@inbook{a8a0e7d1e19e467b80c213c3b27f681e,
title = "Direct Integration for Multi-leg Amplitudes: Tips, Tricks, and When They Fail",
abstract = " 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. ",
keywords = "hep-th",
author = "Bourjaily, {Jacob L.} and Yang-Hui He and McLeod, {Andrew J.} and Marcus Spradlin and Cristian Vergu and Matthias Volk and Hippel, {Matt von} and Matthias Wilhelm",
note = "16 pages, 5 figures, talk given at the workshop {"}Antidifferentiation and the Calculation of Feynman Amplitudes{"}",
year = "2021",
month = jul,
day = "10",
doi = "10.1007/978-3-030-80219-6_5",
language = "English",
isbn = "978-3-030-80218-9",
series = "Texts and Monographs in Symbolic Computation",
publisher = "Springer",
pages = "107--123",
booktitle = "Anti-Differentiation and the Calculation of Feynman Amplitudes",
address = "Switzerland",
}