Light-like Wilson loops in ABJM and maximal transcendentality

TL;DR

This paper demonstrates that the two-loop light-like tetragonal Wilson loop in ABJM theory exhibits maximal transcendentality and precisely matches the four-point scattering amplitude, correcting previous assumptions.

Contribution

It reveals that the Wilson loop result respects maximal transcendentality and aligns exactly with the scattering amplitude, challenging prior beliefs.

Findings

Wilson loop respects maximal transcendentality

Exact match with four-point scattering amplitude

Results include both divergent and finite parts

Abstract

We revisit the computation of the two-loop light-like tetragonal Wilson loop for three dimensional pure Chern-Simons and N=6 Chern-Simons-matter theory, within dimensional regularization with dimensional reduction scheme. Our examination shows that, contrary to prior belief, the result respects maximal transcendentality as is the case of the four-point scattering amplitude of the theory. Remarkably, the corrected result matches exactly the scattering amplitude both in the divergent and in the finite parts, constants included.