Feynman Diagrams and a Combination of the Integration by Parts (IBP) and the Integration by Fractional Expansion (IBFE) Techniques
arXiv:0909.3493 · doi:10.1103/PhysRevD.81.026003
Abstract
In this paper we show how to improve and extend the Integration by Fractional Expansion technique (IBFE) by applying it to certain families of scalar massive Feynman diagrams. The strategy is based on combining this method together with the Integration by Parts technique (IBP). In particular, we want to calculate certain Feynman diagrams which have a triangle loop as a subgraph. The main idea is to use IBP in this subgraph in order to simplify the topology of the original diagram in which it is immersed, using then, in a second step, the IBFE technique. The result we have obtained, after the application of both techniques, represents a simplification in the complexity of the solution, compared with having used only the IBFE technique.
25 pages, 49 figures, 1 table (typos corrected)
References in corpus (5)
- Optimized Negative Dimensional Integration Method (NDIM) and multiloop Feynman diagram calculation
- Massless and massive one-loop three-point functions in negative dimensional approach
- General massive one-loop off-shell three-point functions
- Modular application of an Integration by Fractional Expansion (IBFE) method to multiloop Feynman diagrams
- Non-planar double-box, massive and massless pentabox Feynman integrals in negative dimensional approach