5 papers
Intersection matrices associated to geometric-ordered bases of Feynman integrals
Iris Bree, Federico Gasparotto, Sebastian Pögel +4
In integration-by-parts reduction of Feynman integrals, the order relation in the Laporta algorithm determines a set of master integrals. In this paper we investigate the intersect…
The unequal-mass three-loop banana integral
Sebastian Pögel, Toni Teschke, Xing Wang +1
We compute the three-loop banana integral with four unequal masses in dimensional regularisation. This integral is associated to a family of K3 surfaces, thus representing an examp…
Self-dualities and Galois symmetries in Feynman integrals
Sebastian Pögel, Xing Wang, Stefan Weinzierl +2
It is well-known that all Feynman integrals within a given family can be expressed as a finite linear combination of master integrals. The master integrals naturally group into sec…
Calabi-Yau Feynman integrals in gravity: -factorized form for apparent singularities
Hjalte Frellesvig, Roger Morales, Sebastian Pögel +2
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 gravit…
A Calabi-Yau-to-Curve Correspondence for Feynman Integrals
Hans Jockers, Sören Kotlewski, Pyry Kuusela +5
It has long been known that the maximal cut of the equal-mass four-loop banana integral is a period of a family of Calabi-Yau threefolds that depends on the kinematic variable $z=m…