Reduction of $ε$-expanded Feynman integrals
Fuente:
arXiv
Enregistré dans:
| Auteurs principaux: | , , , |
|---|---|
| Format: | Preprint |
| Publié: |
2025
|
| Sujets: | |
| Accès en ligne: | |
| Tags: |
Ajouter un tag
Pas de tags, Soyez le premier à ajouter un tag!
|
| _version_ | 1866915256153931776 |
|---|---|
| author | Ma, Yan-Qing Qin, Cong-Hao Tan, Ao Yan, Kai |
| author_facet | Ma, Yan-Qing Qin, Cong-Hao Tan, Ao Yan, Kai |
| contents | Since Feynman integrals (FIs) at higher spacetime dimensions are free of infrared and collinear divergence--and their ultraviolet divergences can be systematically subtracted--this allows us to construct a wide range of locally finite Feynman integrals. Especially, we propose a method named $\bar{R}$-operation to subtract out ultraviolet divergences that at the same time preserves infrared and collinear safety of the original FI. By expressing these locally finite FIs in terms of master integrals and imposing constraints on their $ε$-expanded forms, we reduce the $ε$-expanded master integrals to a minimal basis. We provide an automated package to identify such constraints, offering a tool useful for high-order perturbative computations. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_16766 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Reduction of $ε$-expanded Feynman integrals Ma, Yan-Qing Qin, Cong-Hao Tan, Ao Yan, Kai High Energy Physics - Phenomenology High Energy Physics - Theory Since Feynman integrals (FIs) at higher spacetime dimensions are free of infrared and collinear divergence--and their ultraviolet divergences can be systematically subtracted--this allows us to construct a wide range of locally finite Feynman integrals. Especially, we propose a method named $\bar{R}$-operation to subtract out ultraviolet divergences that at the same time preserves infrared and collinear safety of the original FI. By expressing these locally finite FIs in terms of master integrals and imposing constraints on their $ε$-expanded forms, we reduce the $ε$-expanded master integrals to a minimal basis. We provide an automated package to identify such constraints, offering a tool useful for high-order perturbative computations. |
| title | Reduction of $ε$-expanded Feynman integrals |
| topic | High Energy Physics - Phenomenology High Energy Physics - Theory |
| url | https://arxiv.org/abs/2504.16766 |