论文标题

参数表示中的Feynman积分降低III:剪切的积分

Reduction of Feynman Integrals in the Parametric Representation III: Integrals with Cuts

论文作者

Chen, Wen

论文摘要

相位空间切割是通过将heaviside theta函数插入动量空间feynman积分积分中实现的。通过直接参数化theta函数并在参数表示中构造逐个部分的集成(IBP)身份,我们提供了一种系统的方法来减少剪切的积分。由于可以使用IBP方法,因此可以通过构建和求解微分方程来评估剪切的积分。

Phase space cuts are implemented by inserting Heaviside theta functions in the integrands of momentum-space Feynman integrals. By directly parametrizing theta functions and constructing integration-by-parts (IBP) identities in the parametric representation, we provide a systematic method to reduce integrals with cuts. Since the IBP method is available, it becomes possible to evaluate integrals with cuts by constructing and solving differential equations.

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