Calabi-Yau Feynman integrals in gravity: ε-factorized form for apparent singularities
A bstract We study a recently identified four-loop Feynman integral that contains a three-dimensional Calabi-Yau geometry and contributes to the scattering of black holes in classical gravity at fifth post-Minkowskian and second self-force order (5PM 2SF) in the conservative sector. In contrast to previously studied Calabi-Yau Feynman integrals, the higher-order differential equation that this integral satisfies in dimensional regularization exhibits ε -dependent apparent singularities. We introduce an appropriate ansatz which allows us to bring such cases into an ε -factorized form. As a proof of principle, we apply it to the integral at hand.
Authors
- Hjalte Frellesvig (ORCID: https://orcid.org/0000-0002-7367-4861)
- Sebastian Pögel (ORCID: https://orcid.org/0000-0003-4323-9743)
- Roger Morales (ORCID: https://orcid.org/0000-0001-9477-4311)
- Matthias Wilhelm (ORCID: https://orcid.org/0000-0002-0032-0181)
- Stefan Weinzierl (ORCID: https://orcid.org/0000-0003-0059-1173)
Institutions
- University of Southern Denmark (DK)
- Johannes Gutenberg University Mainz (DE)
- Paul Scherrer Institute (CH)
Publication Details
- Journal
- Journal of High Energy Physics
- Published
- 2025-02-28
- DOI
- https://doi.org/10.1007/jhep02(2025)209
- Citations
- 13
- Primary Topic
- Black Holes and Theoretical Physics
- Type
- article
- Field-Weighted Citation Impact
- 24.31
Funders
- Villum Fonden
- Government of Canada
- European Commission
- Deutsche Forschungsgemeinschaft
- Institut Périmètre de physique théorique
- Ministry of Colleges and Universities