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Two-loop Sudakov form factor in ABJM

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Abstract

We compute the two-loop Sudakov form factor in three-dimensional \( \mathcal{N}=6 \) superconformal Chern-Simons theory, using generalised unitarity. As an intermediate step, we derive the non-planar part of the one-loop four-point amplitude in terms of box integrals. Our result for the Sudakov form factor is given by a single non-planar tensor integral with uniform degree of transcendentality, and is in agreement with the known infrared divergences of two-loop amplitudes in ABJM theory. We also discuss a number of interesting properties satisfied by related three-dimensional integral functions.

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Authors and Affiliations

  1. Centre for Research in String Theory, School of Physics and Astronomy, Queen Mary University of London, Mile End Road, London, E1 4NS, U.K.

    A. Brandhuber, Ö. Gürdoğan, D. Korres, R. Mooney & G. Travaglini

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  1. A. Brandhuber
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  2. Ö. Gürdoğan
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  3. D. Korres
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Correspondence to Ö. Gürdoğan.

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ArXiv ePrint: 1305.2421

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Brandhuber, A., Gürdoğan, Ö., Korres, D. et al. Two-loop Sudakov form factor in ABJM. J. High Energ. Phys. 2013, 22 (2013). https://doi.org/10.1007/JHEP11(2013)022

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