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arXiv · 1711.04850

Infrared singularities of QCD scattering amplitudes in the Regge limit to all orders

Simon Caron-Huot·Einan Gardi·Joscha Reichel·Leonardo Vernazza
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Abstract

Scattering amplitudes of partons in QCD contain infrared divergences which can be resummed to all orders in terms of an anomalous dimension. Independently, in the limit of high-energy forward scattering, large logarithms of the energy can be resummed using Balitsky-Fadin-Kuraev-Lipatov theory. We use the latter to analyze the infrared-singular part of amplitudes to all orders in perturbation theory and to next-to-leading-logarithm accuracy in the high-energy limit, resumming the two-Reggeon contribution. Remarkably, we find a closed form for the infrared-singular part, predicting the Regge limit of the soft anomalous dimension to any loop order.

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Simon Caron-Huot, Einan Gardi, Joscha Reichel, Leonardo Vernazza. 2017-11-13. Infrared singularities of QCD scattering amplitudes in the Regge limit to all orders. https://doi.org/10.1007/jhep03(2018)098

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