Post-Newtonian waveforms from spinning scattering amplitudes

A bstract We derive the classical gravitational radiation from an aligned spin binary black hole on closed orbits, using a dictionary built 5-point QFT scattering amplitude of two massive particles exchanging and emitting graviton. show explicitly agreement transverse-traceless components radiative linear metric perturbations — corresponding wave energy flux at future null infinity, derived those utilizing effective worldline action in conjunction with multipolar post-Minkowskian matching. At tree-level, this result holds leading orders holes’ velocities up to quadratic order their spins. sub-leading velocities, we demonstrate matching field for quasi-circular orbits no-spin limit. level field, there exists one-to-one correspondence between mass current quadrupole moments, scalar linear-in-spin amplitudes, respectively. Therefore, that waveforms, needed detect waves inspiraling holes, can be consistently, considered, limit quantum amplitudes.