四环主积分和超几何函数

Proceedings of MathemAmplitudes 2019: Intersection Theory & Feynman Integrals — PoS(MA2019) Pub Date : 2022-02-15 DOI:10.22323/1.383.0023

S. Laporta

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引用次数: 0

摘要

我们回顾了包含椭圆常数的4环QED对电子g-2和斜率的贡献的分析结果。我们描述了具有4F3超几何表达式的四个椭圆常数之间的关系。特别地，我们考虑Broadhurst和Mellit发现的二次关系，并通过引入自由参数，将其推广到超几何4F3值之间的新的二次关系。

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Four-loop master integrals and hypergeometric functions

We recall the analytical result of the 4-loop QED contribution to the electron g-2 and slope, which contain elliptic constants. We describe the relations between four elliptic constants which have 4F3 hypergeometric expressions. In particular we consider a quadratic relation found by Broadhurst and Mellit, and, by introducing a free parameter, we generalize it to a new quadratic relation between values of the hypergeometric 4F3.

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Proceedings of MathemAmplitudes 2019: Intersection Theory & Feynman Integrals — PoS(MA2019)

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