Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2009-05-27
JHEP 0908:095,2009
Physics
High Energy Physics
High Energy Physics - Theory
30 pages, 3 figures
Scientific paper
10.1088/1126-6708/2009/08/095
We discuss what predictions can be made for one-loop superamplitudes in maximally supersymmetric Yang-Mills theory by using anomalous dual conformal symmetry. We show that the anomaly coefficient is a specific combination of two-mass hard and one-mass supercoefficients which appears in the supersymmetric on-shell recursion relations and equals the corresponding tree-level superamplitude. We discuss further novel relations among supercoefficients imposed by the remaining non-anomalous part of the symmetry. In particular, we find that all one-loop supercoefficients, except the four-mass box coefficients, can be expressed as linear combinations of three-mass box coefficients and a particular symmetric combination of two-mass hard coefficients. We check that our equations are explicitly satisfied in the case of one-loop n-point MHV and NMHV amplitudes. As a bonus, we prove the covariance of the NMHV superamplitudes at an arbitrary number of points, extending previous results at n <= 9.
Brandhuber Andreas
Heslop Paul
Travaglini Gabriele
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