Analytic and numerical approaches for depictive 3-loop integrals using sector decomposition
Fuente:
arXiv
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| Autori principali: | , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| Soggetti: | |
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| _version_ | 1866913521594269696 |
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| author | de Doncker, Elise Ishikawa, Tadashi Kato, Kiyoshi Yuasa, Fukuko |
| author_facet | de Doncker, Elise Ishikawa, Tadashi Kato, Kiyoshi Yuasa, Fukuko |
| contents | Four 3-loop two-point functions are studied analytically and numerically using a simplified sector decomposition method. The coefficients of the ultraviolet divergent part are determined analytically, and those of the finite part are computed numerically. The energy dependence of the integrals is shown explicitly, and a discussion of its behavior is presented. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_13286 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Analytic and numerical approaches for depictive 3-loop integrals using sector decomposition de Doncker, Elise Ishikawa, Tadashi Kato, Kiyoshi Yuasa, Fukuko High Energy Physics - Phenomenology Four 3-loop two-point functions are studied analytically and numerically using a simplified sector decomposition method. The coefficients of the ultraviolet divergent part are determined analytically, and those of the finite part are computed numerically. The energy dependence of the integrals is shown explicitly, and a discussion of its behavior is presented. |
| title | Analytic and numerical approaches for depictive 3-loop integrals using sector decomposition |
| topic | High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2405.13286 |