An Explicit Expression of Generating Function for One-Loop Tensor Reduction
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arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2023
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| _version_ | 1866916270099660800 |
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| author | Hu, Chang Li, Tingfei Shen, Jiyuan Xu, Yongqun |
| author_facet | Hu, Chang Li, Tingfei Shen, Jiyuan Xu, Yongqun |
| contents | This work introduces an explicit expression for the generation function for the reduction of an $n$-gon to an $(n-k)$-gon. A novel recursive relation of generation function is formulated based on Feynman Parametrization in projective space, involving a single ordinary differential equation. The explicit formulation of generation functions provides crucial insights into the complex analytic structure inherent in loop amplitudes. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2308_13336 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | An Explicit Expression of Generating Function for One-Loop Tensor Reduction Hu, Chang Li, Tingfei Shen, Jiyuan Xu, Yongqun High Energy Physics - Phenomenology High Energy Physics - Theory This work introduces an explicit expression for the generation function for the reduction of an $n$-gon to an $(n-k)$-gon. A novel recursive relation of generation function is formulated based on Feynman Parametrization in projective space, involving a single ordinary differential equation. The explicit formulation of generation functions provides crucial insights into the complex analytic structure inherent in loop amplitudes. |
| title | An Explicit Expression of Generating Function for One-Loop Tensor Reduction |
| topic | High Energy Physics - Phenomenology High Energy Physics - Theory |
| url | https://arxiv.org/abs/2308.13336 |