English

# Item

ITEM ACTIONSEXPORT
Factorization and resummation: A new paradigm to improve gravitational wave amplitudes. III: the spinning test-body terms

Nagar, A., Messina, F., Kavanagh, C., Lukes-Gerakopoulos, G., Warburton, N., Bernuzzi, S., et al. (2019). Factorization and resummation: A new paradigm to improve gravitational wave amplitudes. III: the spinning test-body terms. Physical Review D, 100: 104056. doi:10.1103/PhysRevD.100.104056.

Item is

### Basic

show hide
Genre: Journal Article

### Files

show Files
hide Files
:
1907.12233.pdf (Preprint), 2MB
Name:
1907.12233.pdf
Description:
File downloaded from arXiv at 2019-09-12 09:38
Visibility:
Public
MIME-Type / Checksum:
application/pdf / [MD5]
-
-
:
PhysRevD.100.104056.pdf (Publisher version), 2MB

-
Name:
PhysRevD.100.104056.pdf
Description:
-
Visibility:
Restricted (Max Planck Institute for Gravitational Physics (Albert Einstein Institute), MPGR; )
MIME-Type / Checksum:
application/pdf
-
-
-

show

### Creators

show
hide
Creators:
Nagar, Alessandro, Author
Messina, Francesco, Author
Kavanagh, Chris1, Author
Lukes-Gerakopoulos, Georgios, Author
Warburton, Niels, Author
Bernuzzi, Sebastiano, Author
Harms, Enno, Author
Affiliations:
1Astrophysical and Cosmological Relativity, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, ou_1933290

### Content

show
hide
Free keywords: General Relativity and Quantum Cosmology, gr-qc
Abstract: We present new calculations of the energy flux of a spinning test-body on circular orbits around a Schwarzschild black hole at linear order in the particle spin. We compute the multipolar fluxes up to $\ell=m=6$ using two independent numerical solvers of theTeukolsky equation, one in the time domain and the other in the frequency domain. After linearization in the spin of the particle, we obtain an excellent agreement ($\sim 10^{-5}$) between the two numerical results.The calculation of the multipolar fluxes is also performed analytically (up to $\ell=7$) using the post-Newtonian (PN) expansion of the Teukolsky equation solution; each mode is obtained at 5.5PN order beyond the corresponding leading-order contribution. From the analytical fluxes we obtain the PN-expanded analytical waveform amplitudes. These quantities are then resummed using new procedures either based on the factorization of the orbital contribution (and resumming it independently from the spin-dependent factor) or on the factorization of the tail contribution solely for odd-parity multipoles. We compare these prescriptions and the resummation procedure proposed in Pan et al. [Phys. Rev. D 83 (2011) 064003] to the numerical data. We find that the new procedures significantly improve over the existing one that, notably, is inconsistent with the numerical data for $\ell+m=\text{odd}$ multipoles already at low orbital frequencies. Our study suggests that the approach to waveform resummation used in current effective-one-body-based waveform models should be modified to improve its robustness and accuracy all over the binary parameter space.

### Details

show
hide
Language(s):
Dates: 2019-07-292019-07-302019
Publication Status: Published in print
Pages: 33 pages, 7 figures. Submitted to Phys. Rev. D
Publishing info: -
Rev. Method: -
Identifiers: arXiv: 1907.12233
URI: http://arxiv.org/abs/1907.12233
DOI: 10.1103/PhysRevD.100.104056
Degree: -

show

show

show

### Source 1

show
hide
Title: Physical Review D
Other : Phys. Rev. D.
Source Genre: Journal
Creator(s):
Affiliations:
Publ. Info: Lancaster, Pa. : American Physical Society
Pages: - Volume / Issue: 100 Sequence Number: 104056 Start / End Page: - Identifier: ISSN: 0556-2821
CoNE: https://pure.mpg.de/cone/journals/resource/111088197762258