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Analytic multi-loop results using finite fields anddataflow graphs with FiniteFlow


Peraro, Tiziano (2019). Analytic multi-loop results using finite fields anddataflow graphs with FiniteFlow. In: 14th International Symposium on Radiative Corrections (RADCAR2019), Palais des Papes, Avignon, France, 9 December 2019 - 13 December 2019.

Abstract

FINITEFLOWis a public framework for defining and executing numerical algorithms over finitefields and reconstructing multivariate rational functions. The framework allows to build complexalgorithms by combining basic building blocks into graphical representations of the calculation,known as dataflow graphs. It offers an easy-to-use MATHEMATICAinterface for implementingefficient custom algorithms without any low-level coding. We report on some new features ofFINITEFLOWwhich have been published after its initial release, give some simple example ofusage for common tasks and review recent cutting-edge applications to two-loop five-point scat-tering and the four-loop cusp anomalous dimension.

Abstract

FINITEFLOWis a public framework for defining and executing numerical algorithms over finitefields and reconstructing multivariate rational functions. The framework allows to build complexalgorithms by combining basic building blocks into graphical representations of the calculation,known as dataflow graphs. It offers an easy-to-use MATHEMATICAinterface for implementingefficient custom algorithms without any low-level coding. We report on some new features ofFINITEFLOWwhich have been published after its initial release, give some simple example ofusage for common tasks and review recent cutting-edge applications to two-loop five-point scat-tering and the four-loop cusp anomalous dimension.

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Additional indexing

Item Type:Conference or Workshop Item (Speech), not_refereed, original work
Communities & Collections:07 Faculty of Science > Physics Institute
Dewey Decimal Classification:530 Physics
Language:English
Event End Date:13 December 2019
Deposited On:20 Dec 2019 13:47
Last Modified:20 Dec 2019 13:47
Publisher:SISSA
Series Name:PoS - Proceedings of Science
ISSN:1824-8039
OA Status:Gold
Free access at:Publisher DOI. An embargo period may apply.

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