Multi-Regge kinematics and the moduli space of Riemann spheres with marked points
| Autor: | Bram Verbeek, James M. Drummond, Claude Duhr, Stefan Druc, Falko Dulat, Robin Marzucca, Vittorio Del Duca, Georgios Papathanasiou |
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| Přispěvatelé: | UCL - SST/IRMP - Institut de recherche en mathématique et physique |
| Jazyk: | angličtina |
| Rok vydání: | 2016 |
| Předmět: |
High Energy Physics - Theory
Nuclear and High Energy Physics FOS: Physical sciences 01 natural sciences Supersymmetric gauge theory symbols.namesake 0103 physical sciences MHV amplitudes Limit (mathematics) 010306 general physics Mathematical physics Physics Gauge Symmetry Extended Supersymmetry Kernel (set theory) 010308 nuclear & particles physics hep-th Helicity Moduli space Scattering amplitude Riemann hypothesis High Energy Physics - Theory (hep-th) symbols Gravitational singularity Particle Physics - Theory |
| Zdroj: | Journal of High Energy Physics, Vol. 1608, p. 152 (2016) Journal of High Energy Physics, 2016 (8) Journal of High Energy Physics Duca, V D, Druc, S, Drummond, J, Duhr, C, Dulat, F, Marzucca, R, Papathanasiou, G & Verbeek, B 2016 ' Multi-Regge kinematics and the moduli space of Riemann spheres with marked points ' . https://doi.org/10.1007/JHEP08(2016)152 |
| ISSN: | 1126-6708 1029-8479 |
| DOI: | 10.1007/JHEP08(2016)152 |
| Popis: | 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. Journal of High Energy Physics, 2016 (8) ISSN:1126-6708 ISSN:1029-8479 |
| Databáze: | OpenAIRE |
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