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

Stanford University, Palo Alto, California, United States
Physical Review Letters (Impact Factor: 7.73). 08/2006; 97(7):072001. DOI: 10.1103/PhysRevLett.97.072001
Source: PubMed

ABSTRACT 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.

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