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   Multi-Regge kinematics and the moduli space of Riemann spheres with marked points  
   
نویسنده Duca Vittorio Del ,Druc Stefan ,Drummond James ,Duhr Claude ,Dulat Falko ,Marzucca Robin ,Papathanasiou Georgios ,Verbeek Bram
منبع journal of high energy physics - 2016 - دوره : 2016 - شماره : 8 - صفحه:1 -104
چکیده    We show that scattering amplitudes in planar $$ mathcal{n}=4 $$ 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.
کلیدواژه Supersymmetric gauge theory ,Gauge Symmetry ,Extended Supersymmetry
آدرس Institute for Theoretical Physics, Switzerland, University of Southampton, UK, University of Southampton, UK, Theoretical Physics Department, CERN, Switzerland. Université catholique de Louvain, Belgium, Stanford University, SLAC National Accelerator Laboratory, USA, Université catholique de Louvain, Belgium, Stanford University, SLAC National Accelerator Laboratory, USA, Université catholique de Louvain, Belgium
 
     
   
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