2024-03-30T04:13:08Zhttp://digital.csic.es/dspace-oai/requestoai:digital.csic.es:10261/419512020-08-12T12:14:54Zcom_10261_61com_10261_4col_10261_314
00925njm 22002777a 4500
dc
Bierenbaum, Isabella
author
Catani, Stefano
author
Rodrigo, Germán
author
Draggiotis, Petros
author
2010-10
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.
Journal of High Energy Physics 2010 (10): 073 (2010)
1126-6708
http://hdl.handle.net/10261/41951
10.1007/JHEP10(2010)073
A tree-loop duality relation at two loops and beyond