Direct Integration for Multi-leg Amplitudes: Tips, Tricks, and When They Fail
Research output: Chapter in Book/Report/Conference proceeding › Book chapter › Research › peer-review
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.
|Title of host publication||Anti-Differentiation and the Calculation of Feynman Amplitudes|
|Number of pages||16|
|Publication date||10 Jul 2021|
|Publication status||Published - 10 Jul 2021|
|Series||Texts and Monographs in Symbolic Computation|
16 pages, 5 figures, talk given at the workshop "Antidifferentiation and the Calculation of Feynman Amplitudes"