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

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dc.creatorDel Duca, Vittorio
dc.creatorFrizzo, Alberto
dc.creatorMaltoni, Fabio
dc.date1999-09-21
dc.date1999-10-12
dc.date.accessioned2026-07-07T10:53:12Z
dc.date.available2026-07-07T10:53:12Z
dc.descriptionIn 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.
dc.descriptionLaTeX, 52 pages, 8 figures. Typos in eq.(2.3) and (2.7) corrected. One citation added in ref.[13]
dc.identifierhttps://arxiv.org/abs/hep-ph/9909464
dc.identifierhttp://arxiv.org/abs/hep-ph/9909464
dc.identifierNucl.Phys.B568:211-262,2000
dc.identifierdoi:10.1016/S0550-3213(99)00657-4
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/185404
dc.subjectHigh Energy Physics - Phenomenology
dc.titleFactorization of tree QCD amplitudes in the high-energy limit and in the collinear limit
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