Simplifying Differential Equations for Multiscale Feynman Integrals beyond Multiple Polylogarithms.
Simplifying Differential Equations for Multiscale Feynman Integrals beyond Multiple Polylogarithms.
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DOI：
10.1103/physrevlett.118.141602
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发表时间：
2017-02
影响因子：
8.6
通讯作者：
Luise Adams;Ekta Chaubey;S. Weinzierl
中科院分区：
文献类型：
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作者：
Luise Adams;Ekta Chaubey;S. Weinzierl
在这封信中，我们利用 Picard-Fuchs 算子的因式分解特性来解耦多尺度费曼积分的微分方程。该算法将微分方程简化为 Picard-Fuchs 算子不可约因子阶大小的块。作为副产品，我们的方法可用于轻松地将费曼积分的微分方程转换为多个多对数为 ϵ 形式。
In this Letter we exploit factorization properties of Picard-Fuchs operators to decouple differential equations for multiscale Feynman integrals. The algorithm reduces the differential equations to blocks of the size of the order of the irreducible factors of the Picard-Fuchs operator. As a side product, our method can be used to easily convert the differential equations for Feynman integrals which evaluate to multiple polylogarithms to an ϵ form.