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Glossary

Term Definition
GW Gravitational wave
LVK LIGO–Virgo–KAGRA, the collaboration of the ground-based GW detectors (H1 Hanford, L1 Livingston, V1 Virgo, K1 KAGRA)
GWTC Gravitational-Wave Transient Catalog: GWTC-1, -2.1, -3, -4.0, -5.0
GWOSC Gravitational Wave Open Science Center, the public GW data portal
O1, O2, O3a, O3b, O4a, O4b Observing runs, 2015–2025; O3 and O4 are split in halves
ER15 Engineering run 15, just before O4a
BBH / BNS / NSBH Binary black hole / binary neutron star / neutron star–black hole binary
PE Parameter estimation: the Bayesian inference of one event's masses, spins, distance, sky position…
PE label One analysis in a PE file (waveform, settings), e.g. C00:IMRPhenomXPHM-SpinTaylor; Mixed combines several
PESummary The LVK file format and library for PE results (Hoy & Raymond 2021 [62])
PSD Power spectral density, the detector noise spectrum, used to whiten the data
Calibration envelope Uncertainty of the detector calibration in amplitude and phase, marginalized in PE
FAR False-alarm rate: how often noise alone produces a candidate at least this significant (per year)
p_astro Probability that a candidate is astrophysical
SNR Signal-to-noise ratio; the matched-filter SNR compares the data with a template
Chirp mass \(\mathcal{M} = (m_1 m_2)^{3/5}/(m_1+m_2)^{1/5}\), the mass combination that sets the inspiral
z Redshift: the stretch of wavelengths and time scales by cosmic expansion
D_L Luminosity distance, measured by the GW amplitude
Source / detector frame Physical masses / redshifted masses \(m_\text{det} = (1+z)\, m_\text{src}\) seen by the detector
H₀ Hubble constant, the present expansion rate of the Universe (km/s/Mpc)
Planck 2015 cosmology Flat ΛCDM with the Planck 2015 parameters, the reference cosmology of the GW catalogs: Planck15 (astropy: H₀ = 67.74, Ω_m = 0.3075) or Planck15_LAL (LAL: H₀ = 67.90, Ω_m = 0.3065) (Planck Collaboration 2016 [32]); see How the redshift is obtained
ΛCDM, Ω_m Standard cosmological model; present matter density as a fraction of the critical density
Comoving volume V_c Volume that expands with the Universe; merger rates are given per unit comoving volume
Standard siren A GW source used as a distance indicator
Bright / dark / spectral siren Redshift from an electromagnetic counterpart / a galaxy catalog / features of the mass distribution
Injection A simulated signal added to the data (or evaluated semi-analytically) to measure the detection probability
p_draw The known density from which the injections were drawn
Found injection An injection that passes the detection criteria (FAR or SNR threshold)
VT, ⟨VT⟩ Sensitive volume × time of a population: the expected number of detections is R ⟨VT⟩
ξ Detectable fraction of a population
n_eff Effective number of samples of a weighted Monte Carlo sum, \((\sum x)^2/\sum x^2\)
Hierarchical inference Inference of population parameters from many events, each with its own uncertain parameters
Hyperprior Prior on population (and cosmological) parameters
PLP Power Law + Peak: BBH primary-mass model, a power law with a Gaussian peak and a smooth low-mass turn-on [15] [11]
MLTP Multi Peak model: power law with two Gaussian peaks (found near 9 and 27 M☉) [29]
FullPop-4.0 GWTC-4.0 model of the full compact-binary population (neutron stars, mass gap, black holes) [13] [29]
Madau–Dickinson Shape of the merger rate with redshift: rises as (1+z)^γ, peaks near z_p, falls as (1+z)^−κ [16]
Nested sampling Bayesian sampling that computes the evidence and the posterior together (dynesty)
Live points The set of samples nested sampling evolves; more live points, finer exploration
ln Z Log Bayesian evidence
Seed Initialization of the random generator of one sampler run
icarogw Python package for population and cosmology inference with GW events (Mastrogiovanni et al. 2024 [57])
bilby / dynesty Bayesian inference library (Ashton et al. 2019 [58]) / its nested sampler (Speagle 2020 [60])
IMRPhenomXPHM Frequency-domain waveform model with precession and higher modes (Pratten et al. 2021 [51])
XPHM-SpinTaylor IMRPhenomXPHM with numerically evolved spin precession (Colleoni et al. 2024 [52])
q-transform Time–frequency representation of the strain, showing the chirp
Whitening Dividing the data by the noise amplitude spectrum, so that all frequencies have equal noise