Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
1999-09-21
Nucl.Phys.B568:211-262,2000
Physics
High Energy Physics
High Energy Physics - Phenomenology
LaTeX, 52 pages, 8 figures. Typos in eq.(2.3) and (2.7) corrected. One citation added in ref.[13]
Scientific paper
10.1016/S0550-3213(99)00657-4
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.
Duca Vittorio Del
Frizzo Alberto
Maltoni Fabio
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