The Two-loop Soft Anomalous Dimension Matrix and Resummation at Next-to-next-to Leading Pole
نویسندگان
چکیده
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 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 → n processes with massless external lines. 1 Work supported in part by DOE Contract No. DE-AC02-76SF00515
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