Modular application of an integration by fractional expansion method to multiloop Feynman diagrams. II
- Departamento de Fisica, Pontificia Universidad Catolica de Santiago, Santiago (Chile)
A modular application of the integration by fractional expansion method for evaluating Feynman diagrams is extended to diagrams that contain loop triangle subdiagrams in their geometry. The technique is based in the replacement of this module or subdiagram by its corresponding multiregion expansion (MRE), which in turn is obtained from Schwinger's parametric representation of the diagram. The result is a topological reduction, transforming the triangular loop into an equivalent vertex, which simplifies the search for the MRE of the complete diagram. This procedure has important advantages with respect to considering the parametric representation of the whole diagram: the obtained MRE is reduced, and the resulting hypergeometric series tends to have smaller multiplicity.
- OSTI ID:
- 21301051
- Journal Information:
- Physical Review. D, Particles Fields, Vol. 79, Issue 12; Other Information: DOI: 10.1103/PhysRevD.79.126014; (c) 2009 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 0556-2821
- Country of Publication:
- United States
- Language:
- English
Similar Records
Feynman diagrams and a combination of the integration by parts and the integration by fractional expansion techniques
Recursive method to obtain the parametric representation of a generic Feynman diagram