Dissolving N = 4 loop amplitudes into QCD tree amplitudes.
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.
Roiban
Radu
R
Department of Physics, Princeton University, Princeton, New Jersey 08544, USA.
Spradlin
Marcus
M
Volovich
Anastasia
A