4 papers
Feynman integrals for binary systems of black holes
Philipp Alexander Kreer, Robert Runkel, Stefan Weinzierl
The initial phase of the inspiral process of a binary black-hole system can be described by perturbation theory. At the third post-Minkowskian order a two-loop double box graph, kn…
A new formulation of the loop-tree duality at higher loops
Robert Runkel, Zoltán Szőr, Juan Pablo Vesga +1
We present a new formulation of the loop-tree duality theorem for higher loop diagrams valid both for massless and massive cases. -loop integrals are expressed as weighted sum o…
Integrands of loop amplitudes within loop-tree duality
Robert Runkel, Zoltán Szőr, Juan Pablo Vesga +1
Using loop-tree duality, we relate a renormalised -point -loop amplitude in a quantum field theory to a phase-space integral of a regularised -fold forward limit of a UV-s…
Causality and loop-tree duality at higher loops
Robert Runkel, Zoltán Szőr, Juan Pablo Vesga +1
We relate a -loop Feynman integral to a sum of phase space integrals, where the integrands are determined by the spanning trees of the original -loop graph. Causality require…