Sep 9 – 13, 2019
Europe/Zurich timezone

A new formulation of the loop-tree duality at higher loops

Sep 12, 2019, 2:30 PM
Chambre du Trésorier

Chambre du Trésorier


Dr Zoltán Szőr (Mainz University)


Relating loop integrals to tree level objects goes back several decades to Feynman. In the past ten years the loop-tree duality theorem was introduced, which expresses $l$-loop integrals in terms of phase space integrals of sum of trees obtained from cutting $l$ internal propagators of the loop graph. In addition, the uncut propagators gain a modified $i \delta$-prescription, named dual propagators.

In my talk I present a new formulation of the loop-tree duality theorem for higher loop diagrams valid both for massless and massive cases. In this new framework one can go beyond loop-graphs and calculate the integrand of loop-amplitudes as a weighted sum of tree graphs, which form a tree-like object. These objects can be computed efficiently via recurrence relations.

Primary authors

Dr Zoltán Szőr (Mainz University) Stefan Weinzierl (Universität Mainz) Mr Juan-Pablo Vesga (Mainz University) Mr Robert Runkel (Mainz University)

Presentation materials