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A waveform model for the missing quadrupole mode from black hole coalescence: memory effect and ringdown of the $(\ell=2,m=0)$ spherical harmonic

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arxiv 2405.17302 v2 pith:TYBFW245 submitted 2024-05-27 gr-qc

Maria Rosselló-Sastre , Sascha Husa , Sayantani Bera This is my paper · ORCID
classification gr-qc
keywords modelmoderingdownwaveformsbinaryblackcoalescencecomputationally
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

In this paper we describe a model for the $(\ell=2, m=0)$ spherical harmonic mode of the gravitational wave signal emitted by the coalescence of binary black holes, in particular, spin-aligned systems. This mode can be viewed as consisting of two components, gravitational wave memory and quasi-normal ringdown, which are both included in our model. Depending on the parameters of the binary and the sensitivity curve of the detector, but in particular for high masses, the ringdown part can contribute significantly to the signal-to-noise ratio. The model is constructed using the methods of the phenomenological waveforms program, and is calibrated to public numerical relativity data from the Simulating eXtreme Spacetimes (SXS) waveforms catalog, with the analytical results derived from the Bondi-Metzner-Sachs (BMS) balance laws. The code has been implemented as an extension to the computationally efficient IMRPhenomTHM model, it can therefore be used for computationally expensive applications such as Bayesian parameter estimation. The region of validity of our model in the parameter space is given by: $q\leq10$ and $\chi_{1},\chi_{2}\in[-1,1]$, and no restrictions apply in terms of the length of the waveforms.

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Cited by 4 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Advancing the Effective-One-Body Framework in the Test-Mass Limit

    gr-qc 2026-03 conditional novelty 6.0 of 10

    SEOB-TML cuts dephasing by up to an order of magnitude in the test-mass limit by Q-factorizing the flux (including horizon absorption) and by modeling mode mixing with extracted QNM coefficients.

  2. A stepping stone toward detecting gravitational wave memory: a cumulative analysis with the full $(\ell=2, m=0)$ spherical harmonic using events from GWTC-4.0 and GWTC-5.0

    gr-qc 2026-07 conditional novelty 5.5 of 10

    Cumulative log10 Bayes factor of 1.38±0.79 favors the full (2,0) mode in GWTC-4.0; decisive evidence is projected to need ~166 events under optimistic assumptions.

  3. Revisiting GW150914 with a non-planar, eccentric waveform model

    gr-qc 2025-05 conditional novelty 5.0 of 10

    Using a waveform model that includes both eccentricity and spin precession, the authors confirm GW150914 was a quasi-circular, slowly spinning black hole merger, with eccentricity below 0.08 at 15 Hz.

  4. PhenomXPNR: An improved gravitational wave model linking precessing inspirals and NR-calibrated merger-ringdown

    gr-qc 2025-07 conditional novelty 4.0 of 10

    PhenomXPNR is a fast frequency-domain gravitational-wave template for spinning black-hole mergers that combines post-Newtonian inspiral precession with numerical-relativity-calibrated merger and ringdown.

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