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

• DOI: 10.48550/arxiv.2310.13578
• Publication Date: 2023-01-01
• Authors: Angelica Albertini; Rossella Gamba; Alessandro Nagar; Sebastiano Bernuzzi
• Keywords: Mass ratio; Eccentricity (behavior)

We present a first complete implementation of an effective-one-body (EOB) model for extreme-mass-ratio inspirals (EMRIs) that incorporates aligned spins (on both the primary and secondary) as well orbital eccentricity. The extends TEOBResumS-Dal\'i these binaries by (i) recasting conservative first-order gravitational self-force (1GSF) information in resummed EOB potentials; (ii) employing post-Newtonian (PN) $3^{+19}$PN-accurate (3PN comparable-mass terms hybridized with test-particle up to 22PN relative order) expression gravitational-wave flux at infinity; (iii) using improved horizon better approximates its test-mass representation. With respect our previous work [Phys. Rev. D 106 (2022) 8, 084062], we demonstrate inclusion $\ell=9$ $\ell=10$ modes infinity significantly improves model's agreement second-order accurate GSF (2GSF) circular waveforms. For standard EMRI mass ratio $q \equiv m_1/m_2 = 5 \times 10^4$ $m_2 10 M_\odot$, accumulated EOB/2GSF dephasing is $\lesssim $ rad $\sim 1$ yr evolution, which consistent accuracy requirements EMRIs. also showcase generation eccentric spinning waveforms discuss future extensions towards physically