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arXiv · 1808.02489

From Scattering Amplitudes to Classical Potentials in the Post-Minkowskian Expansion

Clifford Cheung·Ira Z. Rothstein·Mikhail P. Solon
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Abstract

We combine tools from effective field theory and generalized unitarity to construct a map between on-shell scattering amplitudes and the classical potential for interacting spinless particles. For general relativity, we obtain analytic expressions for the classical potential of a binary black hole system at second order in the gravitational constant and all orders in velocity. Our results exactly match all known results up to fourth post-Newtonian order, and offer a simple check of future higher order calculations. By design, these methods should extend to higher orders in perturbation theory.

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Clifford Cheung, Ira Z. Rothstein, Mikhail P. Solon. 2019-01-30. From Scattering Amplitudes to Classical Potentials in the Post-Minkowskian Expansion. https://doi.org/10.1103/physrevlett.121.251101

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