6 papers
An algorithm towards -factorising Feynman Integrals
epsilon-collaboration, :, Iris Bree +10
In this talk, we use several examples to elaborate on how a recently proposed algorithm can turn non-trivial Feynman integrals into an -factorised manner, regardless…
Improving integration-by-parts and differential equations
Iris Bree, Federico Gasparotto, Antonela Matijašić +8
In this talk, we discuss how ideas from geometry help to improve Feynman integral reduction and the construction of -factorised differential equations. In particular,…
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…
The geometric bookkeeping guide to Feynman integral reduction and -factorised differential equations
Iris Bree, Federico Gasparotto, Antonela Matijašić +8
We report on three improvements in the context of Feynman integral reduction and -factorised differential equations: Firstly, we show that with a specific choice of pr…
Rationalisation of multiple square roots in Feynman integrals
Georgios Papathanasiou, Stefan Weinzierl, Konglong Wu +1
Feynman integrals are very often computed from their differential equations. It is not uncommon that the -factorised differential equation contains only dlog-forms wit…
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…