Tropical sampling from Feynman measures
Fuente:
arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866914039427235840 |
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| author | Borinsky, Michael Fraaije, Mathijs |
| author_facet | Borinsky, Michael Fraaije, Mathijs |
| contents | We introduce an algorithm that samples a set of loop momenta distributed as a given Feynman integrand. The algorithm uses the tropical sampling method and can be applied to evaluate phase-space-type integrals efficiently. We provide an implementation, momtrop, and apply it to a series of relevant integrals from the loop-tree duality framework. Compared to naive sampling methods, we observe convergence speedups by factors of more than $10^6$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_09613 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Tropical sampling from Feynman measures Borinsky, Michael Fraaije, Mathijs High Energy Physics - Theory High Energy Physics - Phenomenology Mathematical Physics We introduce an algorithm that samples a set of loop momenta distributed as a given Feynman integrand. The algorithm uses the tropical sampling method and can be applied to evaluate phase-space-type integrals efficiently. We provide an implementation, momtrop, and apply it to a series of relevant integrals from the loop-tree duality framework. Compared to naive sampling methods, we observe convergence speedups by factors of more than $10^6$. |
| title | Tropical sampling from Feynman measures |
| topic | High Energy Physics - Theory High Energy Physics - Phenomenology Mathematical Physics |
| url | https://arxiv.org/abs/2504.09613 |