All-order results for infrared and collinear singularities in massless gauge theories
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-N{sub c} 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 partonsmay 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.
- Research Organization:
- SLAC National Accelerator Lab., Menlo Park, CA (United States)
- Sponsoring Organization:
- USDOE
- DOE Contract Number:
- AC02-76SF00515
- OSTI ID:
- 979952
- Report Number(s):
- SLAC-PUB-13938; arXiv:1001.4709; TRN: US201011%%484
- Journal Information:
- PoS RADCOR2009:007,2010, Conference: Invited talk at 9th International Symposium on Radiative Corrections: Applications of Quantum Field Theory to Phenomenology (RADCOR 2009), Ascona, Switzerland, 25-30 Oct 2009
- Country of Publication:
- United States
- Language:
- English
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