Apparaît dans la collection : Balzan Conference on Open Issues in Gravitation

The effective-one-body (EOB) approach is a powerful analytical formalism apted ad describing the dynamics and waveform from coalescing compact binaries in full generality, from the quasi-adiabatic inspiral to plunge, merger and ringdown.EOB waveform are key for the analysis of gravitational wave data. In the first part of the talk I will briefly review the basic elements of the formalism and its use in the construction of the two currently widely used waveform model, SEOB and TEOB. Then I will streamline new theoretical perspective for: (i) the joint use of post-Minkowskian and post-Newtonian analytical results within the new Lagrange-EOB (LEOB) approach to describe the conservative part of the dynamics and (ii) a new use of black hole perturbation theory based on the mapping of the Teukolsky equation into the confluent Heun equation that allows us to identify new analytical, closed-form, structures that look promising to construct more accurate resummations for the EOB waveform and radiation reaction force.