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arXiv · 2506.19705

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

N. Emil J. Bjerrum-Bohr·Gang Chen·Carl Jordan Eriksen·Nabha Shah
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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.

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N. Emil J. Bjerrum-Bohr, Gang Chen, Carl Jordan Eriksen, Nabha Shah. 2025-06-24. The gravitational Compton amplitude from flat and curved spacetimes at second post-Minkowskian order. https://doi.org/10.1007/jhep10(2025)235

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