Radiation-reaction correction to scattering binary dynamics at the next-to-leading post-Newtonian order

We compute the next-to-leading-order radiation-reaction modification to the harmonic coordinate quasi-Keplerian parametrization of the binary dynamics, the two bodies undergoing a scattering process. The solution for the radiation-reaction corrections to the orbital parameters is examined both in the time domain (exact results) and in the frequency domain (results presented in the limit of large angular momentum, i.e., as a post-Minkowskian series expansion). The knowledge of the radiation-reaction corrected orbit is a key ingredient for the calculation of the fractional 3.5 post-Newtonian corrections to the radiative losses as well as to the radiative multipole moments needed to build up the waveform at the same accuracy.