Multi-threaded adaptive extrapolation procedure for Feynman loop integrals in the physical region

Feynman loop integrals appear in higher order corrections of interaction cross section calculations in perturbative quantum field theory. The integrals are computationally intensive especially in view of singularities which may occur within the integration domain. For the treatment of threshold and...

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Bibliographic Details
Published in:Journal of physics. Conference series 2013-08, Vol.454 (1), p.12082-10
Main Authors: de Doncker, E, Yuasa, F, Assaf, R
Format: Article
Language:English
Subjects:
Computation
Cross sections (physics)
Extrapolation
Field theory
Infrared
Integrals
Mathematical analysis
Parallel processing
Physics
Quantum field theory
Quantum theory
Singularities
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Summary:Feynman loop integrals appear in higher order corrections of interaction cross section calculations in perturbative quantum field theory. The integrals are computationally intensive especially in view of singularities which may occur within the integration domain. For the treatment of threshold and infrared singularities we developed techniques using iterated (repeated) adaptive integration and extrapolation. In this paper we describe a shared memory parallelization and its application to one- and two-loop problems, by multi-threading in the outer integrations of the iterated integral. The implementation is layered over OpenMP and retains the adaptive procedure of the sequential method exactly. We give performance results for loop integrals associated with various types of diagrams including one-loop box, pentagon, two-loop self-energy and two-loop vertex diagrams.
ISSN:1742-6596
1742-6588
1742-6596
DOI:10.1088/1742-6596/454/1/012082