Scaling up to Multivariate Rational Function Reconstruction
Fuente:
arXiv
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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2024
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866909779910197248 |
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| author | Maier, Andreas |
| author_facet | Maier, Andreas |
| contents | I present an algorithm for the reconstruction of multivariate rational functions from black-box probes. The arguably most important application in high-energy physics is the calculation of multi-loop and multi-leg amplitudes, where rational functions appear as coefficients in the integration-by-parts reduction to basis integrals. I show that for a dense coefficient the algorithm is nearly optimal, in the sense that the number of required probes is close to the number of unknowns. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_08757 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Scaling up to Multivariate Rational Function Reconstruction Maier, Andreas High Energy Physics - Phenomenology I present an algorithm for the reconstruction of multivariate rational functions from black-box probes. The arguably most important application in high-energy physics is the calculation of multi-loop and multi-leg amplitudes, where rational functions appear as coefficients in the integration-by-parts reduction to basis integrals. I show that for a dense coefficient the algorithm is nearly optimal, in the sense that the number of required probes is close to the number of unknowns. |
| title | Scaling up to Multivariate Rational Function Reconstruction |
| topic | High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2409.08757 |