Proving the dimension-shift conjecture
We prove the conjecture made by Bern, Dixon, Dunbar, and Kosower that describes a simple dimension shifting relationship between the one-loop structure of N = 4 MHV amplitudes and all-plus helicity amplitudes in pure Yang-Mills theory. The proof captures all orders in dimensional regularisation...
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| Format: | Article |
| Language: | English |
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SciPost
2022-06-01
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| Series: | SciPost Physics Proceedings |
| Online Access: | https://scipost.org/SciPostPhysProc.7.009 |
| _version_ | 1818213971334791168 |
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| author | Ruth Britto, Guy R. Jehu, Andrea Orta |
| author_facet | Ruth Britto, Guy R. Jehu, Andrea Orta |
| author_sort | Ruth Britto, Guy R. Jehu, Andrea Orta |
| collection | DOAJ |
| description | We prove the conjecture made by Bern, Dixon, Dunbar, and Kosower that describes a
simple dimension shifting relationship between the one-loop structure of N = 4 MHV
amplitudes and all-plus helicity amplitudes in pure Yang-Mills theory. The proof captures all orders in dimensional regularisation using unitarity cuts, by combining massive spinor-helicity with Coulomb-branch supersymmetry. The form of these amplitudes
can be given in terms of pentagon and box integrals using a generalised D-dimensional |
| first_indexed | 2024-12-12T06:12:46Z |
| format | Article |
| id | doaj.art-4c0f46e0c7c6437fb9e7d23e092eedab |
| institution | Directory Open Access Journal |
| issn | 2666-4003 |
| language | English |
| last_indexed | 2024-12-12T06:12:46Z |
| publishDate | 2022-06-01 |
| publisher | SciPost |
| record_format | Article |
| series | SciPost Physics Proceedings |
| spelling | doaj.art-4c0f46e0c7c6437fb9e7d23e092eedab2022-12-22T00:35:08ZengSciPostSciPost Physics Proceedings2666-40032022-06-01700910.21468/SciPostPhysProc.7.009Proving the dimension-shift conjectureRuth Britto, Guy R. Jehu, Andrea OrtaWe prove the conjecture made by Bern, Dixon, Dunbar, and Kosower that describes a simple dimension shifting relationship between the one-loop structure of N = 4 MHV amplitudes and all-plus helicity amplitudes in pure Yang-Mills theory. The proof captures all orders in dimensional regularisation using unitarity cuts, by combining massive spinor-helicity with Coulomb-branch supersymmetry. The form of these amplitudes can be given in terms of pentagon and box integrals using a generalised D-dimensionalhttps://scipost.org/SciPostPhysProc.7.009 |
| spellingShingle | Ruth Britto, Guy R. Jehu, Andrea Orta Proving the dimension-shift conjecture SciPost Physics Proceedings |
| title | Proving the dimension-shift conjecture |
| title_full | Proving the dimension-shift conjecture |
| title_fullStr | Proving the dimension-shift conjecture |
| title_full_unstemmed | Proving the dimension-shift conjecture |
| title_short | Proving the dimension-shift conjecture |
| title_sort | proving the dimension shift conjecture |
| url | https://scipost.org/SciPostPhysProc.7.009 |
| work_keys_str_mv | AT ruthbrittoguyrjehuandreaorta provingthedimensionshiftconjecture |