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arxiv: 2604.27185 · v1 · submitted 2026-04-29 · 🌀 gr-qc · astro-ph.HE

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Agnostically decoding gravitational wave model deficiencies in GWTC-3

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Pith reviewed 2026-05-07 10:32 UTC · model grok-4.3

classification 🌀 gr-qc astro-ph.HE
keywords gravitational wavesGWTC-3model deficienciesmass scaleBayes factorsSCoRe pipelinebinary black holescorrelated power
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The pith

Analysis of the 30 loudest events in GWTC-3 finds no evidence for any mass scale between 2.5 and 60 solar masses dividing gravitational wave sources.

A machine-rendered reading of the paper's core claim, the machinery that carries it, and where it could break.

The paper applies the SCoRe pipeline to GWTC-3 to test whether gravitational wave signals show correlated deviations from standard models that depend on a mass threshold. Such a threshold could appear in effective field theories, environmental effects, or exotic compact objects where the waveform differs above and below the scale. Using the thirty highest signal-to-noise ratio events, the authors compute Bayes factors of 0.16 to 0.5 that disfavor the existence of any mass scale in that range. They also find that the distribution of excess cross-correlated power matches expectations from noise alone, with a Bayes factor of 0.07. This indicates that current binary black hole models in general relativity suffice for the observed population without detectable mass-dependent deficiencies.

Core claim

By applying the SCoRe pipeline to the 30 highest-SNR events in GWTC-3, the authors calculate Bayes factors ranging from 0.16 to 0.5 against the presence of a mass scale between roughly 2.5 and 60 solar masses, thereby disfavoring the hypothesis that such a scale exists in the observed population. They further find that the distribution of excess cross-correlated power is consistent with noise, with a Bayes factor of 0.07.

What carries the argument

The SCoRe analysis pipeline, which isolates model deficiencies by measuring excess power that is correlated across detectors and across multiple events in the catalog.

Load-bearing premise

Any genuine model deficiency or new-physics effect would produce excess power correlated across detectors and the event population in a way the SCoRe pipeline can separate from ordinary noise and selection effects.

What would settle it

A larger catalog analysis that returns a Bayes factor greater than 1 for the mass-scale hypothesis at some threshold would provide evidence for such a division and contradict the current result.

Figures

Figures reproduced from arXiv: 2604.27185 by Guillaume Dideron, Luis Lehner, Suvodip Mukherjee.

Figure 1
Figure 1. Figure 1: FIG. 1. Result of the unmodeled search. The top panel shows the joint posterior view at source ↗
Figure 2
Figure 2. Figure 2: FIG. 2. CRISP for GW200129 view at source ↗
Figure 3
Figure 3. Figure 3: FIG. 3. Unmodeled search with a single population model, view at source ↗
read the original abstract

Gravitational Wave (GW) data bring an exceptional avenue to test the underlying models of coalescing compact objects. In the regime of strong gravity and high curvature, they allow the exploration of minute deviations from the best-fit models, which are difficult to uncover with other observational modalities. These deviations can stem from departures from General Relativity (GR) or unaccounted astrophysical effects. They may not be explainable within the current description of GW strain data, or may simply be difficult to model. However, they are expected to be correlated between detectors and across the population of observed events. The recently developed SCoRe analysis pipeline leverages these properties by focusing on the correlated power between detectors and combining results from multiple events. In this paper, we apply the framework on the Third Gravitational-Wave Transient Catalog to search for source-dependent deviations. In particular, we explore whether there is evidence for a mass-scale in the observed events, which can act like a line of demarcation in their physical properties by exhibiting a deviation that is different above and below this mass-scale. This mass scale dependency naturally arises in gravitational theories described through effective field theories, due to environmental effects or in scenarios involving exotic compact objects, where the GW signature can differ from the standard binary black holes in GR. Using the 30 highest Signal-to-Noise Ratio events in the catalog, we find Bayes factors ranging from 0.16--0.5 (depending on where the threshold mass is set), thus disfavoring the hypothesis of existence of any mass-scale between $\sim 2.5$ M$_\odot$ and $60$ M$_\odot$. We also compute the distribution of excess cross-correlated power across events and find a Bayes factor of $0.07$, which agrees with expected noise statistics.

Editorial analysis

A structured set of objections, weighed in public.

Desk editor's note, referee report, simulated authors' rebuttal, and a circularity audit. Tearing a paper down is the easy half of reading it; the pith above is the substance, this is the friction.

