Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2010-02-09
JHEP 1004:085,2010
Physics
High Energy Physics
High Energy Physics - Theory
64 pages, v2: typos and minor corrections in (6.14) and (6.17), to appear in JHEP
Scientific paper
10.1007/JHEP04(2010)085
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.
Beisert Niklas
Henn Johannes
McLoughlin Tristan
Plefka Jan
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