Calabi-Yau Meets Gravity: A Calabi-Yau Threefold at Fifth Post-Minkowskian Order

Hjalte Frellesvig*, Roger Morales, Matthias Wilhelm

*Corresponding author for this work

Research output: Contribution to journalJournal articleResearchpeer-review

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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 languageEnglish
Article number201602
JournalPhysical Review Letters
Volume132
Issue number20
Number of pages8
ISSN0031-9007
DOIs
Publication statusPublished - 15. May 2024
Externally publishedYes

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