Towards a Loop-Tree Duality at Two Loops and Beyond
arXiv:1007.0213 · doi:10.1016/j.nuclphysbps.2010.08.037
Abstract
We present an extension of the duality theorem, previously defined by S. Catani et al. on the one-loop level, to higher loop orders. The duality theorem provides a relation between loop integrals and tree-level phase-space integrals. Here, the one-loop relation is rederived in a way which is more suitable for its extension to higher loop orders. This is shown in detail by considering the two-loop N-leg master diagram and by a short discussion of the four master diagrams at three loops, in this sketching the general structure of the duality theorem at even higher loop orders.
6 pages, talk presented at Loops and Legs in Quantum Field Theory 2010, Wörlitz, Germany, April 25-30, 2010