Sequential discontinuities of Feynman integrals and the monodromy group

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Documents

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

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
Article number205
JournalJournal of High Energy Physics
Volume2021
Issue number1
Number of pages95
ISSN1029-8479
DOIs
Publication statusPublished - 29 Jan 2021

    Research areas

  • Scattering Amplitudes, Supersymmetric Gauge Theory

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