Radiation-reaction force and multipolar waveforms for eccentric, spin-aligned binaries in the effective-one-body formalism

Khalil, Mohammed M.; Buonanno, A.; Steinhoff, Jan; Vines, Justin

doi:10.1103/physrevd.104.024046

Cited by 46 publications

(42 citation statements)

References 138 publications

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“…More generally, radiation-reaction effects will be required to incorporate the dissipative dynamics in semi-analytic models such as the EOB (see e.g. [134][135][136][137][138]) and will be crucial to develop accurate templates to make the most of future gravitational wave astronomy.…”

Section: Jhep11(2021)228mentioning

confidence: 99%

Radiated momentum in the post-Minkowskian worldline approach via reverse unitarity

Riva

Vernizzi

2021

J. High Energ. Phys.

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We compute the four-momentum radiated during the scattering of two spinless bodies, at leading order in the Newton’s contant G and at all orders in the velocities, using the Effective Field Theory worldline approach. Following [1], we derive the conserved stress-energy tensor linearly coupled to gravity generated by localized sources, at leading and next-to-leading order in G, and from that the classical probability amplitude of graviton emission. The total emitted momentum is obtained by phase-space integration of the graviton momentum weighted by the modulo squared of the radiation amplitude. We recast this as a two-loop integral that we solve using techniques borrowed from particle physics, such as reverse unitarity, reduction to master integrals by integration-by-parts identities and canonical differential equations. The emitted momentum agrees with recent results obtained by other methods. Our approach provides an alternative way of directly computing radiated observables in the post-Minkowskian expansion without going through the classical limit of scattering amplitudes.

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Section: Jhep11(2021)228mentioning

confidence: 99%

Radiated momentum in the post-Minkowskian worldline approach via reverse unitarity

Riva

Vernizzi

2021

J. High Energ. Phys.

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“…Motivated by recent observational hints for eccentric and hyperbolic binary black hole mergers in some LIGO-Virgo events [1][2][3] and by future prospect of detecting binary sources on generic orbits with LISA [4][5][6], the analytical relativity community has intensified the efforts in building up accurate gravitational-wave (GW) models for noncircularized coalescing compact binaries [7][8][9][10][11][12][13][14][15][16][17][18][19][20][21]. Among the possible approaches, the effective-one-body (EOB) framework [22][23][24][25][26] offers a theoretically complete method for a unified description of different classes of astrophysical binaries, from the comparable masses to the intermediate and extreme mass-ratio regimes, and for incorporating the fast motion and ringdown dynamics.…”

Section: Introductionmentioning

confidence: 99%

“…[20] for (mild) eccentricities, no dedicated study of the QC radiation reaction in eccentric inspirals was undertaken. Reference [19] computed noncircular corrections up to 2PN order in the waveform that, once incorporated into the QC waveform, constitute another possible prescription for the EOB radiation reaction. We refer to this prescription as QC2PN.…”

Section: Introductionmentioning

confidence: 99%

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Assessment of Effective-One-Body Radiation Reactions for Generic Planar Orbits

Albanesi,

Nagar,

Bernuzzi

et al. 2022

Preprint

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In this paper we assess the performances of different analytical prescriptions for the effectiveone-body (EOB) radiation reaction along generic planar orbits using exact numerical result in the test-mass limit. We consider three prescriptions put forward in the recent literature: (i) the quasicircular prescription (QC), (ii) the QC with 2 post-Newtonian noncircular corrections (QC2PN), (iii) the QC corrected by the noncircular Newtonian prefactor (NCN). The analytical fluxes are then compared against the exact fluxes that are computed by solving the Teukolsky equation with a testmass source in geodesic motion. We find that the NCN prescription is the most accurate for both eccentric and hyperbolic orbits and it is in robust agreement also for large values of the eccentricity. This result carries over to the comparable masses, as we discuss for a numerical-relativity (NR) case study. We also demonstrate that, while the EOB/NR waveform unfaithfulness is a necessary check for the precision of EOB models, the direct comparison of EOB/NR fluxes is a more stringent and informative test to select the best prescription. Finally, we propose an improved NCN2PN radiation reaction that includes noncircular 2PN corrections, in resummed form, as a further multiplicative contribution and that is valid for any mass ratio.

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“…Thereby, extending each approximation's domain of validity and improving the inspiral-merger-ringdown waveforms. EOB models have been constructed for nonspinning [10,[138][139][140][141][142], spinning [143][144][145][146][147][148][149][150][151][152][153][154][155][156][157][158], and eccentric binaries [159][160][161][162]. In addition, information from the post-Minkowskian [54,55,163,164] and the small mass-ratio approximations [165][166][167][168] have been incorporated in EOB Hamiltonians.…”

Section: Introductionmentioning

confidence: 99%

Gravitational spin-orbit dynamics at the fifth-and-a-half post-Newtonian order

Khalil

2021

Preprint

Self Cite

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Accurate waveform models are crucial for gravitational-wave data analysis, and since spin has a significant effect on the binary dynamics, it is important to improve the spin description in these models. In this paper, we derive the spin-orbit (SO) coupling at the fifth-and-a-half post-Newtonian (5.5PN) order. The method we use splits the conservative dynamics into local and nonlocal-in-time parts, then relates the local-in-time part to gravitational self-force results by exploiting the simple mass-ratio dependence of the post-Minkowskian expansion of the scattering angle. We calculate the nonlocal contribution to the 5.5PN SO dynamics to eighth order in the small-eccentricity expansion for bound orbits, and to leading order in the large-eccentricity expansion for unbound orbits. For the local contribution, we obtain all the 5.5PN SO coefficients from first-order self-force results for the redshift and spin-precession invariants, except for one unknown that could be fixed in the future by second-order self-force results. However, by incorporating our 5.5PN results in the effective-onebody formalism and comparing its binding energy to numerical relativity, we find that the remaining unknown has a small effect on the SO dynamics, demonstrating an improvement in accuracy at that order.

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Radiation-reaction force and multipolar waveforms for eccentric, spin-aligned binaries in the effective-one-body formalism

Cited by 46 publications

References 138 publications

Radiated momentum in the post-Minkowskian worldline approach via reverse unitarity

Radiated momentum in the post-Minkowskian worldline approach via reverse unitarity

Assessment of Effective-One-Body Radiation Reactions for Generic Planar Orbits

Gravitational spin-orbit dynamics at the fifth-and-a-half post-Newtonian order

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