2009/09/30 by Iván González, Ivan Gonzalez, Marcelo Loewe +1
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Mathematical functions and polynomials #Particle physics theoretical and experimental studies #hep-th
paper · pdf · doi:10.1103/physrevd.81.026003
published as Phys.Rev.D81:026003,2010 · 25 pages, 49 figures, 1 table (typos corrected)
arxiv created 2009/12/31 · openalex publication_date 2010/01/13 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
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. In particular, we want to calculate certain Feynman diagrams which have a triangle loop as a subgraph. The main idea is to use the integration by parts technique 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.