Introduces a target redshift z_t to isolate metal-poor black hole progenitors and a statistical framework to test merger-rate variations against forecasts from Einstein Telescope and Cosmic Explorer.
Borhanian, GWBENCH: a novel Fisher informa- tion package for gravitational-wave benchmarking, Class
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Using TaylorF2 post-Newtonian waveforms truncated at ISCO, the study finds that Einstein Telescope and Cosmic Explorer can reach SNR of 100-350 and measure primary spin to 10^{-4}-10^{-3} precision for 0.1-2 solar mass exotic compact objects.
LGWA could observe more than one third of known binary black hole events, detect ~90 mergers per year, and measure chirp mass better than third-generation detectors for massive systems.
DALI extends the Fisher Matrix to higher orders and approximates MCMC posteriors for GW events at 55 times lower cost, with singlet-DALI offering better accuracy and the GWDALI code providing automatic differentiation and modern waveforms.
Simulations of ET and CE networks show delays degrade localization metrics far more than SNR, with LIGO India greatly reducing the impact for multi-messenger and stochastic searches.
Next-generation GW detector networks can constrain the spatial curvature parameter Ω_k to 1σ uncertainty of 0.029 using intermediate-mass binary black hole bright sirens.
Fisher-matrix forecasts show Cosmic Explorer and Einstein Telescope can probe sub-solar PBHs to z~3 and distinguish PBHs from neutron stars up to z~0.2 via lack of tidal deformability.
Fisher-matrix methods in GWFish match LIGO/Virgo posteriors reasonably when priors are included, with prior impact scaling with parameter degeneracy, supporting their use for ET forecasts.
The paper evaluates how triangular versus two-L-shaped geometries, arm lengths, and presence of low-frequency instruments affect the science reach of the Einstein Telescope for compact binaries, multi-messenger events, and stochastic backgrounds.
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Validating Prior-informed Fisher-matrix Analyses against GWTC Data
Fisher-matrix methods in GWFish match LIGO/Virgo posteriors reasonably when priors are included, with prior impact scaling with parameter degeneracy, supporting their use for ET forecasts.