The Massive Soft Anomalous Dimension Matrix at Two Loops

Details The Massive Soft Anomalous Dimension Matrix at Two Loops The Massive Soft Anomalous Dimension Matrix at Two Loops

2009-03-19

arxiv.org/abs/0903.3241v2

Phys.Rev.D79:094015,2009

Physics

High Energy Physics

High Energy Physics - Phenomenology

7 pages, 3 figures, revtex

Scientific paper

10.1103/PhysRevD.79.094015

We study two-loop anomalous dimension matrices in QCD and related gauge theories for products of Wilson lines coupled at a point. We verify by an analysis in Euclidean space that the contributions to these matrices from diagrams that link three massive Wilson lines do not vanish in general. We show, however, that for two-to-two processes the two-loop anomalous dimension matrix is diagonal in the same color-exchange basis as the one-loop matrix for arbitrary masses at absolute threshold and for scattering at ninety degrees in the center of mass. This result is important for applications of threshold resummation in heavy quark production.

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