论文标题

ABJM理论中的两环八点振幅

The two-loop eight-point amplitude in ABJM theory

论文作者

He, Song, Huang, Yu-tin, Kuo, Chia-Kai, Li, Zhenjie

论文摘要

在本文中,我们将两循环的校正介绍给三维$ \ MATHCAL {n} = 6 $ Chern-Simons Matter Theorys中的散射幅度。我们使用八点案例作为我们的主要示例,但是该方法概括为所有多重性。整数完全通过双重共形对称性,最大切割,软性行为的限制以及消失的奇数振幅的限制。在与HIGGS正常化执行集成后,集成结果表明,红外差异再次与$ {\ cal N} = 4 $ Super Yang-Mills相同。减去差异后,有限部分是双保形的不变性,并且尊重各种对称性。它具有均匀的超验权重二,并且表现出很好的分析结构。

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

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