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  A GPU compatible quasi-Monte Carlo integrator interfaced to pySecDec

Borowka, S., Heinrich, G., Jahn, S., Jones, S., Kerner, M., & Schlenk, J. (2019). A GPU compatible quasi-Monte Carlo integrator interfaced to pySecDec. Computer Physics Communications, 240, 120. Retrieved from https://publications.mppmu.mpg.de/?action=search&mpi=MPP-2018-279.

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Item Permalink: https://hdl.handle.net/21.11116/0000-0005-D7A7-C Version Permalink: https://hdl.handle.net/21.11116/0000-0005-D7A8-B
Genre: Journal Article

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 Creators:
Borowka, S.1, Author
Heinrich, G.1, Author
Jahn, S.1, Author
Jones, S.P.1, Author
Kerner, M.1, Author
Schlenk, J.1, Author
Affiliations:
1Max Planck Institute for Physics, Max Planck Society and Cooperation Partners, ou_2253650              

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Free keywords: Phenomenology of High Energy Physics
 Abstract: The purely numerical evaluation of multi-loop integrals and amplitudes can be a viable alternative to analytic approaches, in particular in the presence of several mass scales, provided sufficient accuracy can be achieved in an acceptable amount of time. For many multi-loop integrals, the fraction of time required to perform the numerical integration is significant and it is therefore beneficial to have efficient and well-implemented numerical integration methods. With this goal in mind, we present a new stand-alone integrator based on the use of (quasi-Monte Carlo) rank-1 shifted lattice rules. For integrals with high variance we also implement a variance reduction algorithm based on fitting a smooth function to the inverse cumulative distribution function of the integrand dimension-by-dimension. Additionally, the new integrator is interfaced to pySecDec to allow the straightforward evaluation of multi-loop integrals and dimensionally regulated parameter integrals. In order to make use of recent advances in parallel computing hardware, our integrator can be used both on CPUs and CUDA compatible GPUs where available.

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 Dates: 2019
 Publication Status: Issued
 Pages: -
 Publishing info: -
 Table of Contents: -
 Rev. Type: -
 Identifiers: Other: MPP-2018-279
URI: https://publications.mppmu.mpg.de/?action=search&mpi=MPP-2018-279
arXiv: arxiv:1811.11720
URI: https://inspirehep.net/search?p=find+eprint+1811.11720
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Title: Computer Physics Communications
  Abbreviation : Comput.Phys.Commun.
Source Genre: Journal
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Pages: - Volume / Issue: 240 Sequence Number: - Start / End Page: 120 Identifier: -