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arXiv · 1011.0585

Feynman's Tree Theorem and Loop-Tree Dualities

Isabella Bierenbaum·Stefano Catani·Petros Draggiotis·German Rodrigo
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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.

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Isabella Bierenbaum, Stefano Catani, Petros Draggiotis, German Rodrigo. 2010-11-02. Feynman's Tree Theorem and Loop-Tree Dualities. https://arxiv.org/abs/1011.0585

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