Five-loop massless propagator integrals
We develop a method to obtain ϵ-expansions of massless two-point integrals in position space, based on the constraints implied by symmetries of the asymptotic expansion of conformal four-point integrals. Together with parametric integration, we are able to fix the expansions of 170 genuine five-loop...
| Main Authors: | , , , |
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| Format: | Working paper |
| Published: |
2018
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| _version_ | 1797083910349258752 |
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| author | Georgoudis, A Gonçalves, V Panzer, E Pereira, R |
| author_facet | Georgoudis, A Gonçalves, V Panzer, E Pereira, R |
| author_sort | Georgoudis, A |
| collection | OXFORD |
| description | We develop a method to obtain ϵ-expansions of massless two-point integrals in position space, based on the constraints implied by symmetries of the asymptotic expansion of conformal four-point integrals. Together with parametric integration, we are able to fix the expansions of 170 genuine five-loop master integrals. In particular, we computed the expansions of all planar master integrals up to transcendental weight 9. |
| first_indexed | 2024-03-07T01:48:12Z |
| format | Working paper |
| id | oxford-uuid:992859da-4c9e-4be9-bab6-15607fbcc68a |
| institution | University of Oxford |
| last_indexed | 2024-03-07T01:48:12Z |
| publishDate | 2018 |
| record_format | dspace |
| spelling | oxford-uuid:992859da-4c9e-4be9-bab6-15607fbcc68a2022-03-27T00:12:11ZFive-loop massless propagator integralsWorking paperhttp://purl.org/coar/resource_type/c_8042uuid:992859da-4c9e-4be9-bab6-15607fbcc68aSymplectic Elements at Oxford2018Georgoudis, AGonçalves, VPanzer, EPereira, RWe develop a method to obtain ϵ-expansions of massless two-point integrals in position space, based on the constraints implied by symmetries of the asymptotic expansion of conformal four-point integrals. Together with parametric integration, we are able to fix the expansions of 170 genuine five-loop master integrals. In particular, we computed the expansions of all planar master integrals up to transcendental weight 9. |
| spellingShingle | Georgoudis, A Gonçalves, V Panzer, E Pereira, R Five-loop massless propagator integrals |
| title | Five-loop massless propagator integrals |
| title_full | Five-loop massless propagator integrals |
| title_fullStr | Five-loop massless propagator integrals |
| title_full_unstemmed | Five-loop massless propagator integrals |
| title_short | Five-loop massless propagator integrals |
| title_sort | five loop massless propagator integrals |
| work_keys_str_mv | AT georgoudisa fiveloopmasslesspropagatorintegrals AT goncalvesv fiveloopmasslesspropagatorintegrals AT panzere fiveloopmasslesspropagatorintegrals AT pereirar fiveloopmasslesspropagatorintegrals |