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Title

A tree-loop duality relation at two loops and beyond

AuthorsBierenbaum, Isabella ; Catani, Stefano; Rodrigo, Germán ; Draggiotis, Petros
Issue DateOct-2010
PublisherSpringer
CitationJournal of High Energy Physics 2010 (10): 073 (2010)
AbstractThe 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.
Publisher version (URL)http://dx.doi.org/10.1007/JHEP10(2010)073
URIhttp://hdl.handle.net/10261/41951
DOI10.1007/JHEP10(2010)073
ISSN1126-6708
Appears in Collections:(IFIC) Artículos
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