The non-Abelian exponentiation theorem for multiple Wilson lines

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)

Full text not currently available from Enlighten.

Publisher's URL:


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
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

University Staff: Request a correction | Enlighten Editors: Update this record

Project CodeAward NoProject NamePrincipal InvestigatorFunder's NameFunder RefLead Dept
573721Phenomenology from Lattice QCD and Collider PhysicsChristine DaviesScience & Technologies Facilities Council (STFC)ST/J000442/1P&A - PHYSICS & ASTRONOMY