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| Hauptverfasser: | , , , , |
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| Online-Zugang: | https://arxiv.org/abs/2412.21054 |
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| _version_ | 1866910766815248384 |
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| author | Huang, Rui-Jun Jian, Dong-Shan Ma, Yan-Qing Mu, Dao-Ming Wu, Wen-Hao |
| author_facet | Huang, Rui-Jun Jian, Dong-Shan Ma, Yan-Qing Mu, Dao-Ming Wu, Wen-Hao |
| contents | We propose a novel method, called the dimension-changing transformation (DCT), to compute one-loop Feynman integrals and recently introduced fixed-branch integrals to arbitrary orders in $ε$. The DCT relates one-loop Feynman integrals or fixed-branch integrals in one spacetime dimension to their corresponding quantities with auxiliary mass in any other dimension, making the expansion to high orders in $ε$ highly efficient. We applied this method to several examples to demonstrate its validity and efficiency. The approach introduced in this work has been implemented in an open-source C++ package, available at \href{https://gitlab.com/multiloop-pku/dct}{https://gitlab.com/multiloop-pku/dct}. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_21054 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Efficient Computation of One-Loop Feynman Integrals and Fixed-Branch Integrals to High Orders in $ε$ Huang, Rui-Jun Jian, Dong-Shan Ma, Yan-Qing Mu, Dao-Ming Wu, Wen-Hao High Energy Physics - Phenomenology We propose a novel method, called the dimension-changing transformation (DCT), to compute one-loop Feynman integrals and recently introduced fixed-branch integrals to arbitrary orders in $ε$. The DCT relates one-loop Feynman integrals or fixed-branch integrals in one spacetime dimension to their corresponding quantities with auxiliary mass in any other dimension, making the expansion to high orders in $ε$ highly efficient. We applied this method to several examples to demonstrate its validity and efficiency. The approach introduced in this work has been implemented in an open-source C++ package, available at \href{https://gitlab.com/multiloop-pku/dct}{https://gitlab.com/multiloop-pku/dct}. |
| title | Efficient Computation of One-Loop Feynman Integrals and Fixed-Branch Integrals to High Orders in $ε$ |
| topic | High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2412.21054 |