2.5PN accurate waveform information for generic-planar-orbit binaries in effective one-body models
A. Placidi, G. Grignani, Troels Harmark, Marta Orselli, Sara Gliorio, Alessandro Nagar
Abstract
We provide the post-Newtonian (PN) waveform for binary systems in motion along generic planar orbits at 2.5PN accuracy, in terms of the dynamical variables of the effective one-body (EOB) formalism. In addition to the calculation of the higher-order terms for all the contributions to the waveform that have been already considered in previous avatars of EOB models, we also compute the EOB expression of the oscillatory memory terms. These are purely noncircular contributions, first appearing at 1.5PN order, that have been so far neglected in the EOB literature. This should foster their inclusion in EOB models and the definitive assessment of their role in shaping gravitational wave signals at infinity. To further promote the application of our results, we also derive associated noncircular factors according to the waveform factorization prescription of the noncircular EOB model TEOBResumS-DALI; the result is a set of ready-to-use noncircular factors that can be directly implemented as extra noncircular corrections in the waveform of TEOBResumS-DALI.