Feynman's Tree Theorem and Loop-Tree Dualities

Abstract

We discuss the duality theorem, which provides a relation between loop integrals and phase space integrals. We rederive the duality relation for the one-loop case and extend it to two and higher-order loops. We explicitly show its application to two- and three-loop scalar master integrals and discuss the structure of the occurring cuts.

Comments: 8 pages, 2 figures, talk presented at "Light Cone 2010", Valencia,14-18 June, 2010