Simple loop integrals and amplitudes in N=4 SYM

Details Simple loop integrals and amplitudes in N=4 SYM Simple loop integrals and amplitudes in N=4 SYM

2010-08-17

arxiv.org/abs/1008.2965v1

JHEP 1105:105,2011

Physics

High Energy Physics

High Energy Physics - Theory

27 pages, 5 figures

Scientific paper

10.1007/JHEP05(2011)105

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.

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