Two-loop anomalous-dimension matrix for soft-gluon exchange

The resummation of soft-gluon exchange for QCD hard scattering requires a matrix of anomalous dimensions. We compute this matrix directly for arbitrary 2-->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....

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Bibliographic Details
Published in:Physical review letters 2006-08, Vol.97 (7), p.072001-072001, Article 072001
Main Authors: Aybat, S Mert, Dixon, Lance J, Sterman, George
Format: Article
Language:English
Subjects:
AMPLITUDES
ANOMALOUS DIMENSION
COLOR MODEL
GLUONS
MATRICES
PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
QUANTUM CHROMODYNAMICS
SCATTERING
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Summary:The resummation of soft-gluon exchange for QCD hard scattering requires a matrix of anomalous dimensions. We compute this matrix directly for arbitrary 2-->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-->2 amplitudes in the literature, and it predicts all poles at next-to-next-to-leading order in any 2-->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-->n processes.
ISSN:0031-9007
1079-7114
DOI:10.1103/PhysRevLett.97.072001