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

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.

31 pages, 4 figures

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Cited by in corpus (7)

• Unitarity, Crossing Symmetry and Duality of the S-matrix in large N Chern-Simons theories with fundamental matter
• All-Loop Four-Point Aharony-Bergman-Jafferis-Maldacena Amplitudes from Dimensional Reduction of the Amplituhedron
• Integrated negative geometries in ABJM
• Emergent unitarity, all-loop cuts and integrations from the ABJM amplituhedron
• Four-point amplitudes in $\mathcal{N}=2$ SCQCD
• 6d Dual Conformal Symmetry and Minimal Volumes in AdS
• The canonical form has got baubles