Spin-orbit contribution to radiative losses for spinning binaries with aligned spins

We compute the leading order contribution to radiative losses in the case of spinning binaries with alignedspins due to their spin-orbit interaction. The orbital average along hyperboliclike orbits is taken through anappropriate spin-orbit modification to the quasi-Keplerian parametrization for nonspinning bodies, whichmaintains the same functional form, but with spin-dependent orbital elements. We perform consistencychecks with existing post-Newtonian-based and post-Minkowskian (PM)-based results. In the former case,we compare our expressions for both radiated energy and angular momentum with those obtained in [G. Choet al., From boundary data to bound states. Part III. Radiative effects,J. High Energy Phys. 04 (2022) 154] byapplying the boundary-to-bound correspondence to known results for ellipticlike orbits, finding agreement.The linear momentum loss is instead newly computed here. In the latter case, we also find agreement with thelow-velocity limit of recent calculations of the total radiated energy, angular momentum and linearmomentum in the framework of an extension of the worldline quantum field theory approach to the classicalscattering of spinning bodies at the leading PM order [G. U. Jakobsen et al., Gravitational Bremsstrahlungand Hidden Supersymmetry of Spinning Bodies, Phys. Rev. Lett. 128, 011101 (2022), M. M. Riva et al.,Gravitational bremsstrahlung from spinning binaries in the post-Minkowskian expansion, Phys. Rev. D 106,044013 (2022)]. We get exact expressions of the radiative losses in terms of the orbital elements, even if theyare at the leading post-Newtonian order, so that their expansion for large values of the eccentricity parameter(or equivalently of the impact parameter) provides higher-order terms in the corresponding PM expansion,which can be useful for future crosschecks of other approaches.