论文标题
Feynman的积分取决于两个椭圆曲线
A Feynman integral depending on two elliptic curves
论文作者
论文摘要
我们研究一个具有一个内部质量的两环功能。根据两条椭圆形曲线,这个Feynman积分是最简单的Feynman积分之一。我们将关联的微分方程转换为$ \ varepsilon $ - form。我们研究微分方程的条目,尤其是取决于这两种椭圆曲线的条目。
We study a two-loop four-point function with one internal mass. This Feynman integral is one of the simplest Feynman integrals depending on two elliptic curves. We transform the associated differential equation into an $\varepsilon$-form. We study the entries of the differential equation, and in particular the entries which depend on both elliptic curves.