Progress on soft gluon exponentiation and long-distance singularities

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Abstract / Description of output

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 languageEnglish
Article number043
JournalProceedings of Science
Volume RADCOR2013
Issue number2014
Publication statusPublished - 31 Dec 2013
Event11th International Symposium on Radiative Corrections (Applications of Quantum Field Theory to Phenomenology) - Durham, United Kingdom
Duration: 22 Sept 201327 Sept 2013

Keywords / Materials (for Non-textual outputs)

  • hep-ph
  • hep-th


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