6533b7d8fe1ef96bd126a462
RESEARCH PRODUCT
Tree-Loop Duality Relation beyond simple poles
Sebastian BuchtaPetros DraggiotisIoannis MalamosIsabella BierenbaumGerman Rodrigosubject
PhysicsHigh Energy Physics - TheoryNuclear and High Energy PhysicsPure mathematics010308 nuclear & particles physicsGeneralizationPropagatorDuality (optimization)FísicaFOS: Physical sciencesExtension (predicate logic)QCD Phenomenology01 natural sciencesDuality relationLoop (topology)Theoretical physicsHigh Energy Physics - PhenomenologyHigh Energy Physics - Phenomenology (hep-ph)High Energy Physics - Theory (hep-th)NLO Computations0103 physical sciencesIntegration by partsddc:530Tree (set theory)010306 general physicsdescription
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.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2013-03-01 |