Leading-order gravitational radiation to all spin orders

Understand

Starting with on-shell amplitudes compatible with the scattering of Kerr black holes, we produce the gravitational waveform and memory effect including spin at their leading post-Minkowskian orders to all orders in the spins of both scattering objects.

• For the memory effect, we present results at next-to-leading order as well, finding a closed form for all spin orders when the spins are anti-aligned and equal in magnitude.
• Considering instead generically oriented spins, we produce the next-to-leading-order memory to sixth order in spin.
• Compton-amplitude contact terms up to sixth order in spin are included throughout our analysis.