A tree-loop duality relation at two loops and beyond

Isabella Bierenbaum, Stefano Catani, Petros Draggiotis, Germán Rodrigo
2010 Journal of High Energy Physics  
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
more » ... r-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.
doi:10.1007/jhep10(2010)073 fatcat:spiryfycgjbf7dsk4jot3ngjvm