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A Tree-Loop Duality relation at two Loops and Beyond

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	Bierenbaum, I.; Catani, Stefano; Draggiotis, Petros; Rodrigo García, Germán Vicente
	This document is a artículoDate2010
	Este documento está disponible también en : http://hdl.handle.net/10550/44453
	The duality relation between one-loop integrals and phase-space integrals, developed in a previous work, is extended to higher-order loops. The duality relation is realized by a modification of the customary +i0 prescription of the Feynman propagators, which compensates for the absence of the multiple-cut contributions that appear in the Feynman tree theorem. We rederive the duality theorem at one-loop order in a form that is more suitable for its iterative extension to higher-loop orders. We explicitly show its application to two- and three-loop scalar master integrals, and we discuss the structure of the occurring cuts and the ensuing results in detail.
	Bierenbaum, I. Catani, Stefano Draggiotis, Petros Rodrigo García, Germán Vicente 2010 A Tree-Loop Duality relation at two Loops and Beyond Journal of High Energy Physics 2010 10 073-1 073-22
	http://dx.doi.org/10.1007/JHEP10(2010)073