Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2006-06-23
Phys.Rev.Lett.97:072001,2006
Physics
High Energy Physics
High Energy Physics - Phenomenology
5 pages, 1 figure, revtex
Scientific paper
10.1103/PhysRevLett.97.072001
The 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.
Aybat Mert S.
Dixon Lance J.
Sterman George
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