Matter Dependence of the Three-Loop Soft Anomalous Dimension Matrix
High Energy Physics - Phenomenology
2009-10-29 v2 High Energy Physics - Theory
Abstract
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.
Cite
@article{arxiv.0901.3414,
title = {Matter Dependence of the Three-Loop Soft Anomalous Dimension Matrix},
author = {Lance J. Dixon},
journal= {arXiv preprint arXiv:0901.3414},
year = {2009}
}
Comments
5 pages, 2 figures; v2 minor clarifications, references added