Tensor Loop Reduction via the Baikov Representation and an Auxiliary Vector
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arXiv
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| Format: | Preprint |
| Published: |
2023
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| _version_ | 1866913334933061632 |
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| author | Zhang, Liang |
| author_facet | Zhang, Liang |
| contents | In this paper, we introduce a simple and efficient approach for the general reduction of one-loop integrals. Our method employs the introduction of an auxiliary vector and the identification of the tensor structure as an auxiliary propagator. This key insight allows us to express a wide range of one-loop integrals, encompassing both tensor structures and higher poles, in the Baikov representation. By establishing an integral-by-parts (IBP) relation, we derive a recursive formula that systematically solves the one-loop reduction problem, even in the presence of various degenerate cases. Our proposed strategy is characterized by its simplicity and effectiveness, offering a significant advancement in the field of one-loop calculations. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2309_00930 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Tensor Loop Reduction via the Baikov Representation and an Auxiliary Vector Zhang, Liang High Energy Physics - Phenomenology High Energy Physics - Theory In this paper, we introduce a simple and efficient approach for the general reduction of one-loop integrals. Our method employs the introduction of an auxiliary vector and the identification of the tensor structure as an auxiliary propagator. This key insight allows us to express a wide range of one-loop integrals, encompassing both tensor structures and higher poles, in the Baikov representation. By establishing an integral-by-parts (IBP) relation, we derive a recursive formula that systematically solves the one-loop reduction problem, even in the presence of various degenerate cases. Our proposed strategy is characterized by its simplicity and effectiveness, offering a significant advancement in the field of one-loop calculations. |
| title | Tensor Loop Reduction via the Baikov Representation and an Auxiliary Vector |
| topic | High Energy Physics - Phenomenology High Energy Physics - Theory |
| url | https://arxiv.org/abs/2309.00930 |