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

Zoltán Szőr, Robert Runkel, Juan Pablo Vesga, Stefan Weinzierl
2019 Proceedings of 14th International Symposium on Radiative Corrections — PoS(RADCOR2019)   unpublished
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 iδ -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
more » ... . These objects can be computed efficiently via recurrence relations.
doi:10.22323/1.375.0073 fatcat:mgihfnsrnfcmzbni7p4xvnrf44