Effective-one-body waveforms for extreme-mass-ratio binaries: Consistency with second-order gravitational self-force quasicircular results and extension to nonprecessing spins and eccentricity

Understand

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 the secondary) as well as orbital eccentricity.

• The model extends TEOBResumS-Dal\'i for these binaries by (i) recasting conservative first-order gravitational self-force (1GSF) information in the resummed EOB potentials; (ii) employing a post-Newtonian (PN) $3^{+19}$PN-accurate (3PN comparable-mass terms hybridized with test-particle terms up to 22PN relative order) expression for the gravitational-wave flux at infinity; (iii) using an improved implementation of the horizon flux that better approximates its test-mass representation.
• With respect to our previous work [Phys.
• Rev.