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Title: Multi-Regge kinematics and the moduli space of Riemann spheres with marked points

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. In conclusion, 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.
 [1] ;  [2] ;  [2] ;  [3] ;  [4] ;  [5] ;  [4] ;  [5]
  1. ETH Zurich, Zurich (Switzerland); Istituto Nazionale di Fisica Nucleare (Italy)
  2. Univ. of Southampton, Southampton (United Kingdom)
  3. European Organization for Nuclear Research (CERN), Geneva (Switzerland); Univ. catholique de Louvain, Louvain-La-Neuve (Belgium); Fonds National de la Recherche Scientifique (FNRS) (Belgium)
  4. SLAC National Accelerator Lab., Menlo Park, CA (United States)
  5. Univ. catholique de Louvain, Louvain-La-Neuve (Belgium)
Publication Date:
OSTI Identifier:
Grant/Contract Number:
Accepted Manuscript
Journal Name:
Journal of High Energy Physics (Online)
Additional Journal Information:
Journal Name: Journal of High Energy Physics (Online); Journal Volume: 2016; Journal Issue: 8; Journal ID: ISSN 1029-8479
Springer Berlin
Research Org:
SLAC National Accelerator Laboratory (SLAC), Menlo Park, CA (United States)
Sponsoring Org:
USDOE Office of Science (SC)
Country of Publication:
United States
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS supersymmetric gauge theory; Gauge symmetry; extended supersymmetry