论文标题
一环手性八块的阳性几何形状
Positive Geometries for One-Loop Chiral Octagons
论文作者
论文摘要
受Amplituhedron的拓扑符号定义的启发，我们引入了与平面$ \ MATHCAL {N} = 4 $ SUPER YANG-MILLS理论相似但独特的积极几何形状与一环散射幅度相关的。最简单的几何形状是那些具有最大符号翻转数量的几何形状，结果与以前在红外（IR）有限的（IR）有限的，纯和双形成型不变的本地积分的背景下相关的手性八足。我们的结果桥接了现代振幅计划的两个不同主题：积极的几何和Feynman积分。
Inspired by the topological sign-flip definition of the Amplituhedron, we introduce similar, but distinct, positive geometries relevant for one-loop scattering amplitudes in planar $\mathcal{N}=4$ super Yang-Mills theory. The simplest geometries are those with the maximal number of sign flips, and turn out to be associated with chiral octagons previously studied in the context of infrared (IR) finite, pure and dual conformal invariant local integrals. Our result bridges two different themes of the modern amplitudes program: positive geometry and Feynman integrals.