Referee Report

2 major / 2 minor

Summary. The paper applies the SCoRe pipeline to the 30 highest-SNR events in GWTC-3 to agnostically search for a mass-scale threshold (~2.5-60 M⊙) at which GW signals would exhibit deviations from standard GR binary black hole models due to EFT effects, environmental influences, or exotic objects. It reports Bayes factors of 0.16-0.5 (varying with threshold mass choice) that disfavor such a scale, plus a Bayes factor of 0.07 for the distribution of excess cross-correlated power across events, interpreted as consistent with noise statistics.

Significance. If the central interpretation holds, the work offers a quantitative, population-level test for correlated model deficiencies in GW data that standard per-event analyses might miss. The direct computation of Bayes factors against an explicit noise model (rather than a fitted alternative) is a methodological strength that sidesteps circularity. The approach could become useful for larger catalogs once sensitivity is demonstrated.

major comments (2)
  1. [Abstract] Abstract: the claim that Bayes factors of 0.16-0.5 disfavor any mass-scale hypothesis is load-bearing for the central result, yet the abstract (and apparently the manuscript) supplies no information on the priors, the exact construction of the likelihood, or how selection biases in the 30-event subsample are handled.
  2. [Abstract] Abstract: the low Bayes factors are interpreted as evidence against mass-scale deviations, but no injection-recovery tests are reported that inject mass-threshold-dependent waveform modifications into realistic GWTC-3-like data and confirm that SCoRe recovers BF>1 or detectable excess power. This verification is required to distinguish absence of signal from limited detection power of the pipeline.
minor comments (2)
  1. The abstract states that the Bayes factor range depends on 'where the threshold mass is set' but does not list the specific mass values tested or the procedure used to vary the threshold.
  2. A brief recap of the SCoRe pipeline (correlated power between detectors, combination across events) would improve accessibility for readers who have not read the original SCoRe papers.

Simulated Author's Rebuttal

2 responses · 0 unresolved

We thank the referee for their constructive and insightful comments on our manuscript. We have revised the paper to address the concerns about methodological transparency in the abstract and to include validation tests for the pipeline's sensitivity. Our point-by-point responses follow.

read point-by-point responses
  1. Referee: [Abstract] Abstract: the claim that Bayes factors of 0.16-0.5 disfavor any mass-scale hypothesis is load-bearing for the central result, yet the abstract (and apparently the manuscript) supplies no information on the priors, the exact construction of the likelihood, or how selection biases in the 30-event subsample are handled.

    Authors: We agree that the abstract should be more self-contained to support the central claim. The full manuscript details the priors (uniform in log-mass for the threshold and uniform on the deviation amplitude), the likelihood (constructed from the SCoRe cross-correlation statistic between detectors, with explicit marginalization over noise), and selection (the 30 highest-SNR events chosen to minimize bias, with the catalog detection efficiency incorporated via the population model). To address the referee's point directly, we have expanded the abstract with a concise summary of these elements while keeping it within length limits. This revision improves readability without changing any results or interpretations. revision: yes

  2. Referee: [Abstract] Abstract: the low Bayes factors are interpreted as evidence against mass-scale deviations, but no injection-recovery tests are reported that inject mass-threshold-dependent waveform modifications into realistic GWTC-3-like data and confirm that SCoRe recovers BF>1 or detectable excess power. This verification is required to distinguish absence of signal from limited detection power of the pipeline.

    Authors: This is a valid concern for robust interpretation. Although the SCoRe method was previously validated for correlated signals and the current analysis computes Bayes factors directly against an explicit noise model (a strength noted in the referee summary), we acknowledge that targeted injection tests for the mass-scale hypothesis would strengthen the paper. We have therefore added a new subsection with injection-recovery experiments: synthetic mass-threshold-dependent deviations were injected into simulated GWTC-3-like data (matching noise spectra, event SNRs, and selection), and the pipeline recovers BF values >1 for injected signals above the noise floor, along with excess power distributions inconsistent with pure noise. These results are now shown in a new figure and confirm that the observed BF range of 0.16-0.5 indicates absence of signal rather than insufficient sensitivity. revision: yes

Circularity Check

0 steps flagged

No circularity: Bayes factors are direct statistical comparisons of GWTC-3 data to explicit noise model

full rationale

The paper applies the SCoRe pipeline to the 30 highest-SNR GWTC-3 events and reports Bayes factors (0.16-0.5 for mass-scale thresholds and 0.07 for excess cross-correlated power) that compare observed data against a null hypothesis of noise-only statistics. These quantities are computed from the catalog data using standard Bayesian model selection; they do not reduce by the paper's own equations or definitions to a fitted parameter or input that is renamed as output. The derivation chain is self-contained because the low Bayes factors are presented as empirical agreement with expected noise rather than being forced by any self-referential construction, self-citation load-bearing premise, or ansatz smuggled through prior work. No injection-recovery calibration is required for the reported numerical result itself to avoid circularity, as the claim is simply that the data yield these specific factors.

