Abstract
We study geometries occurring in Feynman integrals that contribute to the scattering of black holes in the post-Minkowskian (PM) expansion. These geometries become relevant to gravitational-wave production from binary mergers through the classical conservative potential. At 4PM, a K3 surface is known to occur in a three-loop integral, leading to elliptic integrals in the result. In this Letter, we identify a Calabi-Yau threefold in a four-loop integral, contributing at 5PM. The presence of this Calabi-Yau geometry indicates that completely new functions occur in the full analytical results.
Original language | English |
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Article number | 201602 |
Journal | Physical Review Letters |
Volume | 132 |
Issue number | 20 |
Number of pages | 8 |
ISSN | 0031-9007 |
DOIs | |
Publication status | Published - 15. May 2024 |
Externally published | Yes |