6533b824fe1ef96bd1280100
RESEARCH PRODUCT
A tree-loop duality relation at two loops and beyond
Isabella BierenbaumStefano CataniPetros DraggiotisGerman Rodrigosubject
High Energy Physics - TheoryQuantum chromodynamicsPhysicsNuclear and High Energy PhysicsScalar (mathematics)Duality (mathematics)FOS: Physical sciencesPropagatorFísicaLoop integralDuality relationHigh Energy Physics - Phenomenologysymbols.namesakeHigh Energy Physics - Phenomenology (hep-ph)High Energy Physics - Theory (hep-th)Phase spacesymbolsFeynman diagramMathematical physicsdescription
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.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2010-10-01 |