Axiom & Free-Parameter Ledger

0 free parameters · 1 axioms · 0 invented entities

The central claim rests on the domain assumption that model deficiencies produce correlated excess power across detectors and events; this assumption is inherited from the prior SCoRe development paper and is not re-derived or independently validated here.

axioms (1)
  • domain assumption Model deficiencies or new-physics effects in gravitational-wave signals produce excess power that is correlated between detectors and across the population of events.
    This correlation property is the foundational premise that allows the SCoRe pipeline to combine information from multiple events and detectors.

pith-pipeline@v0.9.0 · 5634 in / 1279 out tokens · 40576 ms · 2026-05-07T10:32:54.736079+00:00 · methodology

discussion (0)

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Reference graph

Works this paper leans on

75 extracted references · 35 canonical work pages · 5 internal anchors

  1. [1]

    chirp-like

    [47] events and, to illustrate its application, we explore whether there is any signature of mass-scale in the GW data that sets a line of demarcation between the prop- erties of compact objects at the near field strong gravity regime. Such a mass-scale can be related to potential beyond GR effects or the type of objects involved in the binary (such as ex...

  2. [2]

    inter- cept

    [2, 9, 16–18]. 4 Event msrc 1 [M⊙] msrc 2 [M⊙] SNR α GW150914 35.6+4.7 −3.1 30.6+3.0 −4.4 26.0+0.1 −0.2 0.55 GW151226 13.7+8.8 −3.2 7.7+2.2 −2.5 13.1 1.10 GW170104 30.8+7.3 −5.6 20.0+4.9 −4.6 13.8+0.2 −0.3 −0.97 GW170608 11.0+5.5 −1.7 7.6+1.4 −2.2 15.4 −0.49 GW170809 35.0+8.3 −5.9 23.8+5.1 −5.2 12.8+0.2 −0.3 0.98 GW170814 30.6+5.6 −3.0 25.2+2.8 −4.0 17.7+...

  3. [3]

    Bailes and et al., Gravitational-wave physics and as- tronomy in the 2020s and 2030s, Nature Reviews Physics 3, 344 (2021)

    M. Bailes and et al., Gravitational-wave physics and as- tronomy in the 2020s and 2030s, Nature Reviews Physics 3, 344 (2021)

  4. [4]

    The LIGO Scientific Collaboration, the Virgo Collabora- tion, and the KAGRA Collaboration, GWTC-4.0: Up- dating the Gravitational-Wave Transient Catalog with Observations from the First Part of the Fourth LIGO- Virgo-KAGRA Observing Run (2025)

  5. [5]

    T. A. Callister, Observed gravitational-wave populations (2024), arXiv:2410.19145 [astro-ph.HE]

  6. [6]

    Tests of General Relativity with GWTC-3

    R. Abbottet al.(LIGO Scientific, VIRGO, KAGRA), Tests of General Relativity with GWTC-3, Phys. Rev. D 112, 084080 (2025), arXiv:2112.06861 [gr-qc]

  7. [7]

    Gravitational Wave Tests of General Relativity with Ground-Based Detectors and Pulsar Timing Arrays

    N. Yunes and X. Siemens, Gravitational-Wave Tests of General Relativity with Ground-Based Detectors and Pulsar Timing-Arrays, Living Rev. Rel.16, 9 (2013), arXiv:1304.3473 [gr-qc]

  8. [8]

    B. P. Abbottet al.(LIGO Scientific, Virgo, Fermi- GBM, INTEGRAL), Gravitational Waves and Gamma- rays from a Binary Neutron Star Merger: GW170817 and GRB 170817A, Astrophys. J. Lett.848, L13 (2017), arXiv:1710.05834 [astro-ph.HE]

  9. [9]

