Notes on Fourier transform and its application to three-point momentum-space integrals
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arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866912730740424704 |
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| author | Jiang, Xuhang |
| author_facet | Jiang, Xuhang |
| contents | The Fourier transform of two-point momentum-space Feynman integrals with massless propagators and two off-shell legs can be used to prove identities between their periods, exemplified by the glue-and-cut identity. We generalize this framework to massless momentum-space Feynman integrals with three off-shell legs and obtain a similar family of identities that can be used to calculate these integrals, especially for a non-planar subset of them, which naturally arise in the off-shell Sudakov form factors. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_21493 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Notes on Fourier transform and its application to three-point momentum-space integrals Jiang, Xuhang High Energy Physics - Theory High Energy Physics - Phenomenology The Fourier transform of two-point momentum-space Feynman integrals with massless propagators and two off-shell legs can be used to prove identities between their periods, exemplified by the glue-and-cut identity. We generalize this framework to massless momentum-space Feynman integrals with three off-shell legs and obtain a similar family of identities that can be used to calculate these integrals, especially for a non-planar subset of them, which naturally arise in the off-shell Sudakov form factors. |
| title | Notes on Fourier transform and its application to three-point momentum-space integrals |
| topic | High Energy Physics - Theory High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2511.21493 |