论文标题
三参数椭圆双盒
A Three-Parameter Elliptic Double-Box
论文作者
论文摘要
我们以椭圆形的椭圆形的椭圆形性，以Arxiv：1712.02785的形式表达了十点椭圆双盒的玩具模型。该玩具模型对应于椭圆双盒的特定非物理极限，其中仅取决于三个双形状交叉比例。尽管该图在此限制中完全置换了对称性，但我们用来表达的两个椭圆形的形式主义中的两个属性都不表现出。我们观察到该函数是纯椭圆形的聚集素，这是椭圆形积分之间非平凡身份的结果。
We express a toy model of the ten-point elliptic double-box, first characterized in arXiv:1712.02785, in terms of elliptic polylogarithms. This toy model corresponds to a particular unphysical limit of the elliptic double-box in which it depends on only three dual conformal cross-ratios. While the diagram is fully permutation symmetric in the cross-ratios in this limit, this property is not manifest in either of the two elliptic polylogarithm formalisms we use to express it. We observe that the function is a pure elliptic polylogarithm, which is the result of nontrivial identities between elliptic integrals depending on the conformal cross-ratios.
