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Waveform models are essential for gravitational-wave (GW) detection andparameter estimation of coalescing compact-object binaries. More accuratemodels are required for the increasing sensitivity of current and future GWdetectors. The effective-one-body (EOB) formalism combines the post-Newtonian(PN) and small mass-ratio approximations with numerical-relativity results, andproduces highly accurate inspiral-merger-ringdown waveforms. In this paper, wederive the analytical precessing-spin two-body dynamics for the SEOBNRv5waveform model, which has been developed for the upcoming LIGO-Virgo-KAGRAobserving run. We obtain an EOB Hamiltonian that reduces to the exact KerrHamiltonian in the test-mass limit. It includes the full 4PN precessing-spininformation, and is valid for generic compact objects (i.e., for black holes orneutron stars). We also build an efficient and accurate EOB Hamiltonian thatincludes partial precessional effects, notably orbit-averaged in-plane spineffects for circular orbits, and derive 4PN-expanded precessing-spin equationsof motion, consistent with such an EOB Hamiltonian. The results were used tobuild the computationally-efficient precessing-spin multipolar SEOBNRv5PHMwaveform model.

Theoretical groundwork supporting the precessing-spin two-body dynamics of the effective-one-body waveform models SEOBNRv5