5 papers
Magic Relations and Critical Varieties of Feynman Integrals
Giulio Crisanti, Hjalte Frellesvig, Andrzej Pokraka +1
Magic relations are a class of integration-by-parts identities where all integrals in the generating sector drop out. Since their presence causes several otherwise successful metho…
The spectrum of Feynman-integral geometries at two loops
Piotr Bargiela, Hjalte Frellesvig, Robin Marzucca +4
We provide a complete classification of the Feynman-integral geometries at two-loop order in four-dimensional Quantum Field Theory with standard quadratic propagators. Concretely,…
Classification of Feynman integral geometries for black-hole scattering at 5PM order
Daniel Brammer, Hjalte Frellesvig, Roger Morales +1
We provide a complete classification of the Feynman integral geometries relevant to the scattering of two black holes at fifth order in the post-Minkowskian (PM) expansion, i.e. at…
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…
The Loop-by-Loop Baikov Representation -- Strategies and Implementation
Hjalte Frellesvig
In this paper, we discuss the Baikov representation of Feynman integrals in its standard and loop-by-loop variants. The Baikov representation is a parametric representation, which…