Berends-Giele recursions and the BCJ duality in superspace and components
Berends-Giele recursions and the BCJ duality in superspace and components
The recursive method of Berends and Giele to compute tree-level gluon amplitudes is revisited using the framework of ten-dimensional super Yang-Mills. First we prove that the pure spinor formula to compute SYM tree amplitudes derived in 2010 reduces to the standard Berends-Giele formula from the 80s when restricted to gluon amplitudes and additionally determine the fermionic completion. Second, using BRST cohomology manipulations in superspace, alternative representations of the component amplitudes are explored and the Bern-Carrasco-Johansson relations among partial tree amplitudes are derived in a novel way. Finally, it is shown how the supersymmetric components of manifestly local BCJ-satisfying tree-level numerators can be computed in a recursive fashion.
hep-th
Mafra, Carlos R.
5a40c14f-0ddb-4c0c-9ce5-acabc537cd01
Schlotterer, Oliver
d30fbe50-b9eb-489a-ad79-0dd212ef4e0e
15 March 2016
Mafra, Carlos R.
5a40c14f-0ddb-4c0c-9ce5-acabc537cd01
Schlotterer, Oliver
d30fbe50-b9eb-489a-ad79-0dd212ef4e0e
Mafra, Carlos R. and Schlotterer, Oliver
(2016)
Berends-Giele recursions and the BCJ duality in superspace and components.
Journal of High Energy Physics.
(doi:10.1007/JHEP03(2016)097).
Abstract
The recursive method of Berends and Giele to compute tree-level gluon amplitudes is revisited using the framework of ten-dimensional super Yang-Mills. First we prove that the pure spinor formula to compute SYM tree amplitudes derived in 2010 reduces to the standard Berends-Giele formula from the 80s when restricted to gluon amplitudes and additionally determine the fermionic completion. Second, using BRST cohomology manipulations in superspace, alternative representations of the component amplitudes are explored and the Bern-Carrasco-Johansson relations among partial tree amplitudes are derived in a novel way. Finally, it is shown how the supersymmetric components of manifestly local BCJ-satisfying tree-level numerators can be computed in a recursive fashion.
Text
1510.08846v2
- Accepted Manuscript
More information
Published date: 15 March 2016
Additional Information:
harvmac TeX, 24 pages, v2: published version with an additional typo fix in equation (4.21)
Keywords:
hep-th
Identifiers
Local EPrints ID: 435004
URI: http://eprints.soton.ac.uk/id/eprint/435004
ISSN: 1029-8479
PURE UUID: a10668e1-c3fb-4186-b67f-2df806bcb31f
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Date deposited: 17 Oct 2019 16:30
Last modified: 17 Mar 2024 03:33
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Author:
Oliver Schlotterer
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