Feynman integral reduction using Gröbner bases

A bstract We investigate the reduction of Feynman integrals to master integrals using Gröbner bases in a rational double-shift algebra Y in which the integration-by-parts (IBP) relations form a left ideal. The problem of reducing a given family of integrals to master integrals can then be solved onc...

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Veröffentlicht in:	The journal of high energy physics Jg. 2023; H. 5; S. 168 - 33
Hauptverfasser:	Barakat, Mohamed, Brüser, Robin, Fieker, Claus, Huber, Tobias, Piclum, Jan
Format:	Journal Article
Sprache:	Englisch
Veröffentlicht:	Berlin/Heidelberg Springer Berlin Heidelberg 19.05.2023 Springer Nature B.V SpringerOpen
Schlagworte:	Algorithms Classical and Quantum Gravitation Differential and Algebraic Geometry Elementary Particles Geometry High energy physics Higher-Order Perturbative Calculations Integrals Kinematics Linear algebra Non-Commutative Geometry Operators (mathematics) Partial differential equations Physics Physics and Astronomy Quantum Field Theories Quantum Field Theory Quantum Physics Reduction Regular Article - Theoretical Physics Relativity Theory String Theory Non-Commutative Geometry Differential and Algebraic Geometry Higher-Order Perturbative Calculations
ISSN:	1029-8479, 1029-8479
Online-Zugang:	Volltext
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