Sequential discontinuities of Feynman integrals and the monodromy group
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Publication:2024327
DOI10.1007/JHEP01(2021)205zbMATH Open1459.81045arXiv2007.13747WikidataQ114233666 ScholiaQ114233666MaRDI QIDQ2024327
Author name not available (Why is that?)
Publication date: 3 May 2021
Published in: (Search for Journal in Brave)
Abstract: We generalize the relation between discontinuities of scattering amplitudes and cut diagrams to cover sequential discontinuities (discontinuities of discontinuities) in arbitrary momentum channels. The new relations are derived using time-ordered perturbation theory, and hold at phase-space points where all cut momentum channels are simultaneously accessible. As part of this analysis, we explain how to compute sequential discontinuities as monodromies and explore the use of the monodromy group in characterizing the analytic properties of Feynman integrals. We carry out a number of cross-checks of our new formulas in polylogarithmic examples, in some cases to all loop orders.
Full work available at URL: https://arxiv.org/abs/2007.13747
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