Gardi, E., Smillie, J. M. and White, C. D. (2013) The non-Abelian exponentiation theorem for multiple Wilson lines. Journal of High Energy Physics, 2013(6), p. 88. (doi: 10.1007/JHEP06(2013)088)
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Publisher's URL: http://dx.doi.org/10.1007/JHEP06(2013)088
Abstract
We study the structure of soft gluon corrections to multi-leg scattering amplitudes in a non-Abelian gauge theory by analysing the corresponding product of semi-infinite Wilson lines. We prove that diagrams exponentiate such that the colour factors in the exponent are fully connected. This completes the generalisation of the non-Abelian exponentiation theorem, previously proven in the case of a Wilson loop, to the case of multiple Wilson lines in arbitrary representations of the colour group. Our proof is based on the replica trick in conjunction with a new formalism where multiple emissions from a Wilson line are described by effective vertices, each having a connected colour factor. The exponent consists of connected graphs made out of these vertices. We show that this readily provides a general colour basis for webs. We further discuss the kinematic combinations that accompany each connected colour factor, and explicitly catalogue all three-loop examples, as necessary for a direct computation of the soft anomalous dimension at this order.
| Item Type: | Articles |
|---|---|
| Status: | Published |
| Refereed: | Yes |
| Glasgow Author(s) Enlighten ID: | White, Dr Christopher |
| Authors: | Gardi, E., Smillie, J. M., and White, C. D. |
| College/School: | College of Science and Engineering > School of Physics and Astronomy |
| Journal Name: | Journal of High Energy Physics |
| Publisher: | Springer |
| ISSN: | 1029-8479 |
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