Year: 2023
Type: article
Abstract: In this paper, we present the two-loop correction to scattering amplitudes in three-dimensional $$ \mathcal{N} $$ N = 6 Chern-Simons matter theory. We use the 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 the 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 $$ \mathcal{N} $$ 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 a nice analytic structure.
Source: Journal of High Energy Physics
Authors: Song He, Yu-tin Huang, Chia-Kai Kuo, Zhenjie Li
Institutions: Chinese Academy of Sciences, International Centre for Theoretical Physics Asia-Pacific, Peng Huanwu Center for Fundamental Theory, Institute of Theoretical Physics, National Taiwan University, National Center for Theoretical Sciences, National Center for Theoretical Sciences, Physics Division
Language: English
Subfield: Nuclear and High Energy Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: diamond
OpenAlex ID: W4319601917