Simple loop integrals and amplitudes in N=4 SYM

Abstract

We use momentum twistors to evaluate planar loop integrals. Infrared divergences are regulated by the recently proposed AdS-inspired mass regulator. We show that two-loop amplitudes in N=4 super Yang-Mills can be expanded in terms of basis integrals having twistor numerators. We argue that these integrals are considerably simpler compared to the ones conventionally used. Our case in point is the two-loop six-point MHV amplitude. We present analytical results for the remainder function in a kinematical limit, and find agreement with a recent Wilson loop computation. We also provide two-loop evidence that the logarithm of MHV amplitudes can be written in terms of simple twistor space integrals.

27 pages, 5 figures

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• New differential equations for on-shell loop integrals
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• Three-Loop Leading Singularities and BDS Ansatz for Five Particles
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Cited by in corpus (7)

• The Complete Planar S-matrix of N=4 SYM as a Wilson Loop in Twistor Space
• Notes on the scattering amplitude / Wilson loop duality
• New differential equations for on-shell loop integrals
• Dual Conformal Properties of Six-Dimensional Maximal Super Yang-Mills Amplitudes
• MHV Diagrams in Momentum Twistor Space
• Non-Chiral S-Matrix of N=4 Super Yang-Mills
• Some analytic results for two-loop scattering amplitudes