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arXiv · 1403.3398

On the ABJM four-point amplitude at three loops and BDS exponentiation

Marco S. Bianchi·Matias Leoni
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Abstract

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.

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Marco S. Bianchi, Matias Leoni. 2014-03-13. On the ABJM four-point amplitude at three loops and BDS exponentiation. https://doi.org/10.1007/jhep11(2014)077

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