High-speed evaluation of loop integrals using lattice rules

Lattice rules are implemented in CUDA for many-core computations on GPUs. A high-speed evaluation of Feynman loop integrals is presented, based on lattice rules and suitable transformations. The accuracy and efficiency of the method are compared for higher order sin m -transformations. Extensive res...

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Detalles Bibliográficos
Autores principales: de Doncker, E, Almulihi, A, Yuasa, F
Lenguaje:eng
Publicado: 2018
Materias:
Computing and Computers
Particle Physics - Phenomenology
Acceso en línea:https://dx.doi.org/10.1088/1742-6596/1085/5/052005
http://cds.cern.ch/record/2664844
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author de Doncker, E
Almulihi, A
Yuasa, F
author_facet de Doncker, E
Almulihi, A
Yuasa, F
author_sort de Doncker, E
collection CERN
description Lattice rules are implemented in CUDA for many-core computations on GPUs. A high-speed evaluation of Feynman loop integrals is presented, based on lattice rules and suitable transformations. The accuracy and efficiency of the method are compared for higher order sin m -transformations. Extensive results are reported for classes of diagrams including 2-loop box and 3-loop self-energy diagrams with massive internal lines. The method is further combined with an extrapolation with respect to the dimensional regularization parameter.
id oai-inspirehep.net-1700022
institution Organización Europea para la Investigación Nuclear
language eng
publishDate 2018
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spelling oai-inspirehep.net-17000222021-02-09T10:05:27Zdoi:10.1088/1742-6596/1085/5/052005http://cds.cern.ch/record/2664844engde Doncker, EAlmulihi, AYuasa, FHigh-speed evaluation of loop integrals using lattice rulesComputing and ComputersParticle Physics - PhenomenologyLattice rules are implemented in CUDA for many-core computations on GPUs. A high-speed evaluation of Feynman loop integrals is presented, based on lattice rules and suitable transformations. The accuracy and efficiency of the method are compared for higher order sin m -transformations. Extensive results are reported for classes of diagrams including 2-loop box and 3-loop self-energy diagrams with massive internal lines. The method is further combined with an extrapolation with respect to the dimensional regularization parameter.oai:inspirehep.net:17000222018
spellingShingle Computing and Computers
Particle Physics - Phenomenology
de Doncker, E
Almulihi, A
Yuasa, F
High-speed evaluation of loop integrals using lattice rules
title High-speed evaluation of loop integrals using lattice rules
title_full High-speed evaluation of loop integrals using lattice rules
title_fullStr High-speed evaluation of loop integrals using lattice rules
title_full_unstemmed High-speed evaluation of loop integrals using lattice rules
title_short High-speed evaluation of loop integrals using lattice rules
title_sort high-speed evaluation of loop integrals using lattice rules
topic Computing and Computers
Particle Physics - Phenomenology
url https://dx.doi.org/10.1088/1742-6596/1085/5/052005
http://cds.cern.ch/record/2664844
work_keys_str_mv AT dedonckere highspeedevaluationofloopintegralsusinglatticerules
AT almulihia highspeedevaluationofloopintegralsusinglatticerules
AT yuasaf highspeedevaluationofloopintegralsusinglatticerules

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