MaRTIn – Massive Recursive Tensor Integration

We present MaRTIn , an extendable all-in-one package for calculating amplitudes up to two loops in an expansion in external momenta or using the method of infrared rearrangement. Renormalisable and non-renormalisable models can be supplied by the user; an implementation of the Standard Model is included in the package. In this manual, we discuss the scope and functionality of the software, and give instructions of its use. PROGRAM SUMMARY Program Title: MaRTIn CPC Library link to program files: https://doi.org/10.17632/bf96rjxnky.1 Developer's repository link: https://gitlab.com/manstam/martin Licensing provisions: GPLv3 Programming language: FORM , python Nature of problem: The computation of tree-level processes and quantum corrections in perturbation theory requires several complicated steps. This potentially includes diagram generation, resolving gauge and flavour algebras, spinor contractions, tensor reduction, application of integration-by-parts relations and scalar integration. Solution method: Arbitrary relativistic QFTs can be defined via field contents and Feynman rules. Additional information regarding the desired amplitude and compuation are supplied by the user. Using these inputs, all steps of the calculation are conducted automatically. Additional comments including restrictions and unusual features: MaRTIn is designed as an extensible all-in-one solution, no additional glue code is required. Currently, computations may be conducted up to two loops with either an expansion in external momenta or infrared rearrangement via a mass parameter. Several options for the treatment of γ 5 are implemented.

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Publication Details

Journal
Computer Physics Communications
Published
2024-09-10
DOI
https://doi.org/10.1016/j.cpc.2024.109372
Citations
5
Primary Topic
Tensor decomposition and applications
Type
article
Field-Weighted Citation Impact
1.63

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article

MaRTIn – Massive Recursive Tensor Integration

Joachim Brod, Tom Steudtner, Lorenz Hüdepohl, Emmanuel Stamou
5 citations
Computer Physics Communications
Tensor decomposition and applications
1.63
article

MaRTIn – Massive Recursive Tensor Integration

Joachim Brod, Tom Steudtner, Lorenz Hüdepohl, Emmanuel Stamou
article en
5 citations

Abstract

We present MaRTIn , an extendable all-in-one package for calculating amplitudes up to two loops in an expansion in external momenta or using the method of infrared rearrangement. Renormalisable and non-renormalisable models can be supplied by the user; an implementation of the Standard Model is included in the package. In this manual, we discuss the scope and functionality of the software, and give instructions of its use. PROGRAM SUMMARY Program Title: MaRTIn CPC Library link to program files: https://doi.org/10.17632/bf96rjxnky.1 Developer's repository link: https://gitlab.com/manstam/martin Licensing provisions: GPLv3 Programming language: FORM , python Nature of problem: The computation of tree-level processes and quantum corrections in perturbation theory requires several complicated steps. This potentially includes diagram generation, resolving gauge and flavour algebras, spinor contractions, tensor reduction, application of integration-by-parts relations and scalar integration. Solution method: Arbitrary relativistic QFTs can be defined via field contents and Feynman rules. Additional information regarding the desired amplitude and compuation are supplied by the user. Using these inputs, all steps of the calculation are conducted automatically. Additional comments including restrictions and unusual features: MaRTIn is designed as an extensible all-in-one solution, no additional glue code is required. Currently, computations may be conducted up to two loops with either an expansion in external momenta or infrared rearrangement via a mass parameter. Several options for the treatment of γ 5 are implemented.

Computer Physics CommunicationsVol. 306
TU Dortmund University (DE), Max Planck Computing and Data Facility (DE), University of Cincinnati (US)
U.S. Department of Energy
Openalex Percentile: Top 17%
Tensor decomposition and applications
1.63
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