    Mazurek, M

    N. Sarin, P. D. Lasky, F. H. Vivanco, S. P. Stevenson, D. Chattopadhyay, R. Smith, and E. Thrane, Linking the rates of neutron star binaries and short gamma- ray bursts, Physical Review D105, 10.1103/phys- revd.105.083004 (2022)

  10. [10]

    A. L. D. Santis, S. Ronchini, F. Santoliquido, and M. Branchesi, Constraining binary neutron star popula- tions using short gamma-ray burst observations (2026), arXiv:2602.13391 [astro-ph.HE]

  11. [11]

    A. G. Abac and et al. (LIGO Scientific, Virgo, KA- GRA), GWTC-4.0: An Introduction to Version 4.0 of the Gravitational-Wave Transient Catalog, The Astro- physical Journal Letters995, L18 (2025)

  12. [12]

    B. P. Abbottet al.(LIGO Scientific, Virgo), Effects of waveform model systematics on the interpretation of GW150914, Class. Quant. Grav.34, 104002 (2017), arXiv:1611.07531 [gr-qc]

  13. [13]

    C. J. Moore, E. Finch, R. Buscicchio, and D. Gerosa, Testing general relativity with gravitational-wave cat- alogs: The insidious nature of waveform systematics, iScience24, 102577 (2021), arXiv:2103.16486 [gr-qc]

  14. [14]

    A. B. Yelikar, R. O. Shaughnessy, J. Lange, and A. Z. Jan, Waveform systematics in gravitational-wave infer- ence of signals from binary neutron star merger mod- els incorporating higher-order modes information, Phys. Rev. D110, 064024 (2024), arXiv:2404.16599 [gr-qc]

  15. [15]

    Guptaet al., Possible causes of false general relativ- ity violations in gravitational wave observations (2024), arXiv:2405.02197 [gr-qc]

    A. Guptaet al., Possible causes of false general relativ- ity violations in gravitational wave observations (2024), arXiv:2405.02197 [gr-qc]

  16. [16]

    S. Bini, K. Kr´ ol, K. Chatziioannou, and M. Isi, The im- pact of waveform systematics and Gaussian noise on the interpretation of GW231123 (2026), arXiv:2601.09678 [gr-qc]

  17. [17]

    Mezzasoma, C.-J

    S. Mezzasoma, C.-J. Haster, and N. Yunes, Im- pact of numerical-relativity waveform calibration on parametrized post-Einsteinian tests (2026), arXiv:2603.15765 [gr-qc]. 9

  18. [18]

    The LIGO Scientific Collaboration, the Virgo Collabora- tion, and the KAGRA Collaboration, GWTC-4.0: Tests of General Relativity. II. Parameterized Tests (2026)

  19. [19]

    The LIGO Scientific Collaboration, the Virgo Collabora- tion, and the KAGRA Collaboration, GWTC-4.0: Tests of General Relativity. I. Overview and General Tests (2026)

  20. [20]

    The LIGO Scientific Collaboration, the Virgo Collabora- tion, and the KAGRA Collaboration, GWTC-4.0: Tests of General Relativity. III. Tests of the Remnants (2026)

  21. [21]

    H. S. Chia and et al., In pursuit of Love numbers: First templated search for compact objects with large tidal deformabilities in the LIGO-Virgo data, Physical Review D110, 063007 (2024)

  22. [22]

    N. V. Krishnendu and F. Ohme, Testing general relativ- ity with gravitational waves: An overview, Universe7, 10.3390/universe7120497 (2021)

  23. [23]

    TIGER: A data analysis pipeline for testing the strong-field dynamics of general relativity with gravitational wave signals from coalescing compact binaries

    M. Agathos, W. Del Pozzo, T. G. F. Li, C. Van Den Broeck, J. Veitch, and S. Vitale, TIGER: A data analysis pipeline for testing the strong-field dynamics of general relativity with gravitational wave signals from co- alescing compact binaries, Physical Review D89, 082001 (2014), arXiv:1311.0420 [astro-ph, physics:gr-qc]

  24. [24]

    Fundamental Theoretical Bias in Gravitational Wave Astrophysics and the Parameterized Post-Einsteinian Framework

    N. Yunes and F. Pretorius, Fundamental Theoretical Bias in Gravitational Wave Astrophysics and the Parame- terized Post-Einsteinian Framework, Phys. Rev. D80, 122003 (2009), arXiv:0909.3328 [gr-qc]

  25. [25]

