6533b85bfe1ef96bd12ba27d
RESEARCH PRODUCT
Threshold expansion of Feynman diagrams within a configuration space technique
Stefan GrooteA.a. PivovarovA.a. Pivovarovsubject
PhysicsHigh Energy Physics - TheoryNuclear and High Energy PhysicsHankel transformNuclear TheoryMathematical analysisSpectral densityFOS: Physical sciencesExpression (mathematics)High Energy Physics - ExperimentNuclear Theory (nucl-th)symbols.namesakeHigh Energy Physics - PhenomenologyHigh Energy Physics - Experiment (hep-ex)High Energy Physics - Phenomenology (hep-ph)High Energy Physics - Theory (hep-th)symbolsFeynman diagramIntermediate stateParticleConfiguration spaceResummationdescription
The near threshold expansion of generalized sunset-type (water melon) diagrams with arbitrary masses is constructed by using a configuration space technique. We present analytical expressions for the expansion of the spectral density near threshold and compare it with the exact expression obtained earlier using the method of the Hankel transform. We formulate a generalized threshold expansion with partial resummation of the small mass corrections for the strongly asymmetric case where one particle in the intermediate state is much lighter than the others.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2000-07-01 |