TY - JOUR
T1 - Sequential discontinuities of Feynman integrals and the monodromy group
AU - Bourjaily, Jacob L.
AU - Hannesdottir, Holmfridur
AU - McLeod, Andrew J.
AU - Schwartz, Matthew D.
AU - Vergu, Cristian
N1 - Publisher Copyright:
© 2021, The Author(s).
PY - 2021/1
Y1 - 2021/1
N2 - 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.
AB - 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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U2 - 10.1007/JHEP01(2021)205
DO - 10.1007/JHEP01(2021)205
M3 - Article
AN - SCOPUS:85107121126
SN - 1126-6708
VL - 2021
JO - Journal of High Energy Physics
JF - Journal of High Energy Physics
IS - 1
M1 - 205
ER -