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

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...

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Bibliographic Details
Published in:arXiv.org 2006-07
Main Authors: S Mert Aybat, Dixon, Lance J, Sterman, George
Format: Article
Language:English
Subjects:
Color
Elastic scattering
Online Access:Get full text
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Summary: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.
ISSN:2331-8422
DOI:10.48550/arxiv.0607309