Symbology for elliptic multiple polylogarithms and the symbol prime

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Standard

Symbology for elliptic multiple polylogarithms and the symbol prime. / Wilhelm, Matthias; Zhang, Chi.

In: Journal of High Energy Physics, Vol. 2023, No. 1, 89, 17.01.2023.

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

Harvard

Wilhelm, M & Zhang, C 2023, 'Symbology for elliptic multiple polylogarithms and the symbol prime', Journal of High Energy Physics, vol. 2023, no. 1, 89. https://doi.org/10.1007/JHEP01(2023)089

APA

Wilhelm, M., & Zhang, C. (2023). Symbology for elliptic multiple polylogarithms and the symbol prime. Journal of High Energy Physics, 2023(1), [89]. https://doi.org/10.1007/JHEP01(2023)089

Vancouver

Wilhelm M, Zhang C. Symbology for elliptic multiple polylogarithms and the symbol prime. Journal of High Energy Physics. 2023 Jan 17;2023(1). 89. https://doi.org/10.1007/JHEP01(2023)089

Author

Wilhelm, Matthias ; Zhang, Chi. / Symbology for elliptic multiple polylogarithms and the symbol prime. In: Journal of High Energy Physics. 2023 ; Vol. 2023, No. 1.

Bibtex

@article{03f80cd7cf684a3a8ff90c7ca29866d2,
title = "Symbology for elliptic multiple polylogarithms and the symbol prime",
abstract = "Elliptic multiple polylogarithms occur in Feynman integrals and in particular in scattering amplitudes. They can be characterized by their symbol, a tensor product in the so-called symbol letters. In contrast to the non-elliptic case, the elliptic letters themselves satisfy highly non-trivial identities, which we discuss in this paper. Moreover, we introduce the symbol prime, an analog of the symbol for elliptic symbol letters, which makes these identities manifest. We demonstrate its use in two explicit examples at two-loop order: the unequal-mass sunrise integral in two dimensions and the ten-point double-box integral in four dimensions. Finally, we also report the result of the polylogarithmic nine-point double-box integral, which arises as the soft limit of the ten-point integral.",
keywords = "Scattering Amplitudes, Differential and Algebraic Geometry, Supersymmetric Gauge Theory, FEYNMAN-INTEGRALS, SPECIAL VALUES, K3, GEOMETRY, GRAPH",
author = "Matthias Wilhelm and Chi Zhang",
year = "2023",
month = jan,
day = "17",
doi = "10.1007/JHEP01(2023)089",
language = "English",
volume = "2023",
journal = "Journal of High Energy Physics (Online)",
issn = "1126-6708",
publisher = "Springer",
number = "1",

}

RIS

TY - JOUR

T1 - Symbology for elliptic multiple polylogarithms and the symbol prime

AU - Wilhelm, Matthias

AU - Zhang, Chi

PY - 2023/1/17

Y1 - 2023/1/17

N2 - Elliptic multiple polylogarithms occur in Feynman integrals and in particular in scattering amplitudes. They can be characterized by their symbol, a tensor product in the so-called symbol letters. In contrast to the non-elliptic case, the elliptic letters themselves satisfy highly non-trivial identities, which we discuss in this paper. Moreover, we introduce the symbol prime, an analog of the symbol for elliptic symbol letters, which makes these identities manifest. We demonstrate its use in two explicit examples at two-loop order: the unequal-mass sunrise integral in two dimensions and the ten-point double-box integral in four dimensions. Finally, we also report the result of the polylogarithmic nine-point double-box integral, which arises as the soft limit of the ten-point integral.

AB - Elliptic multiple polylogarithms occur in Feynman integrals and in particular in scattering amplitudes. They can be characterized by their symbol, a tensor product in the so-called symbol letters. In contrast to the non-elliptic case, the elliptic letters themselves satisfy highly non-trivial identities, which we discuss in this paper. Moreover, we introduce the symbol prime, an analog of the symbol for elliptic symbol letters, which makes these identities manifest. We demonstrate its use in two explicit examples at two-loop order: the unequal-mass sunrise integral in two dimensions and the ten-point double-box integral in four dimensions. Finally, we also report the result of the polylogarithmic nine-point double-box integral, which arises as the soft limit of the ten-point integral.

KW - Scattering Amplitudes

KW - Differential and Algebraic Geometry

KW - Supersymmetric Gauge Theory

KW - FEYNMAN-INTEGRALS

KW - SPECIAL VALUES

KW - K3

KW - GEOMETRY

KW - GRAPH

U2 - 10.1007/JHEP01(2023)089

DO - 10.1007/JHEP01(2023)089

M3 - Journal article

VL - 2023

JO - Journal of High Energy Physics (Online)

JF - Journal of High Energy Physics (Online)

SN - 1126-6708

IS - 1

M1 - 89

ER -

ID: 337693935