Feynman Diagrams and a Combination of the Integration by Parts IBP and the Integration by Fractional Expansion IBFE Techniques - High Energy Physics - TheoryReport as inadecuate




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Abstract: In this paper we show how to improve and extend the Integration by FractionalExpansion technique IBFE by applying it to certain families of scalar massiveFeynman diagrams. The strategy is based on combining this method together withthe Integration by Parts technique IBP. In particular, we want to calculatecertain Feynman diagrams which have a triangle loop as a subgraph. The mainidea is to use IBP in this subgraph in order to simplify the topology of theoriginal diagram in which it is immersed, using then, in a second step, theIBFE technique. The result we have obtained, after the application of bothtechniques, represents a simplification in the complexity of the solution,compared with having used only the IBFE technique.



Author: Ivan Gonzalez, Marcelo Loewe

Source: https://arxiv.org/



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