The Two-loop Soft Anomalous Dimension Matrix and Resummation at Next-to-next-to Leading Pole

Details The Two-loop Soft Anomalous Dimension Matrix and Resummation at Next-to-next-to Leading Pole The Two-loop Soft Anomalous Dimension Matrix and Resummation at Next-to-next-to Leading Pole

2006-07-27

arxiv.org/abs/hep-ph/0607309v1

Phys.Rev.D74:074004,2006

Physics

High Energy Physics

High Energy Physics - Phenomenology

52 pages, revtex, 4 eps figures

Scientific paper

10.1103/PhysRevD.74.074004

We extend the resummation of dimensionally-regulated amplitudes to next-to-next-to-leading poles. This requires the calculation of two-loop anomalous dimension matrices for color mixing through soft gluon exchange. Remarkably, we find that they are proportional to the corresponding one-loop matrices. Using the color generator notation, we reproduce the two-loop single-pole quantities H^(2) introduced by Catani for quark and gluon elastic scattering. Our results also make possible threshold and a variety of other resummations at next-to-next-to leading logarithm. All of these considerations apply to 2 to n processes with massless external lines.

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