DUALITY AND MULTI - GLUON SCATTERING MICHELANGELO MANGANO , STEPHEN PARKE and ZHAN XU
نویسندگان
چکیده
For the six gluon scattering process we give explicit and simple expressions for the amplitude and its square. To achieve this we use an analogy with string theories to identify a unique procedure for writing the multi-gluon scattering amplitudes in terms of a sum of gauge invariant dual sub-amplitudes multiplied by an appropriate color (Chan-Paton) factor. The sub-amplitudes defined in this way are invariant under cyclic permutations, satisfy powerful identities which relate different non-cyclic permutations and factorize in the soft gluon limit, the two gluon collinear limit and on multi-gluon poles. Also, to leading order in the number of colors these sub-amplitudes sum Incoherently in the square of the full matrix element. The results contained here are important for Monte-Carlo studies of multi-jet processes at hadron colliders as well as for understanding the general structure of QCD.
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