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Phys. Rev. D 79, 091501(R) (2009) [5 pages]

Matter dependence of the three-loop soft-anomalous-dimension matrix

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Lance J. Dixon
SLAC National Accelerator Laboratory, Stanford University, Stanford, California 94309, USA

Received 27 January 2009; published 8 May 2009

The resummation of soft gluon exchange for QCD hard scattering requires a matrix of anomalous dimensions, which has been computed through two loops. The two-loop matrix is proportional to the one-loop matrix. Recently there have been proposals that this proportionality extends to higher loops. One can test such proposals by computing the dependence of this matrix on the matter content in a generic gauge theory. It is shown that for the matter-dependent part the proportionality extends to three loops for arbitrary massless processes.

© 2009 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevD.79.091501
DOI:
10.1103/PhysRevD.79.091501
PACS:
12.38.Bx, 11.15.Bt, 11.80.Et