyses [ref] , and subsequent GWTC-4.0–based spectral-siren analyses [ref] (see also [ref] for a thorough analysis on previous catalogs) so far have adopted redshift-independent mass distributions, and have explored the impact of adopting different functional forms which allow for more spectral features.
Gravitational-wave constraints on $H_0$ are robust to putative redshift evolution in the binary black hole mass spectrum at current sensitivity · Introduction · 0.85
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Methods to do so include leveraging population properties of the GW sources, a technique known as `spectral sirens' [ref] , constructing a line-of-sight redshift prior in the localisation area of each signal derived from the galaxy catalogue [ref] , or cross-correlating the angular distribution of GW events to large scale structure maps from galaxy surveys [ref] .
No parametrisation, No Problem: A Weakly Modelled Framework to Constrain the Luminosity Distance--Redshift Relation Using Gravitational Wave Sirens · Introduction · 0.81
What it cites · 143 sentences without a confident label
Builds on 2 papers
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Building on previous studies [ref] , we propose two new mass models able to simultaneously capture both low- and high-mass structure in the astrophysical distribution.
Searching for additional structure and redshift evolution in the observed binary black hole population with a parametric time-dependent mass distribution · Population models · 0.99
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Building on previous studies [ref] , we propose two new mass models able to simultaneously capture both low- and high-mass structure in the astrophysical distribution.
2508.19331 · Population models · 0.99
Uses the method or tool of 15 papers
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We use the [ref] Python package's numerical implementation of the hierarchical likelihood, together with the [ref] sampler — part of the [ref] Bayesian inference package — which implements a machine learning-augmented version of the nested sampling algorithm [ref] making use of normalising flows.
ICAROGW: A python package for inference of astrophysical population properties of noisy, heterogeneous and incomplete observations · Hierarchical inference framework · 1.00
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We use the [ref] Python package's numerical implementation of the hierarchical likelihood, together with the [ref] sampler — part of the [ref] Bayesian inference package — which implements a machine learning-augmented version of the nested sampling algorithm [ref] making use of normalising flows.
Bilby: A user-friendly Bayesian inference library for gravitational-wave astronomy · Hierarchical inference framework · 1.00
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We use the [ref] Python package's numerical implementation of the hierarchical likelihood, together with the [ref] sampler — part of the [ref] Bayesian inference package — which implements a machine learning-augmented version of the nested sampling algorithm [ref] making use of normalising flows.
Massively parallel Bayesian inference for transient gravitational-wave astronomy · Hierarchical inference framework · 1.00
Uses data or values from 6 papers
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We analyse the data from the latest released GWTC catalog, namely the GW transients detected up to and including the first part of the fourth observing run (O4a) of the LVK network [ref] .
GWTC-4.0: Updating the Gravitational-Wave Transient Catalog with Observations from the First Part of the Fourth LIGO-Virgo-KAGRA Observing Run · GWTC-4.0 · 0.99
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For GWTC analyses, we use the publicly available injections by LVK computed at O3 and O4 sensitivity in real noise [ref] , that have been used in the LVK publications for GWTC-4.0 [ref] .
GWTC-4.0: Population Properties of Merging Compact Binaries · Estimating selection effects · 0.99
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For GWTC analyses, we use the publicly available injections by LVK computed at O3 and O4 sensitivity in real noise [ref] , that have been used in the LVK publications for GWTC-4.0 [ref] .
GWTC-4.0: Constraints on the Cosmic Expansion Rate and Modified Gravitational-wave Propagation · Estimating selection effects · 0.99
Compares with 11 papers
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This is a $∼50%$ improvement compared to the LVK BBH-only result, and is comparable to the full LVK analysis including BNS and galaxy catalogs information [ref] .
GWTC-4.0: Constraints on the Cosmic Expansion Rate and Modified Gravitational-wave Propagation · Conclusion · 1.00
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As for previous catalogs [ref] , we show that the model is mildly favoured by the GWTC data over power-law + Gaussians models similar to those used by LVK [ref] (see Tabs.
Constraints on the cosmic expansion history from GWTC-3 · Conclusion · 0.88
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As for previous catalogs [ref] , we show that the model is mildly favoured by the GWTC data over power-law + Gaussians models similar to those used by LVK [ref] (see Tabs.
2508.19331 · Conclusion · 0.88
Cites as support 11 papers
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Notice that we assume the population distribution $p_pop$ not to evolve with redshift, motivated by several studies of recent data finding no robust evidence for redshift evolution[The effect could become more significant with the increasing sensitivities of GW detectors and require proper modelling [ref] .] [ref] .
Blinded Mock Data Challenge for Gravitational-Wave Cosmology-I: Assessing the Robustness of Methods Using Binary Black Holes Mass Spectrum · Hierarchical inference framework · 0.99
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Notice that we assume the population distribution $p_pop$ not to evolve with redshift, motivated by several studies of recent data finding no robust evidence for redshift evolution[The effect could become more significant with the increasing sensitivities of GW detectors and require proper modelling [ref] .] [ref] .
Binary black holes population and cosmology in new lights: Signature of PISN mass and formation channel in GWTC-3 · Hierarchical inference framework · 0.99
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Notice that we assume the population distribution $p_pop$ not to evolve with redshift, motivated by several studies of recent data finding no robust evidence for redshift evolution[The effect could become more significant with the increasing sensitivities of GW detectors and require proper modelling [ref] .] [ref] .
A Study of Systematics on the Cosmological Inference of the Hubble Constant from Gravitational Wave Standard Sirens · Hierarchical inference framework · 0.99
Cites as background 26 papers
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The plethora of sources thus observed enabled statistical studies of their astrophysical distribution in terms of the binaries' individual properties [ref] and tests of GR in the strong field regime [ref] .
Tests of General Relativity with GW170817 · Introduction · 0.80
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The plethora of sources thus observed enabled statistical studies of their astrophysical distribution in terms of the binaries' individual properties [ref] and tests of GR in the strong field regime [ref] .
The population of merging compact binaries inferred using gravitational waves through GWTC-3 · Introduction · 0.80
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The plethora of sources thus observed enabled statistical studies of their astrophysical distribution in terms of the binaries' individual properties [ref] and tests of GR in the strong field regime [ref] .
Tests of General Relativity with the Binary Black Hole Signals from the LIGO-Virgo Catalog GWTC-1 · Introduction · 0.80
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