The two-loop eight-point amplitude in ABJM theory
Abstract
In this paper, we present the two-loop correction to scattering amplitudes in three-dimensional Chern-Simons matter theory. We use eight-point case as our main example, but the method generalizes to all multiplicities. The integrand is completely fixed by dual conformal symmetry, maximal cuts, constraints from soft-collinear behavior and from vanishing of odd-multiplicity amplitudes. After performing integrations with Higgs regularizations, the integrated results demonstrate that the infrared divergence is again identical to that of super Yang-Mills. After subtracting divergences, the finite part is dual conformal invariant, and respects various symmetries; it has uniform transcendentality weight two and exhibits nice analytic structure.
Cite
@article{arxiv.2211.01792,
title = {The two-loop eight-point amplitude in ABJM theory},
author = {Song He and Yu-tin Huang and Chia-Kai Kuo and Zhenjie Li},
journal= {arXiv preprint arXiv:2211.01792},
year = {2023}
}
Comments
57 pages, version accepted in JHEP