sirena-ibp 0.1.1

Sum-Integral REductioN Algorithm

SIRENA — Sum-Integral REductioN Algorithm

SIRENA is a Python package (with C++ support) for the automatic reduction of sum-integrals, the finite temperature analogs of Feynman integrals in quantum field theory. It finds momentum shift symmetries among sum-integrals, and exploits integration-by-parts (IBP) relations [arXiv:1207.4042] via the Laporta algorithm [arXiv:hep-ph/0102033] to express any sum-integral as linear combinations of a set of master sum-integrals which are left to evaluate.

It is the first publicly available code to adapt these techniques to the particular Matsubara sum structure in sum-integrals, which requires a careful treatment of bosonic and fermionic cases separately. As such, it bridges the gap between theoretical developments and their practical implementation, and provides a simple interface that allows the user to reduce any set of sum-integrals with minimal interaction.

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Installation

SIRENA can be installed from the official PyPI repository via the following shell command:

$ pip install sirena-ibp

(Python 3.10+ is required)

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Usage

The correct installation of the package can be tested via the shell command

$ sirena --demo

A comprehensive guide to SIRENA can be found in the original publication [arXiv:2605.06775]. Some input examples are available in the program files, in the examples/ directory.

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Authors

• Luis Gil - Universidad de Granada
• Javier López Miras - Universidad de Granada
• Adrián Moreno-Sánchez - Universidad de Granada

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License

SIRENA is free software under the terms of the GNU General Public License v3.0.

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Reference

If you use SIRENA please cite: [arXiv:2605.06775].

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Acknowledgments

We thank Mikael Chala for sparking this project, and for his continued support during its development. We are also indebted to Pablo Navarrete for useful discussions.