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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.
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2008
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J. M. Drummond, J. M. Henn, and J. Plefka, Yangian symmetry of scattering amplitudes in N=4 super Yang-Mills theory
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J. M. Drummond, J. Henn, G. P. Korchemsky, and E. Sokatchev, Hexagon Wilson loop = six-gluon MHV amplitude
2009
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F. C. Brown, Multiple zeta values and periods of moduli spaces ℳ 0 , n ( ℝ ) \mathcal{M}_{0,n}(\mathbb{R})
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2009
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2009
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J. M. Drummond, J. Henn, G. P. Korchemsky, and E. Sokatchev, Conformal Ward identities for Wilson loops and a test of the duality with gluon amplitudes
2010
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S. Caron-Huot and S. He, Three-loop octagons and n n -gons in maximally supersymmetric Yang-Mills theory
2013
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J. Bartels, J. Kotanski, V. Schomerus, and M. Sprenger, The Excited Hexagon Reloaded
2013
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L. Lipatov, A. Prygarin, and H. J. Schnitzer, The Multi-Regge limit of NMHV Amplitudes in N=4 SYM Theory
2013
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J. Pennington, The six-point remainder function to all loop orders in the multi-Regge limit
2013
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D. Nandan, M. F. Paulos, M. Spradlin, and A. Volovich, Star Integrals, Convolutions and Simplices
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L. J. Mason and D. Skinner, The Complete Planar S-matrix of N=4 SYM as a Wilson Loop in Twistor Space
2010
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V. Del Duca, C. Duhr, and V. A. Smirnov, An Analytic Result for the Two-Loop Hexagon Wilson Loop in N = 4 SYM
2010
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V. Del Duca, C. Duhr, and V. A. Smirnov, The Two-Loop Hexagon Wilson Loop in N = 4 SYM
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A. B. Goncharov, M. Spradlin, C. Vergu, and A. Volovich, Classical polylogarithms for amplitudes and Wilson loops
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V. Del Duca, C. Duhr, and V. A. Smirnov, A Two-Loop Octagon Wilson Loop in N = 4 SYM
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P. Heslop and V. V. Khoze, Analytic Results for MHV Wilson Loops
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J. Bartels, L. N. Lipatov, and A. Sabio Vera, N=4 supersymmetric Yang Mills scattering amplitudes at high energies: The Regge cut contribution
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G. Papathanasiou, Hexagon Wilson Loop OPE and Harmonic Polylogarithms
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J. Golden, A. B. Goncharov, M. Spradlin, C. Vergu, and A. Volovich, Motivic Amplitudes and Cluster Coordinates
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J. Golden, M. F. Paulos, M. Spradlin, and A. Volovich, Cluster Polylogarithms for Scattering Amplitudes
2014
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L. J. Dixon and M. von Hippel, Bootstrapping an NMHV amplitude through three loops
2014
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L. J. Dixon, J. M. Drummond, C. Duhr, and J. Pennington, The four-loop remainder function and multi-Regge behavior at NNLLA in planar N = 4 super-Yang-Mills theory
2014
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J. Bartels, V. Schomerus, and M. Sprenger, Heptagon Amplitude in the Multi-Regge Regime
2014
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V. Del Duca, L. J. Dixon, C. Duhr, and J. Pennington, The BFKL equation, Mueller-Navelet jets and single-valued harmonic polylogarithms
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O. Schnetz, Graphical functions and single-valued multiple polylogarithms
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B. Basso, J. Caetano, L. Cordova, A. Sever, and P. Vieira, OPE for all Helicity Amplitudes
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B. Basso, J. Caetano, L. Cordova, A. Sever, and P. Vieira, OPE for all Helicity Amplitudes II. Form Factors and Data analysis
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B. Basso, A. Sever, and P. Vieira, Hexagonal Wilson Loops in Planar 𝒩 = 4 \mathcal{N}=4 SYM Theory at Finite Coupling
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J. M. Drummond, G. Papathanasiou, and M. Spradlin, A Symbol of Uniqueness: The Cluster Bootstrap for the 3-Loop MHV Heptagon
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B. Basso, S. Caron-Huot, and A. Sever, Adjoint BFKL at finite coupling: a short-cut from the collinear limit
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J. Bartels, V. Schomerus, and M. Sprenger, The Bethe roots of Regge cuts in strongly coupled 𝒩 = 4 \mathcal{N}=4 SYM theory
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J. Bartels, A. Kormilitzin, and L. N. Lipatov, Analytic structure of the n = 7 n=7 scattering amplitude in 𝒩 = 4 \mathcal{N}=4 theory in multi-Regge kinematics: Conformal Regge cut contribution
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F. C. S. Brown, Notes on motivic periods
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