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\( \mathcal{N} \) =8 SYM vs. \( \mathcal{N} \) =6 Chern-Simons: four-point amplitudes at two-loops

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Abstract

We compute the four-point amplitude in 3d \( \mathcal{N} \) = 8 SYM at two loops, by solving the three dimensional scalar doublebox in dimensional regularization. We compare it to the same result in the ABJM theory, to which maximal SYM should flow in the infrared at strong coupling. After proper rescalings, we find that the two amplitudes coincide in the Regge limit.

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Authors and Affiliations

  1. Departamento de Física, Universidad de Oviedo, 33007, Oviedo, Spain

    Marco S. Bianchi

  2. Physics Department, FCEyN-UBA & IFIBA-CONICET, Ciudad Universitaria, Pabellón I, 1428, Buenos Aires, Argentina

    Matias Leoni

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  1. Marco S. Bianchi
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  2. Matias Leoni
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Correspondence to Marco S. Bianchi.

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ArXiv ePrint: 1210.4925

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Bianchi, M.S., Leoni, M. \( \mathcal{N} \) =8 SYM vs. \( \mathcal{N} \) =6 Chern-Simons: four-point amplitudes at two-loops. J. High Energ. Phys. 2013, 101 (2013). https://doi.org/10.1007/JHEP03(2013)101

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  • DOI: https://doi.org/10.1007/JHEP03(2013)101

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