Gravitational waveforms: A tale of two formalisms
Gravitational waveforms: A tale of two formalisms
We revisit the quantum-amplitude-based derivation of the gravitational waveform emitted by the scattering of two spinless massive bodies at the third order in Newton’s constant, <a:math xmlns:a="http://www.w3.org/1998/Math/MathML" display="inline"><a:mi>h</a:mi><a:mo>∼</a:mo><a:mi>G</a:mi><a:mo>+</a:mo><a:msup><a:mi>G</a:mi><a:mn>2</a:mn></a:msup><a:mo>+</a:mo><a:msup><a:mi>G</a:mi><a:mn>3</a:mn></a:msup></a:math> (one-loop level), and correspondingly update its comparison with its classically derived multipolar-post-Minkowskian counterpart. A spurious-pole-free reorganization of the one-loop five-point amplitude substantially …