The two-loop eight-point amplitude in ABJM theory

被引:0
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作者
Song He
Yu-tin Huang
Chia-Kai Kuo
Zhenjie Li
机构
[1] Chinese Academy of Sciences,CAS Key Laboratory of Theoretical Physics, Institute of Theoretical Physics
[2] UCAS,School of Fundamental Physics and Mathematical Sciences, Hangzhou Institute for Advanced Study
[3] ICTP-AP,Department of Physics and Center for Theoretical Physics
[4] Peng Huanwu Center for Fundamental Theory,Physics Division
[5] National Taiwan University,undefined
[6] National Center for Theoretical Sciences,undefined
来源
Journal of High Energy Physics | / 2023卷
关键词
1/; Expansion; Chern-Simons Theories; Scattering Amplitudes; Supersymmetric Gauge Theory;
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摘要
In this paper, we present the two-loop correction to scattering amplitudes in three-dimensional N\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$ \mathcal{N} $$\end{document} = 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 N\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$ \mathcal{N} $$\end{document} = 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.
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