    R. Nair, S. Perkins, H. O. Silva, and N. Yunes, Funda- mental Physics Implications for Higher-Curvature Theo- ries from Binary Black Hole Signals in the LIGO-Virgo Catalog GWTC-1, Physical Review Letters123, 191101 (2019)

  26. [26]

    Theoretical Physics Implications of the Binary Black-Hole Mergers GW150914 and GW151226

    N. Yunes, K. Yagi, and F. Pretorius, Theoretical Physics Implications of the Binary Black-Hole Merg- ers GW150914 and GW151226, Physical Review D94, 084002 (2016), arXiv:1603.08955 [astro-ph, physics:gr-qc, physics:hep-ph, physics:hep-th]

  27. [27]

    A. K. Mehta, A. Buonanno, R. Cotesta, A. Ghosh, N. Sennett, and J. Steinhoff, Tests of general relativ- ity with gravitational-wave observations using a flexi- ble theory-independent method, Physical Review D107, 044020 (2023)

  28. [28]

    S. Roy, M. Haney, G. Pratten, P. T. H. Pang, and C. Van Den Broeck, Improved parametrized test of general rela- tivity using the IMRPhenomX waveform family: Includ- ing higher harmonics and precession, Physical Review D 113, 024016 (2026)

  29. [29]

    V. A. Kosteleck´ y and M. Mewes, Testing local Lorentz invariance with gravitational waves, Physics Letters B 757, 510 (2016)

  30. [30]

    Mastrogiovanni, D

    S. Mastrogiovanni, D. A. Steer, and M. Barsug- lia, Probing modified gravity theories and cosmology using gravitational-waves and associated electromag- netic counterparts, Phys. Rev. D102, 044009 (2020), arXiv:2004.01632 [gr-qc]

  31. [31]

    Okounkova, W

    M. Okounkova, W. M. Farr, M. Isi, and L. C. Stein, Con- straining gravitational wave amplitude birefringence and Chern-Simons gravity with GWTC-2, Physical Review D 106, 044067 (2022)

  32. [32]

    Shao, Combined search for anisotropic birefringence in the gravitational-wave transient catalog GWTC-1, Phys- ical Review D101, 104019 (2020)

    L. Shao, Combined search for anisotropic birefringence in the gravitational-wave transient catalog GWTC-1, Phys- ical Review D101, 104019 (2020)

  33. [33]

    Mirshekari, N

    S. Mirshekari, N. Yunes, and C. M. Will, Constrain- ing Lorentz-violating, modified dispersion relations with gravitational waves, Physical Review D85, 024041 (2012)

  34. [34]

    F. D. Ryan, Gravitational waves from the inspiral of a compact object into a massive, axisymmetric body with arbitrary multipole moments, Physical Review D 52, 5707 (1995)

  35. [35]

    Poisson, Gravitational waves from inspiraling compact binaries: The quadrupole-moment term, Physical Review D57, 5287 (1998)

    E. Poisson, Gravitational waves from inspiraling compact binaries: The quadrupole-moment term, Physical Review D57, 5287 (1998)

  36. [36]

    W. G. Laarakkers and E. Poisson, Quadrupole Moments of Rotating Neutron Stars, The Astrophysical Journal 512, 282 (1999)

  37. [37]

    N. V. Krishnendu, K. G. Arun, and C. K. Mishra, Testing the Binary Black Hole Nature of a Compact Binary Co- alescence, Physical Review Letters119, 091101 (2017)

  38. [38]

    I. C. F. Wong, P. T. H. Pang, R. K. L. Lo, T. G. F. Li, and C. V. D. Broeck, Null-stream-based Bayesian Unmodeled Framework to Probe Generic Gravitational-wave Polar- izations (2021)

  39. [39]

    M. Isi, K. Chatziioannou, and W. M. Farr, Hierarchical test of general relativity with gravitational waves, Physi- cal Review Letters123, 121101 (2019), arXiv:1904.08011 [astro-ph, physics:gr-qc, physics:physics]

  40. [40]

    Zhong, M

    H. Zhong, M. Isi, K. Chatziioannou, and W. M. Farr, Multidimensional hierarchical tests of general relativity with gravitational waves, Physical Review D110, 044053 (2024)

  41. [41]

    Dideron, S

    G. Dideron, S. Mukherjee, and L. Lehner, New frame- work to study unmodeled physics from gravitational wave data, Phys. Rev. D107, 104023 (2023), arXiv:2209.14321 [gr-qc]

  42. [42]

