6533b863fe1ef96bd12c77f1
RESEARCH PRODUCT
On the evaluation of a certain class of Feynman diagrams in x-space: Sunrise-type topologies at any loop order
Jürgen G. KörnerA.a. PivovarovA.a. PivovarovStefan Grootesubject
PhysicsParticle physicsExplicit formulaeGeneral Physics and AstronomyFOS: Physical sciencesPosition and momentum spaceType (model theory)Space (mathematics)Loop (topology)symbols.namesakeTheoretical physicsHigh Energy Physics - PhenomenologyHigh Energy Physics - Phenomenology (hep-ph)symbolsFeynman diagramPoint (geometry)Configuration spacedescription
We review recently developed new powerful techniques to compute a class of Feynman diagrams at any loop order, known as sunrise-type diagrams. These sunrise-type topologies have many important applications in many different fields of physics and we believe it to be timely to discuss their evaluation from a unified point of view. The method is based on the analysis of the diagrams directly in configuration space which, in the case of the sunrise-type diagrams and diagrams related to them, leads to enormous simplifications as compared to the traditional evaluation of loops in momentum space. We present explicit formulae for their analytical evaluation for arbitrary mass configurations and arbitrary dimensions at any loop order. We discuss several limiting cases of their kinematical regimes which are e.g. relevant for applications in HQET and NRQCD.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2005-06-28 |