Global Poles of the Two-Loop Six-Point N=4 SYM integrand

Abstract

Recently, a recursion relation has been developed, generating the four-dimensional integrand of the amplitudes of N=4 supersymmetric Yang-Mills theory for any number of loops and legs. In this paper, I provide a comparison of the prediction for the two-loop six-point maximally helicity-violating (MHV) integrand against the result obtained by use of the leading singularity method. The comparison is performed numerically for a large number of randomly selected momenta and in all cases finds agreement between the two results to high numerical accuracy.

32+34 pages, 16 figures, 1 notebook; minor typos corrected, ref. added; version accepted by Phys. Rev. D

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• A Two-Loop Five-Gluon Helicity Amplitude in QCD
• Integrand-Level Reduction of Loop Amplitudes by Computational Algebraic Geometry Methods
• Integrand Reduction for Two-Loop Scattering Amplitudes through Multivariate Polynomial Division
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• Multivariate Residues and Maximal Unitarity
• Integration-by-parts identities from the viewpoint of differential geometry
• Integral Reduction by Unitarity Method for Two-loop Amplitudes: A Case Study
• Automated computation of scattering amplitudes