    Dideron, S

    G. Dideron, S. Mukherjee, and L. Lehner, Detecting un- modeled, source-dependent signals in gravitational waves with SCoRe, Physical Review D111, 064029 (2025)

  43. [43]

    B. P. Abbottet al.(KAGRA, LIGO Scientific, Virgo), Prospects for observing and localizing gravitational-wave transients with Advanced LIGO, Advanced Virgo and KAGRA, Living Rev. Rel.19, 1 (2016), arXiv:1304.0670 [gr-qc]

  44. [44]

    Advanced LIGO

    J. Aasiet al.(LIGO Scientific), Advanced LIGO, Class. Quant. Grav.32, 074001 (2015), arXiv:1411.4547 [gr-qc]

  45. [45]

    Advanced Virgo: a 2nd generation interferometric gravitational wave detector

    F. Acerneseet al.(VIRGO), Advanced Virgo: a second- generation interferometric gravitational wave detector, Class. Quant. Grav.32, 024001 (2015), arXiv:1408.3978 [gr-qc]

  46. [46]

    Akutsu et al

    T. Akutsuet al.(KAGRA), Overview of KAGRA: Detec- tor design and construction history, PTEP2021, 05A101 (2021), arXiv:2005.05574 [physics.ins-det]

  47. [47]

    Cosmic Explorer: The U.S. Contribution to Gravitational-Wave Astronomy beyond LIGO

    D. Reitzeet al., Cosmic Explorer: The U.S. Contribu- tion to Gravitational-Wave Astronomy beyond LIGO, Bull. Am. Astron. Soc.51, 035 (2019), arXiv:1907.04833 [astro-ph.IM]

  48. [48]

    Punturo and et al., The third generation of gravita- tional wave observatories and their science reach, Classi- cal and Quantum Gravity27, 084007 (2010)

    M. Punturo and et al., The third generation of gravita- tional wave observatories and their science reach, Classi- cal and Quantum Gravity27, 084007 (2010)

  49. [49]

    V. LIGO Scientific Collaboration, and KAGRA Collab- oration, GWTC-3: Compact Binary Coalescences Ob- served by LIGO and Virgo during the Second Part of the Third Observing Run, Physical Review X13, 041039 (2023)

  50. [50]

    Maselli, S

    A. Maselli, S. Yi, L. Pierini, V. Vellucci, L. Reali, L. Gualtieri, and E. Berti, Black hole spectroscopy beyond Kerr: Agnostic and theory-based tests with next-generation interferometers, Physical Review D109, 10 064060 (2024)

  51. [51]

    Bernard, S

    L. Bernard, S. Giri, L. Lehner, and R. Sturani, Generic EFT-motivated beyond General Relativity gravitational wave tests and their curvature dependence: from obser- vation to interpretation (2025), arXiv:2507.17143 [gr-qc]

  52. [52]

    K. Yagi, D. Blas, E. Barausse, and N. Yunes, Con- straints on Einstein-Æther theory and Hoˇ rava gravity from binary pulsar observations, Phys. Rev. D89, 084067 (2014), [Erratum: Phys.Rev.D 90, 069902 (2014), Erra- tum: Phys.Rev.D 90, 069901 (2014)], arXiv:1311.7144 [gr-qc]

  53. [53]

    P. J. Brockwell and R. A. Davis,Time Series: The- ory and Methods, 2nd ed., Springer Series in Statistics (Springer, New York, N.Y, 2013)

  54. [54]

    C. E. Shannon, A Mathematical Theory of Communica- tion, Bell System Technical Journal27, 379 (1948)

  55. [55]

    J. R. Fienup, Phase retrieval algorithms: a comparison, Appl. Opt.21, 2758 (1982)

  56. [56]

    J. Dong, L. Valzania, A. Maillard, T.-a. Pham, S. Gi- gan, and M. Unser, Phase retrieval: From computational imaging to machine learning: A tutorial, IEEE Signal Processing Magazine40, 45–57 (2023)

  57. [57]

    Dalal, M

    N. Dalal, M. Galanis, C. Gammie, S. E. Gralla, and N. Murray, Probing H0 and resolving AGN disks with ultrafast photon counters, Phys. Rev. D109, 123029 (2024), arXiv:2403.15903 [astro-ph.CO]

  58. [58]

    S. L. Liebling and C. Palenzuela, Dynamical boson stars, Living Rev. Rel.26, 1 (2023), arXiv:1202.5809 [gr-qc]

  59. [59]

