Article,
Calabi-Yau Meets Gravity: A Calabi-Yau Threefold at Fifth Post-Minkowskian Order
Contributors
Frellesvig, Hjalte
0000-0002-7367-4861
[1]
Morales, Roger
0000-0001-9477-4311
[1]
[2]
Wilhelm, Matthias
0000-0002-0032-0181
[1]
Affiliations
- [1] University of Copenhagen [NORA names: KU University of Copenhagen; University; Denmark; Europe, EU; Nordic; OECD];
- [2] University of California, Los Angeles [NORA names: United States; America, North; OECD]
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.
Keywords
Calabi-Yau,
Calabi-Yau geometry,
Feynman,
Feynman integrals,
Fifth,
K3 surfaces,
analytical results,
binary mergers,
black hole,
elliptic integrals,
expansion,
four-loop,
function,
geometry,
holes,
integration,
merger,
order,
post-Minkowskian,
post-Minkowskian order,
presence,
production,
results,
scattering,
scattering of black holes,
study geometry,
surface,
three-loop
