PT Journal
AU Bierenbaum, I
   Catani, S
   Draggiotis, P
   Rodrigo, G
TI A tree-loop duality relation at two loops and beyond
SO Journal of High Energy Physics
JI J. High Energy Phys.
PY 2010
BP 073
EP 22pp
VL 10
IS 10
DI 10.1007/JHEP10(2010)073
LA English
DE NLO Computations; 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.
ER