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  One-Loop Superconformal and Yangian Symmetries of Scattering Amplitudes in N=4 Super Yang-Mills

Beisert, N., Henn, J., McLoughlin, T., & Plefka, J. (2010). One-Loop Superconformal and Yangian Symmetries of Scattering Amplitudes in N=4 Super Yang-Mills. Journal of High Energy Physics, 2010(4): 085. doi:10.1007/JHEP04(2010)085.

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Item Permalink: http://hdl.handle.net/11858/00-001M-0000-0012-6580-5 Version Permalink: http://hdl.handle.net/11858/00-001M-0000-0012-6587-8
Genre: Journal Article

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1002.1733 (Preprint), 798KB
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 Creators:
Beisert, Niklas1, Author              
Henn, Johannes, Author
McLoughlin, Tristan1, Author              
Plefka, Jan2, Author
Affiliations:
1Duality & Integrable Structures, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, Golm, DE, escidoc:24016              
2Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, Golm, DE, escidoc:24014              

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Free keywords: High Energy Physics - Theory, hep-th
 Abstract: Recently it has been argued that tree-level scattering amplitudes in N=4 Yang-Mills theory are uniquely determined by a careful study of their superconformal and Yangian symmetries. However, at one-loop order these symmetries are known to become anomalous due to infrared divergences. We compute these one-loop anomalies for amplitudes defined through dimensional regularisation by studying the tree-level symmetry transformations of the unitarity branch cuts, keeping track of the crucial collinear terms arising from the holomorphic anomaly. We extract the superconformal anomalies and show that they may be cancelled through a universal one-loop deformation of the tree-level symmetry generators which involves only tree-level data. Specialising to the planar theory we also obtain the analogous deformation for the level-one Yangian generator of momentum. Explicit checks of our one-loop deformation are performed for MHV and the 6-point NMHV amplitudes.

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 Dates: 2010-02-092010
 Publication Status: Published in print
 Pages: 64 pages
 Publishing info: -
 Table of Contents: -
 Rev. Method: -
 Identifiers: arXiv: 1002.1733
DOI: 10.1007/JHEP04(2010)085
 Degree: -

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Title: Journal of High Energy Physics
Source Genre: Journal
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Publ. Info: Bologna, Italy : Società italiana di fisica
Pages: - Volume / Issue: 2010 (4) Sequence Number: 085 Start / End Page: - Identifier: Other: 111021927548002
Other: 1126-6708