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arXiv · 2411.11846

Emergence of Calabi-Yau manifolds in high-precision black hole scattering

Mathias Driesse·Gustav Uhre Jakobsen·Albrecht Klemm·Gustav Mogull·Christoph Nega·Jan Plefka·Benjamin Sauer·Johann Usovitsch
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Abstract

Using the worldline quantum field theory formalism, we compute the radiation-reacted impulse, scattering angle, radiated energy and recoil of a classical black hole (or neutron star) scattering event at fifth post-Minkowskian and sub-leading self-force orders (5PM-1SF). This state-of-the-art four-loop computation employs advanced integration-by-parts and differential equation technology, and is considerably more challenging than the conservative 5PM-1SF counterpart. As compared with the conservative 5PM-1SF, in the radiation sector Calabi-Yau three-fold periods appear and contribute to the radiated energy and recoil observables. We give an extensive exposition of the canonicalization of the differential equations and provide details on boundary integrations, Feynman rules, and integration-by-parts strategies. Comparisons to numerical relativity are also performed.

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Mathias Driesse, Gustav Uhre Jakobsen, Albrecht Klemm, Gustav Mogull, Christoph Nega, Jan Plefka, Benjamin Sauer, Johann Usovitsch. 2024-11-18. Emergence of Calabi-Yau manifolds in high-precision black hole scattering. https://doi.org/10.1038/s41586-025-08984-2

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