{"arxiv_id":"1007.0213","title":"Towards a Loop-Tree Duality at Two Loops and Beyond","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.","primary_cat":"hep-ph","cross_cats":["hep-th"],"submitted_at":"2010-07-01T16:47:18+00:00","latest_version":1,"source":"arxiv","source_label":"arXiv","source_url":null,"has_pdf":true,"has_source":false,"verdict":null,"confidence":null,"one_line_summary":null,"novelty_score":null,"correctness_risk":null,"formal_verification":null,"upvotes":0,"downvotes":0,"pith_score":0.0,"inbound_count":4,"_links":{"html":"https://pith.science/paper/1007.0213","verdict":"/api/v1/verdicts/1007.0213"}}