为四环QED主积分的解析拟合建立基础

Proceedings of Loops and Legs in Quantum Field Theory — PoS(LL2018) Pub Date : 2018-10-02 DOI:10.22323/1.303.0073

S. Laporta

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引用次数: 8

摘要

在本文中，我将简要地描述如何找到主积分的PSLQ拟合所必需的一些基本元素，这些元素出现在计算四环对电子的贡献$g$-$2$和QED中的重整化常数中。特别地，我们考虑了包含单位六次方根的多对数和椭圆积分的主积分。本文还介绍了一种新的高精度四回路Z_2的数值测定方法。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Building bases for analytical fits of four-loop QED master integrals

In this paper I will briefly describe how to find some elements of the basis necessary for the PSLQ fits of master integrals that appear in the calculation of four-loop contributions to the electron $g$-$2$ and the renormalization constants in QED. In particular we consider master integrals containing polylogarithms of the sixth root of the unity and elliptical integrals. A new high-precision numerical determination of $Z_2$ at four loops will be also shown.

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Proceedings of Loops and Legs in Quantum Field Theory — PoS(LL2018)

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