Titlebook: Anti-Differentiation and the Calculation of Feynman Amplitudes; Johannes Blümlein,Carsten Schneider Book 2021 The Editor(s) (if applicable

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https://doi.org/10.1007/978-3-663-16044-1reductions to linear combinations of a basis, with rational or algebraic coefficients. Once a tentative reduction is obtained, confidence in its validity is greatly increased by computing more decimal digits of the terms and verifying the stability of the result. Here we give examples of how the PSL

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Mathematisch-physikalische Bibliothekcle diagrams. We review a variety of results by the authors in which this method, employed with some care, can compute diagrams of up to eight particles and four loops. We also highlight situations in which this method fails due to an algebraic obstruction. In a large number of cases the obstruction

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https://doi.org/10.1007/978-3-322-83837-7o boundary operations: shrinking edges or removing them. Only if the number of spanning trees of a graph . equals its number of internal edges we find that the graphical coaction .. constructed here agrees with the coaction .. proposed by Britto and collaborators. The graphs for which this is the ca