A complete two-loop, five-gluon helicity amplitude in Yang-Mills theory
We compute the integrand of the full-colour, two-loop, five-gluon scattering amplitude in pure Yang-Mills theory with all helicities positive, using generalized unitarity cuts. Tree-level BCJ relations, satisfied by amplitudes appearing in the cuts, allow us to deduce all the necessary non-planar in...
| Main Authors: | , , , |
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| Format: | Journal article |
| Language: | English |
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Springer
2015
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| _version_ | 1797077200304865280 |
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| author | Ochirov, A Badger, S Mogull, G O’Connell, D |
| author_facet | Ochirov, A Badger, S Mogull, G O’Connell, D |
| author_sort | Ochirov, A |
| collection | OXFORD |
| description | We compute the integrand of the full-colour, two-loop, five-gluon scattering amplitude in pure Yang-Mills theory with all helicities positive, using generalized unitarity cuts. Tree-level BCJ relations, satisfied by amplitudes appearing in the cuts, allow us to deduce all the necessary non-planar information for the full-colour amplitude from known planar data. We present our result in terms of irreducible numerators, with colour factors derived from the multi-peripheral colour decomposition. Finally, the leading soft divergences are checked to reproduce the expected infrared behaviour. |
| first_indexed | 2024-03-07T00:14:29Z |
| format | Journal article |
| id | oxford-uuid:7a59a471-0a70-42bc-b752-dac12b9dedba |
| institution | University of Oxford |
| language | English |
| last_indexed | 2024-03-07T00:14:29Z |
| publishDate | 2015 |
| publisher | Springer |
| record_format | dspace |
| spelling | oxford-uuid:7a59a471-0a70-42bc-b752-dac12b9dedba2022-03-26T20:43:29ZA complete two-loop, five-gluon helicity amplitude in Yang-Mills theoryJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:7a59a471-0a70-42bc-b752-dac12b9dedbaEnglishSymplectic ElementsSpringer2015Ochirov, ABadger, SMogull, GO’Connell, DWe compute the integrand of the full-colour, two-loop, five-gluon scattering amplitude in pure Yang-Mills theory with all helicities positive, using generalized unitarity cuts. Tree-level BCJ relations, satisfied by amplitudes appearing in the cuts, allow us to deduce all the necessary non-planar information for the full-colour amplitude from known planar data. We present our result in terms of irreducible numerators, with colour factors derived from the multi-peripheral colour decomposition. Finally, the leading soft divergences are checked to reproduce the expected infrared behaviour. |
| spellingShingle | Ochirov, A Badger, S Mogull, G O’Connell, D A complete two-loop, five-gluon helicity amplitude in Yang-Mills theory |
| title | A complete two-loop, five-gluon helicity amplitude in Yang-Mills theory |
| title_full | A complete two-loop, five-gluon helicity amplitude in Yang-Mills theory |
| title_fullStr | A complete two-loop, five-gluon helicity amplitude in Yang-Mills theory |
| title_full_unstemmed | A complete two-loop, five-gluon helicity amplitude in Yang-Mills theory |
| title_short | A complete two-loop, five-gluon helicity amplitude in Yang-Mills theory |
| title_sort | complete two loop five gluon helicity amplitude in yang mills theory |
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