The gravitational Compton amplitude from flat and curved spacetimes at second post-Minkowskian order

2025/06/24 by N. E. J. Bjerrum-Bohr, Bjerrum-Bohr, N. Emil J., Gang Chen +5 · 2 citations
Physics and Astronomy · #Cosmology and Gravitation Theories #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #High Energy Physics - Theory (hep-th) #Pulsars and Gravitational Waves Research #Relativity and Gravitational Theory

paper · pdf · doi:10.48550/arxiv.2506.19705

openalex publication_date 2025/06/24 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/30

Abstract

We utilize various computational techniques in flat and curved backgrounds to calculate the classical gravitational Compton amplitude up to the second post-Minkowskian order. Our novel result supports the use of worldline quantum field theory in non-trivial background spacetimes to obtain new theoretical insights that can both enhance computational efficiency and provide useful cross-checks of results, particularly in the context of classical binary black hole mergers.

Cited by

• Scattering Gravitons off General Spinning Compact Objects to O(G² S⁴)
• Unitarity and the On-Shell Action of Worldline Quantum Field Theory

Related

• The SAGEX Review on Scattering Amplitudes, Chapter 13: Post-Minkowskian expansion from Scattering Amplitudes
• The Amplitude for Classical Gravitational Scattering at Third Post-Minkowskian Order
• Covariant Compton Amplitudes in Gravity with Classical Spin
• The History and Present Status of Quantum Field Theory in Curved Spacetime
• Comparing One-loop Gravitational Bremsstrahlung Amplitudes to the Multipolar-Post-Minkowskian Waveform