Tailoring an effective-one-body waveform model to extreme-mass-ratio inspirals: achieving full consistency with second-order gravitational self-force results and beyond

Author:

Angelica Albertini, Rossella Gamba, Alessandro Nagar, Sebastiano Bernuzzi

Keyword:

General Relativity and Quantum Cosmology, General Relativity and Quantum Cosmology (gr-qc)

journal:

date:

2023-10-19 16:00:00

Abstract

A recent study [Phys. Rev. D 106 (2022) 6, 064049] introduced a complete effective-one-body (EOB) model for extreme-mass-ratio-inspirals (EMRIs), which builds upon the TEOBResumS-Dali model, incorporates aligned spins (both on the primary and on the secondary) as well as orbital eccentricity and crucially relies on conservative first-order gravitational self-force (1GSF) results recasted within the resummed EOB potentials. A comparison of the quasi-circular, nonspinning version of this model with recently obtained waveforms at 2GSF accuracy prompted the improvement of the analytical content of the 0th-order post-adiabatic (0PA) EOB fluxes, both at infinity and through the black hole horizon, that enter the resummed radiation reaction force. In particular the infinity flux, including modes up to $\ell =8$, was extended to $3^{+19}$PN accuracy, meaning that 3PN comparable-mass terms are hybridized with higher PN test-particle terms up to 22PN relative order. Here, exploiting our gained awareness of the importance of the 0PA fluxes, we show that the EOB/GSF agreement can be further improved by also including the $3^{+19}$PN-accurate $\ell=9$ and $\ell=10$ modes in the flux at infinity. For a standard EMRI with mass ratio $q \equiv m_1/m_2 = 5 \times 10^4$ and $m_2 = 10 M_\odot$, the accumulated EOB/2GSF dephasing is $\lesssim $ rad for $\sim 1$ yr of evolution. We finally provide an efficient implementation of the model that includes both spin and eccentricity, paving the way for the systematic use of TEOBResumS in the construction of physically complete and accurate waveform templates for EMRIs.

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