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• W3122553014 abstract "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." @default.
• W3122553014 created "2021-02-01" @default.
• W3122553014 creator A5012302947 @default.
• W3122553014 creator A5035275811 @default.
• W3122553014 creator A5048139332 @default.
• W3122553014 creator A5058702281 @default.
• W3122553014 creator A5069074665 @default.
• W3122553014 date "2017-09-01" @default.
• W3122553014 modified "2023-10-09" @default.
• W3122553014 title "Bootstrapping the QCD soft anomalous dimension" @default.
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