58 citations · 195 across the 8 of their papers we have counts for
8 papers
Intersection matrices associated to geometric-ordered bases of Feynman integrals
Iris Bree, Federico Gasparotto, Sebastian Pögel +3
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…
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…
Genus Drop in Hyperelliptic Feynman Integrals
Robin Marzucca, Andrew J. McLeod, Ben Page +2
The maximal cut of the nonplanar crossed box diagram with all massive internal propagators was long ago shown to encode a hyperelliptic curve of genus 3 in momentum space. Surprisi…
Bananas of equal mass: any loop, any order in the dimensional regularisation parameter
Sebastian Pögel, Xing Wang, Stefan Weinzierl
We describe a systematic approach to cast the differential equation for the -loop equal mass banana integral into an -factorised form. With the known boundary value…
Taming Calabi-Yau Feynman integrals: The four-loop equal-mass banana integral
Sebastian Pögel, Xing Wang, Stefan Weinzierl
Certain Feynman integrals are associated to Calabi-Yau geometries. We demonstrate how these integrals can be computed with the method of differential equations. The four-loop equal…
The three-loop equal-mass banana integral in -factorised form with meromorphic modular forms
Sebastian Pögel, Xing Wang, Stefan Weinzierl
We show that the differential equation for the three-loop equal-mass banana integral can be cast into an -factorised form with entries constructed from (meromorphic) m…