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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2026
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2605.06775 |
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| _version_ | 1866917469753442304 |
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| author | Gil, Luis Miras, Javier López Moreno-Sánchez, Adrián |
| author_facet | Gil, Luis Miras, Javier López Moreno-Sánchez, Adrián |
| contents | We present SIRENA, a Python and C++ implementation of the Laporta algorithm for the automatic reduction of multi-loop sum-integrals via integration-by-parts identities. The method builds on established techniques for zero-temperature Feynman integrals and extends them to finite-temperature quantum field theory by consistently accounting for the Matsubara sum structure. We validate the framework by reproducing several known results from the literature up to 3-loop order, and we further provide, for the first time, reductions for selected 3-loop fermionic sum-integrals. In addition to the package, we derive an analytic factorization formula for arbitrary 2-loop fermionic sum-integrals, extending on a previous result for the bosonic case. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_06775 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | SIRENA -- Sum-Integral REductioN Algorithm Gil, Luis Miras, Javier López Moreno-Sánchez, Adrián High Energy Physics - Phenomenology We present SIRENA, a Python and C++ implementation of the Laporta algorithm for the automatic reduction of multi-loop sum-integrals via integration-by-parts identities. The method builds on established techniques for zero-temperature Feynman integrals and extends them to finite-temperature quantum field theory by consistently accounting for the Matsubara sum structure. We validate the framework by reproducing several known results from the literature up to 3-loop order, and we further provide, for the first time, reductions for selected 3-loop fermionic sum-integrals. In addition to the package, we derive an analytic factorization formula for arbitrary 2-loop fermionic sum-integrals, extending on a previous result for the bosonic case. |
| title | SIRENA -- Sum-Integral REductioN Algorithm |
| topic | High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2605.06775 |