Tree-Loop Duality Relation beyond simple poles

Nov, 2012
21 pages
Published in:
  • JHEP 03 (2013) 025
e-Print:
Report number:
  • LPN-12-057,
  • IFIC-12-44,
  • DESY-12-208

Citations per year

20132016201920222025024681012
Abstract: (Springer)
We develop the Tree-Loop Duality Relation for two- and three-loop integrals with multiple identical propagators (multiple poles). This is the extension of the Duality Relation for single poles and multi-loop integrals derived in previous publications. We prove a generalization of the formula for single poles to multiple poles and we develop a strategy for dealing with higher-order pole integrals by reducing them to single pole integrals using Integration By Parts.
Note:
  • 21 pages, 4 figures. arXiv admin note: substantial text overlap with arXiv:1007.0194
  • pole
  • duality
  • mathematical methods
  • Feynman graph: higher-order
  • propagator
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