TY  - JOUR
AU  - Bierenbaum, I.
AU  - Catani, S.
AU  - Draggiotis, P.
AU  - Rodrigo, G.
PY  - 2010
DA  - 2010//
TI  - A tree-loop duality relation at two loops and beyond
T2  - J. High Energy Phys.
JO  - Journal of High Energy Physics
SP  - 073
EP  - 22pp
VL  - 10
IS  - 10
PB  - Springer
KW  - NLO Computations
KW  - QCD
AB  - 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.
SN  - 1126-6708
UR  - http://lanl.arxiv.org/abs/1007.0194
UR  - https://doi.org/10.1007/JHEP10(2010)073
DO  - 10.1007/JHEP10(2010)073
LA  - English
N1  - ISI:000284147000016
ID  - Bierenbaum_etal2010
ER  -