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Bootstrapping the QCD soft anomalous dimension

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arxiv 1706.10162 v1 pith:BFOKC6VX submitted 2017-06-30 hep-ph hep-th

{O}yvind Almelid , Claude Duhr , Einan Gardi , Andrew McLeod , Chris D. White This is my paper
classification hep-phhep-th
keywords resultamplitudesanomalousdimensionscatteringsoftansatzapplications
verification ladder T0 review T1 audit T2 compute T3 formal
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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.

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