Abstract
I review the recent progress in studying long-distance singularities in gauge-theory scattering amplitudes in terms of Wilson lines. The non-Abelian exponentiation theorem, which has been recently generalised to the case of multi-leg amplitudes, states that diagrams exponentiate such that the colour factors in the exponent are fully connected. After a brief review of the diagrammatic approach to soft gluon exponentiation, I sketch the method we used to prove the theorem and illustrate how connected colour factors emerge in the exponent in webs that are formed by sets of multiple-gluon-exchange diagrams. In the second part of the talk I report on recent progress in evaluating the corresponding integrals, where a major simplification is achieved upon formulating the calculation in terms of subtracted webs. I argue that the contributions of all multiple-gluon-exchange diagrams to the soft anomalous dimension take the form of products of specific polylogarithmic functions, each depending on a single cusp angle.
Original language | English |
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Article number | 043 |
Journal | Proceedings of Science |
Volume | RADCOR2013 |
Issue number | 2014 |
Publication status | Published - 31 Dec 2013 |
Event | 11th International Symposium on Radiative Corrections (Applications of Quantum Field Theory to Phenomenology) - Durham, United Kingdom Duration: 22 Sep 2013 → 27 Sep 2013 |
Keywords
- hep-ph
- hep-th