Direct Integration for Multi-leg Amplitudes: Tips, Tricks, and When They Fail

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Direct hyperlogarithmic integration offers a strong alternative to differential equation methods for Feynman integration, particularly for multi-particle 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 can be associated with a Calabi-Yau manifold.
Original languageEnglish
Title of host publicationAnti-Differentiation and the Calculation of Feynman Amplitudes
Number of pages16
Publication date10 Jul 2021
ISBN (Print)978-3-030-80218-9
Publication statusPublished - 10 Jul 2021
SeriesTexts and Monographs in Symbolic Computation

Bibliographical note

16 pages, 5 figures, talk given at the workshop "Antidifferentiation and the Calculation of Feynman Amplitudes"

    Research areas

  • hep-th


ID: 286418110