超越了单一的椭圆曲线

Proceedings of Loops and Legs in Quantum Field Theory — PoS(LL2022) Pub Date : 2022-07-25 DOI:10.22323/1.416.0040

Hildegard Muller, S. Weinzierl

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引用次数: 0

摘要

在这次演讲中，我们讨论了两条椭圆曲线的相互作用，它们出现在费曼积分的不同子扇区中。我们分析了两个椭圆曲线上的一个特殊的费曼积分，并推导了一个相关的微分方程。我们讨论了微分方程的混合项，它依赖于两条椭圆曲线。

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Beyond a single elliptic curve

In this talk we discuss the interplay of two elliptic curves, which occur in diﬀerent sub-sectors of Feynman integrals. We analyse a particular Feynman integral depending on two elliptic curves and derive an associated diﬀerential equation in 𝜀 -form. We discuss the mixed entries of the diﬀerential equation, which depend on both elliptic curves.

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Proceedings of Loops and Legs in Quantum Field Theory — PoS(LL2022)

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