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20122026
most citedVector Space of Feynman Integrals and Multivariate Intersection Numbers

157 citations · 1.5k across the 35 of their papers we have counts for

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5 papers · 1 filter

hep-th2024★ 21 cited

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…

hep-th2024

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…

hep-th2024★ 20 cited

Classifying post-Minkowskian geometries for gravitational waves via loop-by-loop Baikov

Hjalte Frellesvig, Roger Morales, Matthias Wilhelm

We use the loop-by-loop Baikov representation to investigate the geometries in Feynman integrals contributing to the classical dynamics of a black-hole two-body system in the post-…

gr-qc2024★ 7 cited

General Relativity from Intersection Theory

Hjalte Frellesvig, Toni Teschke

This paper combines the post-Minkowskian expansion of general relativity with the language of intersection theory. Because of the nature of the soft limit inherent to the post-Mink…

hep-th2024★ 2 cited

Intersection Numbers, Polynomial Division and Relative Cohomology

Giacomo Brunello, Vsevolod Chestnov, Giulio Crisanti +3

We present a simplification of the recursive algorithm for the evaluation of intersection numbers for differential -forms, by combining the advantages emerging from the choice o…