An Analytic Computation of Three-Loop Five-Point Feynman Integrals
Fuente:
arXiv
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| Autori principali: | , , , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866916565520220160 |
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| author | Liu, Yuanche Matijašić, Antonela Miczajka, Julian Xu, Yingxuan Xu, Yongqun Zhang, Yang |
| author_facet | Liu, Yuanche Matijašić, Antonela Miczajka, Julian Xu, Yingxuan Xu, Yongqun Zhang, Yang |
| contents | We evaluate the three-loop five-point pentagon-box-box massless integral family in the dimensional regularization scheme, via canonical differential equation. We use tools from computational algebraic geometry to enable the necessary integral reductions. The boundary values of the differential equation are determined analytically in the Euclidean region. To express the final result, we introduce a new representation of weight six functions in terms of one-fold integrals over the product of weight-three functions with weight-two kernels that are derived from the differential equation. Our work paves the way to the analytic computation of three-loop multi-leg Feynman integrals. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_18697 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | An Analytic Computation of Three-Loop Five-Point Feynman Integrals Liu, Yuanche Matijašić, Antonela Miczajka, Julian Xu, Yingxuan Xu, Yongqun Zhang, Yang High Energy Physics - Phenomenology High Energy Physics - Theory We evaluate the three-loop five-point pentagon-box-box massless integral family in the dimensional regularization scheme, via canonical differential equation. We use tools from computational algebraic geometry to enable the necessary integral reductions. The boundary values of the differential equation are determined analytically in the Euclidean region. To express the final result, we introduce a new representation of weight six functions in terms of one-fold integrals over the product of weight-three functions with weight-two kernels that are derived from the differential equation. Our work paves the way to the analytic computation of three-loop multi-leg Feynman integrals. |
| title | An Analytic Computation of Three-Loop Five-Point Feynman Integrals |
| topic | High Energy Physics - Phenomenology High Energy Physics - Theory |
| url | https://arxiv.org/abs/2411.18697 |