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The Two-loop Anomalous Dimension Matrix for Soft Gluon Exchange [electronic resource].

Published
Washington, D.C. : United States. Dept. of Energy, 2006.
Oak Ridge, Tenn. : Distributed by the Office of Scientific and Technical Information, U.S. Dept. of Energy.
Physical Description
5 pages : digital, PDF file
Additional Creators
Stanford Linear Accelerator Center, United States. Department of Energy, and United States. Department of Energy. Office of Scientific and Technical Information
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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-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.
Report Numbers
E 1.99:slac-pub-11907
slac-pub-11907
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Note
Published through SciTech Connect.
06/27/2006.
"slac-pub-11907"
"hep-ph/0606254"
Dixon, Lance J.; Aybat, S.Mert; Sterman, George.
Funding Information
AC02-76SF00515
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