Bootstrapping the QCD soft anomalous dimension

Øyvind Almelid, Claude Duhr, Einan Gardi, Andrew McLeod, Chris D. White

Research output: Contribution to journalArticlepeer-review

Abstract / Description of output

The soft anomalous dimension governs the infrared singularities of scattering amplitudes to all orders in perturbative quantum field theory, and is a crucial ingredient in both formal and phenomenological applications of non-abelian gauge theories. It has recently been computed at three-loop order for massless partons by explicit evaluation of all relevant Feynman diagrams. In this paper, we show how the same result can be obtained, up to an overall numerical factor, using a bootstrap procedure. We first give a geometrical argument for the fact that the result can be expressed in terms of single-valued harmonic polylogarithms. We then use symmetry considerations as well as known properties of scattering amplitudes in collinear and high-energy (Regge) limits to constrain an ansatz of basis functions. This is a highly non-trivial cross-check of the result, and our methods pave the way for greatly simplified higher-order calculations.
Original languageEnglish
Article number73
Number of pages41
Journal Journal of High Energy Physics
Volume1709
Issue number73
DOIs
Publication statusPublished - 18 Sept 2017

Keywords / Materials (for Non-textual outputs)

  • hep-ph
  • hep-th

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