FIRE 6.5: Feynman integral reduction with new simplification library

Alexander V. Smirnov; Mao Zeng

doi:10.1016/j.cpc.2024.109261

FIRE 6.5: Feynman integral reduction with new simplification library

Alexander V. Smirnov^*, Mao Zeng

^*Corresponding author for this work

School of Physics and Astronomy

Research output: Contribution to journal › Article › peer-review

Abstract

FIRE is a program which performs integration-by-parts (IBP) reductions of Feynman integrals. Originally, the C++ version of FIRE relies on the computer algebra system Fermat by Robert Lewis to simplify rational functions. We present an upgrade of FIRE which incorporates a new library FUEL initially described in a separate publication, which enables a flexible choice of third-party computer algebra systems as simplifiers, as well as efficient communications with some of the simplifiers as C++ libraries rather than through Unix pipes. We achieve significant speedups for IBP reductions of Feynman integrals involving many kinematic variables, when using an open source backend based on FLINT newly added in this work, or the Symbolica backend developed by Ben Ruijl as a potential successor of FORM.

Original language	English
Article number	109261
Pages (from-to)	1-7
Number of pages	7
Journal	Computer Physics Communications
Volume	302
Early online date	24 May 2024
DOIs	https://doi.org/10.1016/j.cpc.2024.109261
Publication status	Published - 1 Sept 2024

Keywords / Materials (for Non-textual outputs)

Feynman integrals
Integrate by parts
Computer algebra

Access to Document

10.1016/j.cpc.2024.109261

https://arxiv.org/abs/2311.02370Licence: Creative Commons: Attribution (CC-BY)

Scattering amplitudes and applications to precision QCD and gravitational waves
Zeng, M.
Other (Learned Society)
1/08/21 → 31/12/25
Project: Research

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title = "FIRE 6.5: Feynman integral reduction with new simplification library",

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N2 - FIRE is a program which performs integration-by-parts (IBP) reductions of Feynman integrals. Originally, the C++ version of FIRE relies on the computer algebra system Fermat by Robert Lewis to simplify rational functions. We present an upgrade of FIRE which incorporates a new library FUEL initially described in a separate publication, which enables a flexible choice of third-party computer algebra systems as simplifiers, as well as efficient communications with some of the simplifiers as C++ libraries rather than through Unix pipes. We achieve significant speedups for IBP reductions of Feynman integrals involving many kinematic variables, when using an open source backend based on FLINT newly added in this work, or the Symbolica backend developed by Ben Ruijl as a potential successor of FORM.

AB - FIRE is a program which performs integration-by-parts (IBP) reductions of Feynman integrals. Originally, the C++ version of FIRE relies on the computer algebra system Fermat by Robert Lewis to simplify rational functions. We present an upgrade of FIRE which incorporates a new library FUEL initially described in a separate publication, which enables a flexible choice of third-party computer algebra systems as simplifiers, as well as efficient communications with some of the simplifiers as C++ libraries rather than through Unix pipes. We achieve significant speedups for IBP reductions of Feynman integrals involving many kinematic variables, when using an open source backend based on FLINT newly added in this work, or the Symbolica backend developed by Ben Ruijl as a potential successor of FORM.

KW - Feynman integrals

KW - Integrate by parts

KW - Computer algebra

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DO - 10.1016/j.cpc.2024.109261

M3 - Article

SN - 0010-4655

VL - 302

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EP - 7

JO - Computer Physics Communications

JF - Computer Physics Communications

M1 - 109261

ER -

FIRE 6.5: Feynman integral reduction with new simplification library

Abstract

Keywords / Materials (for Non-textual outputs)

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Projects

Scattering amplitudes and applications to precision QCD and gravitational waves

Cite this