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Sequential Discontinuities of Feynman Integrals and the Monodromy Group

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arxiv 2007.13747 v1 pith:DB6CPLJU submitted 2020-07-27 hep-th hep-ph

Jacob L. Bourjaily , Holmfridur Hannesdottir , Andrew J. McLeod , Matthew D. Schwartz , Cristian Vergu This is my paper
classification hep-thhep-ph
keywords discontinuitiessequentialchannelsfeynmangroupintegralsmomentummonodromy
verification ladder T0 review T1 audit T2 compute T3 formal
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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.

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Cited by 3 Pith papers

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