Multi-Regge kinematics and the moduli space of Riemann spheres with marked points
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Publication:1639108
DOI10.1007/JHEP08(2016)152zbMATH Open1390.81627arXiv1606.08807OpenAlexW2462428892WikidataQ60140123 ScholiaQ60140123MaRDI QIDQ1639108
Stefan Druc, Bram Verbeek, Robin Marzucca, Vittorio Del Duca, Claude Duhr, Falko Dulat, Georgios Papathanasiou, J. M. Drummond
Publication date: 12 June 2018
Published in: Journal of High Energy Physics (Search for Journal in Brave)
Abstract: We show that scattering amplitudes in planar N = 4 Super Yang-Mills in multi-Regge kinematics can naturally be expressed in terms of single-valued iterated integrals on the moduli space of Riemann spheres with marked points. As a consequence, scattering amplitudes in this limit can be expressed as convolutions that can easily be computed using Stokes' theorem. We apply this framework to MHV amplitudes to leading-logarithmic accuracy (LLA), and we prove that at L loops all MHV amplitudes are determined by amplitudes with up to L + 4 external legs. We also investigate non-MHV amplitudes, and we show that they can be obtained by convoluting the MHV results with a certain helicity flip kernel. We classify all leading singularities that appear at LLA in the Regge limit for arbitrary helicity configurations and any number of external legs. Finally, we use our new framework to obtain explicit analytic results at LLA for all MHV amplitudes up to five loops and all non-MHV amplitudes with up to eight external legs and four loops.
Full work available at URL: https://arxiv.org/abs/1606.08807
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