Modular application of an Integration by Fractional Expansion (IBFE) method to multiloop Feynman diagrams
arXiv:0812.3625 · doi:10.1103/PhysRevD.78.086003
Abstract
We present an alternative technique for evaluating multiloop Feynman diagrams, using the integration by fractional expansion method. Here we consider generic diagrams that contain propagators with radiative corrections which topologically correspond to recursive constructions of bubble type diagrams. The main idea is to reduce these subgraphs, replacing them by their equivalent multiregion expansion. One of the main advantages of this integration technique is that it allows to reduce massive cases with the same degree of difficulty as in the massless case.
38 pages, 46 figures, 4 tables
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- The Moments of the Hydrogen Atom by the Method of Brackets
- Feynman Diagrams and a Combination of the Integration by Parts (IBP) and the Integration by Fractional Expansion (IBFE) Techniques
- On the Method of Brackets: Rules, Examples, Interpretations and Modifications