6533b823fe1ef96bd127f79d
RESEARCH PRODUCT
On the evaluation of sunset-type Feynman diagrams
Stefan GrooteJürgen G. KörnerA.a. PivovarovA.a. Pivovarovsubject
PhysicsNuclear and High Energy PhysicsParticle physicsNuclear TheoryComputationScalar (mathematics)FOS: Physical sciencesPropagatorRational functionSunsetNuclear Theory (nucl-th)High Energy Physics - Phenomenologysymbols.namesakeTheoretical physicsHigh Energy Physics - Phenomenology (hep-ph)Phase spacesymbolsFeynman diagramConfiguration spacedescription
We introduce an efficient configuration space technique which allows one to compute a class of Feynman diagrams which generalize the scalar sunset topology to any number of massive internal lines. General tensor vertex structures and modifications of the propagators due to particle emission with vanishing momenta can be included with only a little change of the basic technique described for the scalar case. We discuss applications to the computation of $n$-body phase space in $D$-dimensional space-time. Substantial simplifications occur for odd space-time dimensions where the final results can be expressed in closed form through rational functions. We present explicit analytical formulas for three-dimensional space-time.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 1999-03-01 | Nuclear Physics B |