Some analytic results for two-loop scattering amplitudes
We present analytic results for the finite diagrams contributing to the two-loop eight-point MHV scattering amplitude of planar N = 4 SYM. We use a recently proposed representation for the integrand of the amplitude in terms of (momentum) twistors and focus on a restricted kinematics in which the an...
| Main Author: | |
|---|---|
| Format: | Journal article |
| Language: | English |
| Published: |
2011
|
| _version_ | 1797054417908793344 |
|---|---|
| author | Alday, L |
| author_facet | Alday, L |
| author_sort | Alday, L |
| collection | OXFORD |
| description | We present analytic results for the finite diagrams contributing to the two-loop eight-point MHV scattering amplitude of planar N = 4 SYM. We use a recently proposed representation for the integrand of the amplitude in terms of (momentum) twistors and focus on a restricted kinematics in which the answer depends only on two independent cross-ratios. The theory of motives can be used to vastly simplify the results, which can be xpressed as simple combinations of classical polylogarithms. © SISSA 2011. |
| first_indexed | 2024-03-06T18:57:00Z |
| format | Journal article |
| id | oxford-uuid:122de067-d40e-46ea-819b-856a5bfe492a |
| institution | University of Oxford |
| language | English |
| last_indexed | 2024-03-06T18:57:00Z |
| publishDate | 2011 |
| record_format | dspace |
| spelling | oxford-uuid:122de067-d40e-46ea-819b-856a5bfe492a2022-03-26T10:06:26ZSome analytic results for two-loop scattering amplitudesJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:122de067-d40e-46ea-819b-856a5bfe492aEnglishSymplectic Elements at Oxford2011Alday, LWe present analytic results for the finite diagrams contributing to the two-loop eight-point MHV scattering amplitude of planar N = 4 SYM. We use a recently proposed representation for the integrand of the amplitude in terms of (momentum) twistors and focus on a restricted kinematics in which the answer depends only on two independent cross-ratios. The theory of motives can be used to vastly simplify the results, which can be xpressed as simple combinations of classical polylogarithms. © SISSA 2011. |
| spellingShingle | Alday, L Some analytic results for two-loop scattering amplitudes |
| title | Some analytic results for two-loop scattering amplitudes |
| title_full | Some analytic results for two-loop scattering amplitudes |
| title_fullStr | Some analytic results for two-loop scattering amplitudes |
| title_full_unstemmed | Some analytic results for two-loop scattering amplitudes |
| title_short | Some analytic results for two-loop scattering amplitudes |
| title_sort | some analytic results for two loop scattering amplitudes |
| work_keys_str_mv | AT aldayl someanalyticresultsfortwoloopscatteringamplitudes |