188宝金博页面版

JHEP02(2025)209Published for SISSA by SpringerReceived: December 18, 2024Revised: January 27, 2025Accepted: February 2, 2025Published: February 28, 2025Calabi-Yau Feynman integrals in gravity: ε-factorizedform for apparent singularitiesHjalte Frellesvig , a Roger Morales , a Sebastian Pögel , b Stefan Weinzierlcand Matthias Wilhelma,da Niels Bohr International Academy, Niels Bohr Institute, Copenhagen University,Blegdamsvej 17, DK-2100 Copenhagen Ø, Denmarkb Paul Scherrer Institut,CH-5232 Villigen PSI, Switzerlandc PRISMA Cluster of Excellence, Institut für Physik, Johannes Gutenberg-Universität Mainz,D-55099 Mainz, Germanyd Center for Quantum Mathematics, Department of Mathematics and Computer Science,University of Southern Denmark,DK-5230 Odense M, DenmarkE-mail: hjalte.frellesvig@nbi.ku.dk, roger.morales@nbi.ku.dk,sebastian.poegel@psi.ch, weinzierl@uni-mainz.de, mwilhelm@imada.sdu.dkAbstract: We study a recently identif i ed four-loop Feynman integral that contains athree-dimensional Calabi-Yau geometry and contributes to the scattering of black holes inclassical gravity at f i fth post-Minkowskian and second self-force order (5PM 2SF) in theconservative sector. In contrast to previously studied Calabi-Yau Feynman integrals, thehigher-order dif f erential equation that this integral satisf i es in dimensional regularizationexhibits ε -dependent apparent singularities. We introduce an appropriate ansatz whichallows us to bring such cases into an ε -factorized form. As a proof of principle, we applyit to the integral at hand.Keywords: Scattering Amplitudes, Black Holes, Dif f erential and Algebraic GeometryArXiv ePrint: 2412.12057Open Access, © The Authors.Article funded by SCOAP 3 .https://doi.org/10.1007/JHEP02(2025)209