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The infrared structure of MHV gluon amplitudes in ${\cal N}=4$ super Yang-Mills theory is considered in the next-to-leading order of PT.
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S. Frolov and A.A. Tseytlin, Semiclassical quantization of rotating superstring in AdS(5) X X S(5) , JHEP 0206
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Z. Bern, M. Czakon, L.J. Dixon, D.A. Kosower and V.A. Smirnov, The Four-Loop Planar Amplitude and Cusp Anomalous Dimension in Maximally Supersymmetric Yang-Mills Theory , Phys. Rev. D 75
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