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    Chapter and Conference Paper

    Polylogarithm Identities, Cluster Algebras and the \(\mathcal {N} = 4\)  Supersymmetric Theory

    Scattering amplitudes in \(\mathcal {N} = 4\) super-Yang Mills theory can be computed to higher perturbative orders than in any other four-dimensional quantum field theory. The results are interesting transcenden...

    Cristian Vergu in Periods in Quantum Field Theory and Arithmetic (2020)

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    Chapter

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

    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...

    Jacob L. Bourjaily, Yang-Hui He… in Anti-Differentiation and the Calculation o… (2021)