English

The two-loop eight-point amplitude in ABJM theory

High Energy Physics - Theory 2023-02-09 v2

Abstract

In this paper, we present the two-loop correction to scattering amplitudes in three-dimensional N=6\mathcal{N}=6 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 N=4{\cal N}=4 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.

Keywords

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

R2 v1 2026-06-28T05:05:58.232Z