The Two-loop Anomalous Dimension Matrix for Soft Gluon Exchange

dc.creatorAybat, S. Mert
dc.creatorDixon, Lance J.
dc.creatorSterman, George
dc.date2006-06-23
dc.date.accessioned2026-07-07T13:00:24Z
dc.date.available2026-07-07T13:00:24Z
dc.descriptionThe resummation of soft gluon exchange for QCD hard scattering requires a matrix of anomalous dimensions. We compute this matrix directly for arbitrary 2 to n massless processes for the first time at two loops. Using color generator notation, we show that it is proportional to the one-loop matrix. This result reproduces all pole terms in dimensional regularization of the explicit calculations of massless 2 to 2 amplitudes in the literature, and it predicts all poles at next-to-next-to-leading order in any 2 to n process that has been computed at next-to-leading order. The proportionality of the one- and two-loop matrices makes possible the resummation in closed form of the next-to-next-to-leading logarithms and poles in dimensional regularization for the 2 to n processes.
dc.description5 pages, 1 figure, revtex
dc.identifierhttps://arxiv.org/abs/hep-ph/0606254
dc.identifierhttp://arxiv.org/abs/hep-ph/0606254
dc.identifierPhys.Rev.Lett.97:072001,2006
dc.identifierdoi:10.1103/PhysRevLett.97.072001
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/225828
dc.subjectHigh Energy Physics - Phenomenology
dc.titleThe Two-loop Anomalous Dimension Matrix for Soft Gluon Exchange
dc.typetext

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