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The two-loop six-point amplitude in ABJM theory

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Abstract

In this paper we present the first analytic computation of the six-point two-loop amplitude of ABJM theory. We show that the two-loop amplitude consists of corrections proportional to two distinct local Yangian invariants which can be identified as the tree- and the one-loop amplitude respectively. The two-loop correction proportional to the tree-amplitude is identical to the one-loop BDS result of \( \mathcal{N}=4 \) SYM plus an additional remainder function, while the correction proportional to the one-loop amplitude is finite. Both the remainder and the finite correction are dual conformal invariant, which implies that the two-loop dual conformal anomaly equation for ABJM is again identical to that of one-loop \( \mathcal{N}=4 \) super Yang-Mills, as was first observed at four-point. We discuss the theory on the Higgs branch, showing that its amplitudes are infrared finite, but equal, in the small mass limit, to those obtained in dimensional regularization.

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Authors and Affiliations

  1. School of Natural Sciences, Institute for Advanced Study, Princeton, NJ, 08540, U.S.A.

    S. Caron-Huot & Yu-tin Huang

  2. Department of Physics and Astronomy, UCLA, Los Angeles, CA, 90095-1547, U.S.A.

    Yu-tin Huang

  3. Niels Bohr International Academy and Discovery Center, The Niels Bohr Institute, Blegdamsvej 17, DK-2100, Copenhagen, Denmark

    S. Caron-Huot

  4. Michigan Center for Theoretical Physics, Randall Laboratory of Physics, University of Michigan, Ann Arbor, MI, 48109, U.S.A.

    Yu-tin Huang

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Caron-Huot, S., Huang, Yt. The two-loop six-point amplitude in ABJM theory. J. High Energ. Phys. 2013, 75 (2013). https://doi.org/10.1007/JHEP03(2013)075

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