GKZ hypergeometric systems of the three-loop vacuum Feynman integrals (Q6163093)

scientific article; zbMATH DE number 7701890

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English	GKZ hypergeometric systems of the three-loop vacuum Feynman integrals	scientific article; zbMATH DE number 7701890

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instance of

scholarly article

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title

GKZ hypergeometric systems of the three-loop vacuum Feynman integrals (English)

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Journal of High Energy Physics

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publication date

26 June 2023

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full work available at URL

https://arxiv.org/abs/2303.02795

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zbMATH Keywords

higher order electroweak calculations

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differential and algebraic geometry

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scattering amplitudes

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MaRDI profile type

MaRDI publication profile

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cites work

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Three-loop vacuum integrals with arbitrary masses

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Some exact results for <i>N</i>-point massive Feynman integrals

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Non-planar massless two-loop Feynman diagrams with four on-shell legs

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A new hypergeometric representation of one-loop scalar integrals in \(d\) dimensions

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Towards all-order Laurent expansion of generalised hypergeometric functions about rational values of parameters

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Generalized Euler integrals and \(A\)-hypergeometric functions

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Feynman integrals as A-hypergeometric functions

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Hypergeometric series representations of Feynman integrals by GKZ hypergeometric systems

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Critical points and number of master integrals

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Algorithmic computation of local cohomology modules and the local cohomological dimension of algebraic varieties

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Lie Theory and Generalized Hypergeometric Functions

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Landau discriminants

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On Feynman graphs, matroids, and GKZ-systems

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\texttt{FeynGKZ}: a \textit{Mathematica} package for solving Feynman integrals using GKZ hypergeometric systems

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Identifiers

arXiv ID

2303.02795

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DOI

10.1007/jhep05(2023)075

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:6163093