Sequential discontinuities of Feynman integrals and the monodromy group

Jacob L. Bourjaily, Holmfridur Hannesdottir, Andrew J. McLeod, Matthew D. Schwartz, Cristian Vergu

Research output: Contribution to journalArticlepeer-review

35 Scopus citations


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.

Original languageEnglish (US)
Article number205
JournalJournal of High Energy Physics
Issue number1
StatePublished - Jan 2021

All Science Journal Classification (ASJC) codes

  • Nuclear and High Energy Physics


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