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Factorization of tree QCD amplitudes in the high-energy limit and in the collinear limit

Vittorio Del Duca·Alberto Frizzo·Fabio Maltoni
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Abstract

In the high-energy limit, we compute the gauge-invariant three-parton forward clusters, which in the BFKL theory constitute the tree parts of the NNLO impact factors. In the triple collinear limit, we obtain the polarized double-splitting functions. For the unpolarized and the spin-correlated double-splitting functions, our results agree with the ones obtained by Campbell-Glover and Catani-Grazzini, respectively. In addition, we compute the four-gluon forward cluster, which in the BFKL theory forms the tree part of the NNNLO gluonic impact factor. In the quadruple collinear limit we obtain the unpolarized triple-splitting functions, while in the limit of a three-parton central cluster we derive the Lipatov vertex for the production of three gluons, relevant for the calculation of a BFKL ladder at NNLL accuracy. Finally, motivated by the reorganization of the color in the high-energy limit, we introduce a color decomposition of the purely gluonic tree amplitudes in terms of the linearly independent subamplitudes only.

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Vittorio Del Duca, Alberto Frizzo, Fabio Maltoni. 1999-10-12. Factorization of tree QCD amplitudes in the high-energy limit and in the collinear limit. https://doi.org/10.1016/s0550-3213(99)00657-4

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