Evaluation of Feynman integrals via numerical integration of differential equations
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arXiv
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| Format: | Preprint |
| Publié: |
2026
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| _version_ | 1866910042527105024 |
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| author | Rosàs, Pau Petit |
| author_facet | Rosàs, Pau Petit |
| contents | We revisit the idea of numerically integrating the differential form of Feynman integrals. With a novel approach for the treatment of branch cuts, we develop an integrator capable of evaluating a basis of master integrals in double and quadruple precision, with significantly smaller run times than other tools. This opens the door to evaluating higher complexity Feynman integrals on the fly in Monte Carlo generators, and enables a cheaper and easy to parallelise generation of grids for the topologies with prohibitive computational times. To show its performance, we test one- and two-loop integral families, achieving evaluation times in double precision of milliseconds and hundreds of milliseconds, respectively. We comment on the results and suggest room for improvement. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_05336 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Evaluation of Feynman integrals via numerical integration of differential equations Rosàs, Pau Petit High Energy Physics - Phenomenology We revisit the idea of numerically integrating the differential form of Feynman integrals. With a novel approach for the treatment of branch cuts, we develop an integrator capable of evaluating a basis of master integrals in double and quadruple precision, with significantly smaller run times than other tools. This opens the door to evaluating higher complexity Feynman integrals on the fly in Monte Carlo generators, and enables a cheaper and easy to parallelise generation of grids for the topologies with prohibitive computational times. To show its performance, we test one- and two-loop integral families, achieving evaluation times in double precision of milliseconds and hundreds of milliseconds, respectively. We comment on the results and suggest room for improvement. |
| title | Evaluation of Feynman integrals via numerical integration of differential equations |
| topic | High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2603.05336 |