Cuts and isogenies

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Cuts and isogenies. / Frellesvig, Hjalte; Vergu, Cristian; Volk, Matthias; von Hippel, Matt.

In: Journal of High Energy Physics, Vol. 2021, No. 5, 064, 10.05.2021.

Research output: Contribution to journal › Journal article › Research › peer-review

Harvard

Frellesvig, H, Vergu, C, Volk, M & von Hippel, M 2021, 'Cuts and isogenies', Journal of High Energy Physics, vol. 2021, no. 5, 064. https://doi.org/10.1007/JHEP05(2021)064

APA

Frellesvig, H., Vergu, C., Volk, M., & von Hippel, M. (2021). Cuts and isogenies. Journal of High Energy Physics, 2021(5), [064]. https://doi.org/10.1007/JHEP05(2021)064

Vancouver

Frellesvig H, Vergu C, Volk M, von Hippel M. Cuts and isogenies. Journal of High Energy Physics. 2021 May 10;2021(5). 064. https://doi.org/10.1007/JHEP05(2021)064

Author

Frellesvig, Hjalte ; Vergu, Cristian ; Volk, Matthias ; von Hippel, Matt. / Cuts and isogenies. In: Journal of High Energy Physics. 2021 ; Vol. 2021, No. 5.

Bibtex

@article{c48e0db87c3b41eeac200ae696cdab60,
title = "Cuts and isogenies",
abstract = "We consider the genus-one curves which arise in the cuts of the sunrise and in the elliptic double-box Feynman integrals. We compute and compare invariants of these curves in a number of ways, including Feynman parametrization, lightcone and Baikov (in full and loop-by-loop variants). We find that the same geometry for the genus-one curves arises in all cases, which lends support to the idea that there exists an invariant notion of genus-one geometry, independent on the way it is computed. We further indicate how to interpret some previous results which found that these curves are related by isogenies instead.",
keywords = "Scattering Amplitudes, Differential and Algebraic Geometry, 2-LOOP SELF-ENERGIES, DIFFERENTIAL-EQUATIONS, FEYNMAN-INTEGRALS, ELLIPTIC POLYLOGARITHMS, ITERATED INTEGRALS, SUNRISE, DIAGRAMS, SPACE, SERIES, GRAPH",
author = "Hjalte Frellesvig and Cristian Vergu and Matthias Volk and {von Hippel}, Matt",
year = "2021",
month = may,
day = "10",
doi = "10.1007/JHEP05(2021)064",
language = "English",
volume = "2021",
journal = "Journal of High Energy Physics (Online)",
issn = "1126-6708",
publisher = "Springer",
number = "5",

}

RIS

TY - JOUR

T1 - Cuts and isogenies

AU - Frellesvig, Hjalte

AU - Vergu, Cristian

AU - Volk, Matthias

AU - von Hippel, Matt

PY - 2021/5/10

Y1 - 2021/5/10

N2 - We consider the genus-one curves which arise in the cuts of the sunrise and in the elliptic double-box Feynman integrals. We compute and compare invariants of these curves in a number of ways, including Feynman parametrization, lightcone and Baikov (in full and loop-by-loop variants). We find that the same geometry for the genus-one curves arises in all cases, which lends support to the idea that there exists an invariant notion of genus-one geometry, independent on the way it is computed. We further indicate how to interpret some previous results which found that these curves are related by isogenies instead.

AB - We consider the genus-one curves which arise in the cuts of the sunrise and in the elliptic double-box Feynman integrals. We compute and compare invariants of these curves in a number of ways, including Feynman parametrization, lightcone and Baikov (in full and loop-by-loop variants). We find that the same geometry for the genus-one curves arises in all cases, which lends support to the idea that there exists an invariant notion of genus-one geometry, independent on the way it is computed. We further indicate how to interpret some previous results which found that these curves are related by isogenies instead.

KW - Scattering Amplitudes

KW - Differential and Algebraic Geometry

KW - 2-LOOP SELF-ENERGIES

KW - DIFFERENTIAL-EQUATIONS

KW - FEYNMAN-INTEGRALS

KW - ELLIPTIC POLYLOGARITHMS

KW - ITERATED INTEGRALS

KW - SUNRISE

KW - DIAGRAMS

KW - SPACE

KW - SERIES

KW - GRAPH

U2 - 10.1007/JHEP05(2021)064

DO - 10.1007/JHEP05(2021)064

M3 - Journal article

VL - 2021

JO - Journal of High Energy Physics (Online)

JF - Journal of High Energy Physics (Online)

SN - 1126-6708

IS - 5

M1 - 064

ER -

ID: 272415779