We study the three-loop four-point amplitude in ABJM theory. We determine the dual conformal invariant integrals with highest number of propagators and fix their coefficients by two-particle cuts. Evaluating such a combination of integrals in dimensional regularization we provide evidence for exponentiation of the amplitude, including the finite terms. In addition we show that the three-loop amplitude can be expressed in terms of classical polylogarithms of uniform degree of transcendentality.
@article{arxiv.1403.3398,
title = {On the ABJM four-point amplitude at three loops and BDS exponentiation},
author = {Marco S. Bianchi and Matias Leoni},
journal= {arXiv preprint arXiv:1403.3398},
year = {2015}
}