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

Hjalte Frellesvig; Roger Morales; Matthias Wilhelm

doi:10.1103/PhysRevLett.132.201602

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

Hjalte Frellesvig^*, Roger Morales, Matthias Wilhelm

^*Kontaktforfatter

Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › peer 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.

Originalsprog	Engelsk
Artikelnummer	201602
Tidsskrift	Physical Review Letters
Vol/bind	132
Udgave nummer	20
Antal sider	8
ISSN	0031-9007
DOI	https://doi.org/10.1103/PhysRevLett.132.201602
Status	Udgivet - 15. maj 2024
Udgivet eksternt	Ja

Dokumenter og links

10.1103/PhysRevLett.132.201602Licens: CC BY

PhysRevLett.132.201602Forlagets udgivne version, 372 KBLicens: CC BY

Citationsformater

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AB - 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.

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

Abstract

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