High-energy evolution to three loops

DOI10.1007/JHEP02(2018)058zbMATH Open1387.81262arXiv1604.07417OpenAlexW2963221336WikidataQ109744136 ScholiaQ109744136MaRDI QIDQ1748751

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Publication date: 14 May 2018

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Abstract: The Balitsky-Kovchegov equation describes the high-energy growth of gauge theory scattering amplitudes as well as nonlinear saturation effects which stop it. We obtain the three-loop corrections to this equation in planar $mathcalN=4$ super Yang-Mills theory. Our method exploits a recently established equivalence with the physics of soft wide-angle radiation, so-called non-global logarithms, and thus yields at the same time the three-loop evolution equation for non-global logarithms. As a by-product of our analysis, we develop a Lorentz-covariant method to subtract infrared and collinear divergences in cross-section calculations in the planar limit. We compare our result in the linear regime with a recent prediction for the so-called Pomeron trajectory, and compare its collinear limit with predictions from the spectrum of twist-two operators.

Full work available at URL: https://arxiv.org/abs/1604.07417

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