One-loop Integrals from Volumes of Orthoschemes
Fuente:
arXiv
Saved in:
| Main Authors: | , , , |
|---|---|
| Format: | Preprint |
| Published: |
2023
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866914749791338496 |
|---|---|
| author | Ren, Lecheng Spradlin, Marcus Vergu, Cristian Volovich, Anastasia |
| author_facet | Ren, Lecheng Spradlin, Marcus Vergu, Cristian Volovich, Anastasia |
| contents | Recently in arXiv:2012.05599 Rudenko presented a formula for the volume of hyperbolic orthoschemes in terms of alternating polylogarithms. We use this result to provide an explicit analytic result for the one-loop scalar n-gon Feynman integral in n dimensions, for even n, with massless or massive internal and external edges. Furthermore, we evaluate the general six-dimensional hexagon integral in terms of classical polylogarithms. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2306_04630 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | One-loop Integrals from Volumes of Orthoschemes Ren, Lecheng Spradlin, Marcus Vergu, Cristian Volovich, Anastasia High Energy Physics - Theory Recently in arXiv:2012.05599 Rudenko presented a formula for the volume of hyperbolic orthoschemes in terms of alternating polylogarithms. We use this result to provide an explicit analytic result for the one-loop scalar n-gon Feynman integral in n dimensions, for even n, with massless or massive internal and external edges. Furthermore, we evaluate the general six-dimensional hexagon integral in terms of classical polylogarithms. |
| title | One-loop Integrals from Volumes of Orthoschemes |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2306.04630 |