Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2010-01-26
Physics
High Energy Physics
High Energy Physics - Phenomenology
6 pages; to appear in the Proceedings of RADCOR 2009, 9th International Symposium on Radiative Corrections, October 2009, Asco
Scientific paper
We review recent results concerning the all-order structure of infrared and collinear divergences in massless gauge theory amplitudes. While the exponentiation of these divergences for nonabelian gauge theories has been understood for a long time, in the past couple of years we have begun to unravel the all-order structure of the anomalous dimensions that build up the perturbative exponent. In the large-Nc limit, all infrared and collinear divergences are determined by just three functions; one of them, the cusp anomalous dimension, plays a key role also for non-planar contributions. Indeed, all infrared and collinear divergences of massless gauge theory amplitudes with any number of hard partons may be captured by a surprisingly simple expression constructed as a sum over color dipoles. Potential corrections to this expression, correlating four or more hard partons at three loops or beyond, are tightly constrained and are currently under study.
Dixon Lance J.
Gardi Einan
Magnea Lorenzo
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