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arXiv · 1305.2421

Two-loop Sudakov Form Factor in ABJM

Andreas Brandhuber·Omer Gurdogan·Dimitrios Korres·Robert Mooney·Gabriele Travaglini
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Abstract

We compute the two-loop Sudakov form factor in three-dimensional 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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Andreas Brandhuber, Omer Gurdogan, Dimitrios Korres, Robert Mooney, Gabriele Travaglini. 2013-05-10. Two-loop Sudakov Form Factor in ABJM. https://doi.org/10.1007/jhep11(2013)022

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