Sequential discontinuities of Feynman integrals and the monodromy group
Research output: Contribution to journal › Journal article › Research › peer-review
Standard
Sequential discontinuities of Feynman integrals and the monodromy group. / Bourjaily, Jacob L.; Hannesdottir, Holmfridur; McLeod, Andrew J.; Schwartz, Matthew D.; Vergu, Cristian.
In: Journal of High Energy Physics, Vol. 2021, No. 1, 205, 29.01.2021.Research output: Contribution to journal › Journal article › Research › peer-review
Harvard
APA
Vancouver
Author
Bibtex
}
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