A new formulation of the loop-tree duality at higher loops
December 19, 2019
February 18, 2020
We present a new formulation of the loop-tree duality theorem for higher loop diagrams valid both for massless and massive cases. $l$-loop integrals are expressed as weighted 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 this new framework one can go beyond 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.
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