Webs in multiparton scattering using the replica trick

Einan Gardi, Eric Laenen, Gerben Stavenga, Chris white

Research output: Contribution to journalArticlepeer-review

Abstract / Description of output

Soft gluon exponentiation in non-abelian gauge theories can be described in terms of webs. So far this description has been restricted to amplitudes with two hard partons, where webs were defined as the colour-connected subset of diagrams. Here we generalise the concept of webs to the multi-leg case, where the hard interaction involves non-trivial colour flow. Using the replica trick from statistical physics we solve the combinatorial problem of non-abelian exponentiation to all orders. In particular, we derive an algorithm for computing the colour factor associated with any given diagram in the exponent. The emerging result is exponentiation of a sum of webs, where each web is a linear combination of a subset of diagrams that are mutually related by permuting the eikonal gluon attachments to each hard parton. These linear combinations are responsible for partial cancellation of subdivergences, conforming with the renormalization of a multi-leg eikonal vertex. We also discuss the generalisation of exponentiation properties to beyond the eikonal approximation.
Original languageEnglish
Article number155
Pages (from-to)1-82
Number of pages82
JournalJournal of High Energy Physics
Volume2010
Issue number11
DOIs
Publication statusPublished - 31 Jul 2010

Keywords / Materials (for Non-textual outputs)

  • hep-ph
  • hep-th
  • QCD
  • Renormalization Regularization and Renormalons

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