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Dissolving N = 4 loop amplitudes into QCD tree amplitudes
Radu Roiban1, Marcus Spradlin, Anastasia Volovich
1Department of Physics, Princeton University, Princeton, New Jersey 08544, USA.
Abstract:
We use the infrared consistency of one-loop amplitudes in N = 4 Yang-Mills theory to derive a compact analytic formula for a tree-level next-to-next-to-maximal helicity-violating gluon scattering amplitude in QCD, the first such formula known. We argue that the infrared conditions, coupled with recent advances in calculating one-loop box coefficients, can give a new tool for computing tree-level amplitudes in general. Our calculation suggests that many amplitudes have a structure which is even simpler than that revealed so far by current twistor-space constructions.
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