Sequential discontinuities of Feynman integrals and the monodromy group

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Standard

Sequential discontinuities of Feynman integrals and the monodromy group. / Bourjaily, Jacob L.; Hannesdottir, Holmfridur; McLeod, Andrew J.; Schwartz, Matthew D.; Vergu, Cristian.

I: Journal of High Energy Physics, Bind 2021, Nr. 1, 205, 29.01.2021.

Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › fagfællebedømt

Harvard

Bourjaily, JL, Hannesdottir, H, McLeod, AJ, Schwartz, MD & Vergu, C 2021, 'Sequential discontinuities of Feynman integrals and the monodromy group', Journal of High Energy Physics, bind 2021, nr. 1, 205. https://doi.org/10.1007/JHEP01(2021)205

APA

Bourjaily, J. L., Hannesdottir, H., McLeod, A. J., Schwartz, M. D., & Vergu, C. (2021). Sequential discontinuities of Feynman integrals and the monodromy group. Journal of High Energy Physics, 2021(1), [205]. https://doi.org/10.1007/JHEP01(2021)205

Vancouver

Bourjaily JL, Hannesdottir H, McLeod AJ, Schwartz MD, Vergu C. Sequential discontinuities of Feynman integrals and the monodromy group. Journal of High Energy Physics. 2021 jan. 29;2021(1). 205. https://doi.org/10.1007/JHEP01(2021)205

Author

Bourjaily, Jacob L. ; Hannesdottir, Holmfridur ; McLeod, Andrew J. ; Schwartz, Matthew D. ; Vergu, Cristian. / Sequential discontinuities of Feynman integrals and the monodromy group. I: Journal of High Energy Physics. 2021 ; Bind 2021, Nr. 1.

Bibtex

@article{70bf4a9c71a844bda3503978fd9802a3,
title = "Sequential discontinuities of Feynman integrals and the monodromy group",
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.",
keywords = "Scattering Amplitudes, Supersymmetric Gauge Theory",
author = "Bourjaily, {Jacob L.} and Holmfridur Hannesdottir and McLeod, {Andrew J.} and Schwartz, {Matthew D.} and Cristian Vergu",
year = "2021",
month = jan,
day = "29",
doi = "10.1007/JHEP01(2021)205",
language = "English",
volume = "2021",
journal = "Journal of High Energy Physics (Online)",
issn = "1126-6708",
publisher = "Springer",
number = "1",

}

RIS

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

PY - 2021/1/29

Y1 - 2021/1/29

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.

KW - Scattering Amplitudes

KW - Supersymmetric Gauge Theory

U2 - 10.1007/JHEP01(2021)205

DO - 10.1007/JHEP01(2021)205

M3 - Journal article

VL - 2021

JO - Journal of High Energy Physics (Online)

JF - Journal of High Energy Physics (Online)

SN - 1126-6708

IS - 1

M1 - 205

ER -

ID: 260357314