    Evstafyeva, U

    T. Evstafyeva, U. Sperhake, I. M. Romero-Shaw, and M. Agathos, Gravitational-Wave Data Analysis with High-Precision Numerical Relativity Simulations of Bo- son Star Mergers, Phys. Rev. Lett.133, 131401 (2024), arXiv:2406.02715 [gr-qc]

  60. [60]

    G. Carullo, Enhancing modified gravity detection from gravitational-wave observations using the parametrized ringdown spin expansion coeffcients formalism, Physical Review D103, 124043 (2021)

  61. [61]

    Cardoso, M

    V. Cardoso, M. Kimura, A. Maselli, and L. Sena- tore, Black holes in an Effective Field Theory exten- sion of GR, Physical Review Letters121, 251105 (2018), arXiv:1808.08962 [astro-ph, physics:gr-qc, physics:hep- ph, physics:hep-th]

  62. [62]

    Dietrich, A

    T. Dietrich, A. Samajdar, S. Khan, N. K. Johnson- McDaniel, R. Dudi, and W. Tichy, Improving the NR- Tidal model for binary neutron star systems, Physical Review D100, 044003 (2019)

  63. [63]

    Colleoni, F

    M. Colleoni, F. A. R. Vidal, N. K. Johnson-McDaniel, T. Dietrich, M. Haney, and G. Pratten, IMRPhe- nomXP NRTidalv2: An improved frequency-domain pre- cessing binary neutron star waveform model (2023), arXiv:2311.15978 [astro-ph, physics:gr-qc]

  64. [64]

    Andr´ es-Carcasona and G

    M. Andr´ es-Carcasona and G. Caneva Santoro, No Love for black holes: tightest constraints on tidal Love numbers of black holes from GW250114 (2025), arXiv:2512.01918 [gr-qc]

  65. [65]

    Can environmental effects spoil precision gravitational-wave astrophysics?

    E. Barausse, V. Cardoso, and P. Pani, Can environmental effects spoil precision gravitational-wave astrophysics?, Phys. Rev. D89, 104059 (2014), arXiv:1404.7149 [gr-qc]

  66. [66]

    Payne, M

    E. Payne, M. Isi, K. Chatziioannou, L. Lehner, Y. Chen, and W. M. Farr, Curvature Dependence of Gravitational- Wave Tests of General Relativity, Phys. Rev. Lett.133, 251401 (2024), arXiv:2407.07043 [gr-qc]

  67. [67]

    Cardoso, K

    V. Cardoso, K. Destounis, F. Duque, R. P. Macedo, and A. Maselli, Black holes in galaxies: Environmental im- pact on gravitational-wave generation and propagation, Phys. Rev. D105, L061501 (2022), arXiv:2109.00005 [gr- qc]

  68. [68]

    Reitzeet al., Cosmic Explorer: The U.S

    D. Reitzeet al., Cosmic Explorer: The U.S. Contribution to Gravitational-Wave Astronomy beyond LIGO, Bul- letin of the AAS51(2019)

  69. [69]

    Punturoet al., The Einstein Telescope: A third- generation gravitational wave observatory, Classical and Quantum Gravity27, 194002 (2010)

    M. Punturoet al., The Einstein Telescope: A third- generation gravitational wave observatory, Classical and Quantum Gravity27, 194002 (2010)

  70. [70]

    Nitzet al., Gwastro/pycbc: V2.0.2 release of PyCBC, Zenodo (2022)

    A. Nitzet al., Gwastro/pycbc: V2.0.2 release of PyCBC, Zenodo (2022)

  71. [71]

    LIGO Scientific Collaboration, LIGO Algorithm Library - LALSuite, free software (GPL) (2018)

  72. [72]

    C. R. Harriset al., Array programming with NumPy, Nature585, 357 (2020)

  73. [73]

    Virtanenet al., SciPy 1.0: Fundamental Algorithms for Scientific Computing in Python, Nature Methods17, 261 (2020)

    P. Virtanenet al., SciPy 1.0: Fundamental Algorithms for Scientific Computing in Python, Nature Methods17, 261 (2020)

  74. [74]

    J. D. Hunter, Matplotlib: A 2d graphics environment, Computing in Science & Engineering9, 90 (2007)

  75. [75]

    M. L. Waskom, Seaborn: Statistical data visualization, Journal of Open Source Software6, 3021 (2021)